Steam Turbine Failure South Africa

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Originally Posted By: maersk
...This is pointless. You're not addressing my points - saliently, how you reconcile the principle of equivalence with there being no such thing as inertial forces...


I didn't try to. Back at the beginning I made an offhand response to someone's comment about centrifugal force. If I remember correctly, the issue was whether it exists or not, and someone expressed surprise that it didn't. I offered an explanation of why that was so, and the debate was on.

The equivalence principle is an interesting way to look at the situation, so thanks for bringing it up, but it doesn't offer any new insight. The guy swinging the ball on the string isn't moving, so there's no NET force acting on him. If there was he'd be accelerating.

Originally Posted By: maersk
...Instead of refuting them you're just attacking me by resorting to sarcasm, personal attacks and offensive or belittling remarks or trite responses, like telling me off to acquaint myself with basic definitions.


Dunno who did that but it wasn't me.

Originally Posted By: maersk
Why? Because I have a different opinion(which I believe I've backed up reasonably well)?


I'm not sure your opinion is different than mine - we're just looking at the same situation and explaining it in different terms.
 
Originally Posted By: Shannow
They aren't called "the Opinions of Physics".


Of course there are "Opinions of Physics". Ten minutes reading about quarks is pretty convincing on that point.
 
Here's Professor Julius Sumner Miller's take on it.



Note, he's (was) a real professor...

I used to love his TV shows when I was a kid.
 
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Originally Posted By: Shannow
Here's Professor Julius Sumner Miller's take on it.

Note, he's (was) a real professor...

I used to love his TV shows when I was a kid.

You too, huh?
10.gif



NERDS UNITE!!!
 
Originally Posted By: Astro14
You admit to not knowing physics and yet you pick an argument with two physicists...


Inaccurate. I admit to not being a physicist. Not to "not knowing physics".

By analogy, because I'm no professional racing driver I can't know a thing about operating a motor vehicle?

Originally Posted By: Astro14
you mis-represent equivalence for example and claim that forces must be "balanced"...


What?

Originally Posted By: Astro14
Go back and read up on physics, inform your opinion with an understanding of the terms and principles, starting with Newtonian mechanics. Then we can have an intelligent discussion on how this turbine came apart.


So you're refusing to even debate me?

Originally Posted By: Astro14
I was a Teaching Assistant in the Physics department in college, but it would take too long to explain everything...so, I have no desire to perform that function in this forum.


Ok then, I win by default. Cool.

Originally Posted By: jaj
The equivalence principle is an interesting way to look at the situation, so thanks for bringing it up, but it doesn't offer any new insight. The guy swinging the ball on the string isn't moving, so there's no NET force acting on him. If there was he'd be accelerating.


Moving? In relation to what?

The earth? But the earth revolves around its axis and orbits the sun.

The sun? It too is orbiting the centre of the galaxy and the centre of mass of the solar system.

The galaxy? It too...

This would be the first flaw in your argument. You ultimately require an absolute, immovable or inertial reference frame and even if there is such a thing, it is wholly beyond human perception or detection.

The second flaw is that, unless the principle of equivalence is discarded, either gravity is also non-existent, fictitious, not really a force or the centrifugal force is real.

The third flaw is the clear, incontrovertible, mundane everyday evidence that inertia can exert force, from aerodynamic drag to APDS rounds punching through armour.

Originally Posted By: jaj
Dunno who did that but it wasn't me.


Shannow and/or Astro keep sending me back to school instead of debating me.

Now they'd have me watch children's shows.

Originally Posted By: jaj
I'm not sure your opinion is different than mine - we're just looking at the same situation and explaining it in different terms.


If your opinion is that inertial forces do not exist, that inertia can not exert force (at least relative to particular/specific reference frames) then yes, our opinions differ.

Originally Posted By: Shannow
Here's Professor Julius Sumner Miller's take on it.


When I was a child, I spake as a child, I understood as a child, I thought as a child: but when I became a man, I put away childish things.

I used to think weighing is measuring mass. At one time I was not even able to tell the difference between weight and mass.

Now, as a man, I know weighing anything inside of a fluid is but a very crude way to infer its mass and as weighing is almost always done within a fluid, not vacuum, using Kilograms or Pounds as units for mass is simply silly and poor science. Yet it is considered basic textbook physics.

Why is it silly? Simply because there is absolutely no accounting for the Archimedic force exerted by the atmosphere or whatever fluid you are weighing in. Nonetheless, it is fundamental physics that G = m x g.

And let's not even talk about the variations in gravitational acceleration across the earth's surface (higher at the poles than the equator due that pesky, non-existent force that is the object of our discussion). Also wholly unaccounted for.

Another thing I now know as a man is that there is no absolute, still or truly inert reference frame upon which to base claims of one force being real and another false.

There is no preferred reference frame. I can't just claim fighter pilots don't experience g-s because I prefer another reference frame than their cockpit.

If inertial forces are not real but fake, etc. then aerodynamic and hydrodynamic drag must also be, by way of logical consequence. And so too must lift. And thrust. And recoil. Etc.

They're all just figments of the lay man's imagination.
smile.gif
 
Copernicus found that the solar system worked a heck of a lot better when he adopted a frame of reference that didn't include him at the centre of it.
 
Originally Posted By: maersk
Originally Posted By: Astro14
You admit to not knowing physics and yet you pick an argument with two physicists...


Inaccurate. I admit to not being a physicist. Not to "not knowing physics".

By analogy, because I'm no professional racing driver I can't know a thing about operating a motor vehicle?

Originally Posted By: Astro14
you mis-represent equivalence for example and claim that forces must be "balanced"...


What?

Originally Posted By: Astro14
Go back and read up on physics, inform your opinion with an understanding of the terms and principles, starting with Newtonian mechanics. Then we can have an intelligent discussion on how this turbine came apart.


So you're refusing to even debate me?

Originally Posted By: Astro14
I was a Teaching Assistant in the Physics department in college, but it would take too long to explain everything...so, I have no desire to perform that function in this forum.


Ok then, I win by default. Cool.

Originally Posted By: jaj
The equivalence principle is an interesting way to look at the situation, so thanks for bringing it up, but it doesn't offer any new insight. The guy swinging the ball on the string isn't moving, so there's no NET force acting on him. If there was he'd be accelerating.


Moving? In relation to what?

The earth? But the earth revolves around its axis and orbits the sun.

The sun? It too is orbiting the centre of the galaxy and the centre of mass of the solar system.

The galaxy? It too...

This would be the first flaw in your argument. You ultimately require an absolute, immovable or inertial reference frame and even if there is such a thing, it is wholly beyond human perception or detection.

The second flaw is that, unless the principle of equivalence is discarded, either gravity is also non-existent, fictitious, not really a force or the centrifugal force is real.

The third flaw is the clear, incontrovertible, mundane everyday evidence that inertia can exert force, from aerodynamic drag to APDS rounds punching through armour.

Originally Posted By: jaj
Dunno who did that but it wasn't me.


Shannow and/or Astro keep sending me back to school instead of debating me.

Now they'd have me watch children's shows.

Originally Posted By: jaj
I'm not sure your opinion is different than mine - we're just looking at the same situation and explaining it in different terms.


If your opinion is that inertial forces do not exist, that inertia can not exert force (at least relative to particular/specific reference frames) then yes, our opinions differ.

Originally Posted By: Shannow
Here's Professor Julius Sumner Miller's take on it.


When I was a child, I spake as a child, I understood as a child, I thought as a child: but when I became a man, I put away childish things.

I used to think weighing is measuring mass. At one time I was not even able to tell the difference between weight and mass.

Now, as a man, I know weighing anything inside of a fluid is but a very crude way to infer its mass and as weighing is almost always done within a fluid, not vacuum, using Kilograms or Pounds as units for mass is simply silly and poor science. Yet it is considered basic textbook physics.

Why is it silly? Simply because there is absolutely no accounting for the Archimedic force exerted by the atmosphere or whatever fluid you are weighing in. Nonetheless, it is fundamental physics that G = m x g.

And let's not even talk about the variations in gravitational acceleration across the earth's surface (higher at the poles than the equator due that pesky, non-existent force that is the object of our discussion). Also wholly unaccounted for.

Another thing I now know as a man is that there is no absolute, still or truly inert reference frame upon which to base claims of one force being real and another false.

There is no preferred reference frame. I can't just claim fighter pilots don't experience g-s because I prefer another reference frame than their cockpit.

If inertial forces are not real but fake, etc. then aerodynamic and hydrodynamic drag must also be, by way of logical consequence. And so too must lift. And thrust. And recoil. Etc.

They're all just figments of the lay man's imagination.
smile.gif



Oh dear...you are so far off on all this...having both studied and taught physics as well as flown fighters, I understand the principles involved...so...since I can't teach you physics in this forum...where to begin?

The reference frame discussion has nothing to do with the turbine. You don't need an absolute reference frame to figure out simple Newtonian forces. A relative one will do. And the forces are simple to understand, as are their effect in that reference frame.

The turbine is under constant acceleration (centripetal acceleration due to the rotation - see Newton's second law). The force of that acceleration increased with RPM until it exceeded the strength of the turbine - then Newton's first law took over and the bits continued on their inertial path...the motion of heavenly bodies (planets, moons, etc.) are circular because, are you listening?, they are under constant acceleration (centripetal acceleration) from the gravity of the object they are orbiting.

Weighing things inside a fluid has nothing to do with mass, you can weigh things in air for that...it has everything to do with determining density - see "Archimedes"...and yes, the bouyancy is completely accounted for.

The variations in the earth's gravity has nothing to do with your supposed "pesky" equivalent force and everything to do with the change in gravity due to distance from the center of mass. Simply accounted for if you understand that gravity varies with the inverse square of the distance...by climbing a mountain, you've varied the distance slightly and so you should experience less gravity.

Drag is a real force. So is lift. So is thrust. So is induced drag. When you have more thrust than drag, the airplane accelerates - or climbs - but they're the same thing - an increase in energy, either potential (altitude) or kinetic (speed). When you do a constant "G" loop in a fighter, the curvature of the airplane's path changes with respect to airspeed and direction of turn. When inverted at the top of the loop, gravity provides part of the centripetal acceleration that turns the airplane back towards the ground. 2,000 hours as a fighter pilot, I know what the forces are...if you really wnat to understand how those forces interact on an airplane, I recommend a copy of "Aerodynamics for Naval Aviators".

If you're going to talk about this stuff, go to a university. Enroll in the calculus-based Newtonian mechanics class. When you've graduated, then we can talk. The children's show was actually pretty good...but you refuse to learn the principles...and so you use terms incorrectly, without the scientific meaning, and then wonder why you're not understood.

You're engaging in a serious of logical fallacies that support a layman's undestanding but are contrary to the principles of physics. Reminds me of the educated men early in the last century, at the beginning of the space program, who swore that a rocket could not work in a vacuum because there was "nothing to push against"...they failed to understand Newton's third law. There was not an "equivalent force" in space to make the rocket work...

Look, I would love to teach you physics, but it's not possible in this forum.

There is no "debate" here, your understanding, simply stated, is wrong. You don't "win" "Mr. Sheen"...I choose to walk away from a pointless discussion.

Good Luck - hope the centrifugal force doesn't fling you off the planet when one of those pesky equivalent forces causes a variation in gravity...
 
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Originally Posted By: Astro14
Oh dear...you are so far off on all this...having both studied and taught physics as well as flown fighters, I understand the principles involved...so...since I can't teach you physics in this forum...where to begin?


I wouldn't know, I've never been off the ground for more than 5 seconds straight, chief.

Originally Posted By: Astro14
The reference frame discussion has nothing to do with the turbine. You don't need an absolute reference frame to figure out simple Newtonian forces. A relative one will do. And the forces are simple to understand, as are their effect in that reference frame.


Of course it has to do. Relative to the reference frame of the aircraft's cockpit, the centrifugal force is quite real. Yet you're discounting it even in this instance. Why? Because you appeal to a supposedly higher reference frame to explain away the centrifugal force quite apparent to the pilot as ... what, exactly?

The centripetal force is only making him change direction. It's not crushing him in his seat. What force is doing that? Inertia? Inertia isn't a force, it is a property of mass. So is inertia capable of exerting force? What is that force called, in this instance?

Quite simply, if mass did not resist acceleration, there would be no inertial forces (including the centrifugal force). Yet you only deny the obvious inertial forces.

You maintain others' existence simply because they are less conspicuously owed to inertia. We shall see about these further on.

Originally Posted By: Astro14
The turbine is under constant acceleration (centripetal acceleration due to the rotation - see Newton's second law). The force of that acceleration increased with RPM until it exceeded the strength of the turbine - then Newton's first law took over and the bits continued on their inertial path...the motion of heavenly bodies (planets, moons, etc.) are circular because, are you listening?, they are under constant acceleration (centripetal acceleration) from the gravity of the object they are orbiting.


Please explain to me how one single solitary force can break objects up.

How can I crush or break something, a pencil with just one hand, pushing it against nothing?

How can I snap a steel cable that's not connected to anything but the crane's hook (considering the cable's own weight as negligible compared to its load capacity)?

Originally Posted By: Astro14
Weighing things inside a fluid has nothing to do with mass, you can weigh things in air for that...it has everything to do with determining density - see "Archimedes"...and yes, the bouyancy is completely accounted for.


All gasses and liquids are fluids. Atmospheric air is a gas.

The Archimedic force really is wholly unaccounted for. The Archimedic force is what makes hot air and hydrogen or helium balloons rise against the pull of gravity.

Were the Archimedic force accounted for, you'd need to know:

- the air density at the particular place and time of weighing (as it varies with atmospheric conditions and altitude/geographic location) and the mean density of the object you are weighing

or

- air density and the volume of air displaced by the object you're weighing.

In addition to the apparent weight measured by the scales.

So what was the physicists' solution to this conundrum?
Simple: ignore the Archimedic force altogether.
smile.gif


Unless you're weighing within water or some another liquid. Cause then the error caused by the Archimedic force becomes just a slight tad too large to keep sweeping under the carpet (considering water is some 800+ times denser than air).
smile.gif


To get rid of the pesky Archimedic force you need to weigh in high vacuum, like the good people at the UK's National Physical Laboratory do:

http://www.npl.co.uk/engineering-measure...hing-facilities

This all goes to show everything one sees and hears must be thoroughly filtered through reason.

I mean, if high-school and college physicists don't care about precision with something as basic as this (they don't even mention the Archimedic force of atmosphere, let alone account for it), what else are they being careless about on their kooky children's shows?

Originally Posted By: Astro14
The variations in the earth's gravity has nothing to do with your supposed "pesky" equivalent force and everything to do with the change in gravity due to distance from the center of mass. Simply accounted for if you understand that gravity varies with the inverse square of the distance...by climbing a mountain, you've varied the distance slightly and so you should experience less gravity.


Nice attempt at dodging right there.

http://en.wikipedia.org/wiki/Gravity_of_Earth#Latitude

"At latitudes nearer the equator, the outward centrifugal force produced by Earth's rotation is stronger than at polar latitudes. This counteracts the Earth's gravity to a small degree, reducing downward acceleration of falling objects. At the equator, this apparent gravity is 0.3% less than actual gravity."

Naturally, you may consider WikiPedia a source of ill repute. So here's Britannica's take on it

http://www.britannica.com/EBchecked/topi...elestial-bodies

"Newton showed that the equatorial bulge of the Earth was a consequence of the balance between the centrifugal forces of the rotation of the Earth and the attractions of each particle of the Earth on all others. The value of gravity at the surface of the Earth increases in a corresponding way from the Equator to the poles. Among the data that Newton used to estimate the size of the equatorial bulge were the adjustments to his pendulum clock that the English astronomer Edmond Halley had to make in the course of his astronomical observations on the southern island of Saint Helena. Jupiter, which rotates faster than the Earth, has a proportionally larger equatorial bulge, the difference between its polar and equatorial radii being about 10 percent. Another success of Newton’s theory was his demonstration that comets move in parabolic orbits under the gravitational attraction of the Sun. In a thorough analysis in the Principia, he showed that the great comet of 1680–81 did indeed follow a parabolic path."

So is at least the Centrifugal Force accounted for in scales?

Nope. The scales would need an integrated GPS to tell it the latitude.

Originally Posted By: Astro14
Drag is a real force. So is lift. So is thrust. So is induced drag. When you have more thrust than drag, the airplane accelerates - or climbs - but they're the same thing - an increase in energy, either potential (altitude) or kinetic (speed). When you do a constant "G" loop in a fighter, the curvature of the airplane's path changes with respect to airspeed and direction of turn. When inverted at the top of the loop, gravity provides part of the centripetal acceleration that turns the airplane back towards the ground. 2,000 hours as a fighter pilot, I know what the forces are...if you really wnat to understand how those forces interact on an airplane, I recommend a copy of "Aerodynamics for Naval Aviators".


That's all well and good but I'm only interested in these statements:

"Drag is a real force.
So is lift.
So is thrust.
So is induced drag."

So you're basically admitting that inertia exerts force.

Drag is the inertia of air molecules resisting acceleration.
Lift is the inertia of air molecules resisting and imparting acceleration.
Thrust is the inertia of air and combustion gasses' molecules resisting acceleration.

So if you consider all these to be actual, real forces even though they are only exerted by inertia, why are you discriminating against the particular inertial force called the Centrifugal Force (just another example of mass resisting acceleration - perpetual acceleration in this case)?

Why you gotta be hatin' on the Centrifugal Force, man?

Originally Posted By: Astro14
If you're going to talk about this stuff, go to a university. Enroll in the calculus-based Newtonian mechanics class. When you've graduated, then we can talk. The children's show was actually pretty good...but you refuse to learn the principles...and so you use terms incorrectly, without the scientific meaning, and then wonder why you're not understood.


Why you gotta be puttin' me in my place like that? Don't you appreciate my debating prowess?
smile.gif


Do you change or buy your own engine oil?

I mean, unless you're a professional mechanical engineer and chemist you're clearly not qualified to offer opinion even on which engine oil ought to be used. Let alone actually change the oil.

Originally Posted By: Astro14
You're engaging in a serious of logical fallacies that support a layman's undestanding but are contrary to the principles of physics. Reminds me of the educated men early in the last century, at the beginning of the space program, who swore that a rocket could not work in a vacuum because there was "nothing to push against"...they failed to understand Newton's third law. There was not an "equivalent force" in space to make the rocket work...


You're the one claiming there's no centrifugal force despite the incontrovertible evidence right here in this thread.

Originally Posted By: Astro14
Look, I would love to teach you physics, but it's not possible in this forum.


That's quite alright. I'm prolly a lost cause anyway.

Originally Posted By: Astro14
There is no "debate" here, your understanding, simply stated, is wrong. You don't "win" "Mr. Sheen"...I choose to walk away from a pointless discussion.


Ok, you don't lose. It's just that I win.
smile.gif


Originally Posted By: Astro14
Good Luck - hope the centrifugal force doesn't fling you off the planet when one of those pesky equivalent forces causes a variation in gravity...


Pray tell, why do you people launch your shuttles from Cape Canavaral and the French launch their Ariane rockets from French Guyana?

Why not further up north, with the centrifugal force not existing and all?

Ok, that's enough. I must be gracious in victory.

smile.gif
 
Can't wait for your book to come out. :rolleyes:

Do Astro and I get free copies ?

What I find funniest about your frame of reference ramblings, is that being a Man, thinking like a Man, and (I'm making an assumption here) presumably having the ability to drive a car like a Man.

In doing so, your subconscious will be constantly judging corner radii, entry speed, and steering input to balance the available centripetal forces with the acceleration required to follow your chosen course...you are working in the global frame of reference.

The amount of "force" crushing you against the door in your rotating frame of reference tells you nothing about the type of corner that you are in, how fast you are going, or what you need to do next to navigate safely to the end of the road...your subconscious knows it whether you acknowledge it or not.

Your rotating frame of reference needs to be redefined for every single event/corner, rather than a global plane of reference where the same principals are at work every time.

And for the last time, there IS NO FORCE crushing you against your seat...your body wants to either stay stationary, or at a constant direction and speed...UNLESS ACTED ON BY A FORCE...the force is centripetal force...your body is resisting change in direction, and it's the body of the car/seat that is transferring the force to get you to change direction (accelerate).
 
Originally Posted By: maersk
Ok, that's enough. I must be gracious in victory.

smile.gif



Feels a bit like hooking up with your cousin I guess.

Might feel good, but it's still wrong
 
OK - let's begin with the definition of a force: In physics, a force is any influence that causes a free body to undergo a change in speed, a change in direction, or a change in shape

That's from wikipedia...since you're all fans of that source...

Now, let's look at Newton's First Law (again, from Wikipedia): Newton's first law of motion states that objects continue to move in a state of constant velocity unless acted upon by an external net force or resultant force.[10] This law is an extension of Galileo's insight that constant velocity was associated with a lack of net force (see a more detailed description of this below). Newton proposed that every object with mass has an innate inertia that functions as the fundamental equilibrium "natural state" in place of the Aristotelian idea of the "natural state of rest". That is, the first law contradicts the intuitive Aristotelian belief that a net force is required to keep an object moving with constant velocity. By making rest physically indistinguishable from non-zero constant velocity, Newton's first law directly connects inertia with the concept of relative velocities. Specifically, in systems where objects are moving with different velocities, it is impossible to determine which object is "in motion" and which object is "at rest". In other words, to phrase matters more technically, the laws of physics are the same in every inertial frame of reference, that is, in all frames related by a Galilean transformation.

For example, while traveling in a moving vehicle at a constant velocity, the laws of physics do not change from being at rest. A person can throw a ball straight up in the air and catch it as it falls down without worrying about applying a force in the direction the vehicle is moving. This is true even though another person who is observing the moving vehicle pass by also observes the ball follow a curving parabolic path in the same direction as the motion of the vehicle. It is the inertia of the ball associated with its constant velocity in the direction of the vehicle's motion that ensures the ball continues to move forward even as it is thrown up and falls back down. From the perspective of the person in the car, the vehicle and everything inside of it is at rest: It is the outside world that is moving with a constant speed in the opposite direction. Since there is no experiment that can distinguish whether it is the vehicle that is at rest or the outside world that is at rest, the two situations are considered to be physically indistinguishable. Inertia therefore applies equally well to constant velocity motion as it does to rest.

So, an object in motion will stay in motion unless acted on by a force.

Inertia, then is a property of physical law. Not a force.

A force, by definition, causes and object to change direction or speed. Motion is the change in position over time, or if using calculus, the first derivative of position with respect to time. Understand too that motion is a vector, it has both magnitude and direction. A change to either is the result of a force.

Here ends the first lesson in Physics.
 
So, from the first lesson, we now know that objects will stay in motion (same direction, same velocity) unless acted on.

Further, we know that Newton's Second Law states that F=MA (though in his seminal work; "Principia Mathematica", he never expresses it that way...that's the derivation). So, a change in an object's motion vector, an acceleration, can only be caused by a force. Acceleration is the the change in motion, or in calculus, the second derivative of postion with respect to time.

How then, do we explain circular motion? The direction continues to change, so there must be a constant force that changes the direction. That force is the centripetal force. It changes the direction of the object TOWARDS THE CENTER OF THE CIRCLE.

This is a key point of understanding. Without the force constantly applied to the center, the object would STOP going in a circle and proceed on a tangential vector. It's inertia, that physical property of all matter, would simply cause it to go straight. Newton's first law again.

The only force is the centripetal force.

From Wikipeida (that internet-based font of knowledge, more authoritative than my copies of Physics textbooks...or my understanding of the subject):

In physics, circular motion is rotation along a circle: a circular path or a circular orbit. It can be uniform, that is, with constant angular rate of rotation, or non-uniform, that is, with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts. The equations describing circular motion of an object do not take size or geometry into account, rather, the motion of a point mass in a plane is assumed. In practice, the center of mass of a body can be considered to undergo circular motion.

Examples of circular motion include: an artificial satellite orbiting the Earth in geosynchronous orbit, a stone which is tied to a rope and is being swung in circles (cf. hammer throw), a racecar turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.

Circular motion is accelerated even if the angular rate of rotation is constant, because the object's velocity vector is constantly changing direction. Such change in direction of velocity involves acceleration of the moving object by a centripetal force, which pulls the moving object toward the center of the circular orbit. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion.

So, circular motion is accelerated motion. It is accelerated towards the center of the circle.

Here ends the second lesson in physics.
 
Again from wikipedia:

For an object accelerating in circular motion, the unbalanced force acting on the object equals F= -mvSquared/r

where m is the mass of the object, v is the velocity of the object and r is the distance to the center of the circular path and is the unit vector pointing in the radial direction outwards from the center. This means that the unbalanced centripetal force felt by any object is always directed toward the center of the curving path. Such forces act perpendicular to the velocity vector associated with the motion of an object, and therefore do not change the speed of the object (magnitude of the velocity), but only the direction of the velocity vector. The unbalanced force that accelerates an object can be resolved into a component that is perpendicular to the path, and one that is tangential to the path. This yields both the tangential force which accelerates the object by either slowing it down or speeding it up and the radial (centripetal) force which changes its direction.

So, there is only actual force, the centripetal force.

Centrifugal force is a fictitious force...that is, you feel it, but it's because the reference frame is flawed...not because a real force exists.

Again from Wikipedia: A fictitious force, also called a pseudo force,[1] d'Alembert force[2][3] or inertial force,[4][5] is an apparent force that acts on all masses in a non-inertial frame of reference, such as a rotating reference frame. The force F does not arise from any physical interaction but rather from the acceleration a of the non-inertial reference frame itself.

So, centrifugal force itself doesn't exist. It is apparent from the reference frame.

Here ends the third lesson in Physics.
 
So, if centrifugal force doesn't exist, why launch rockets from the equator?

Simple: velocity - there is a roughly a 1,000 mile per hour velocity at the equator. That velocity is added to the velocity of the rocket as it launches to achieve the roughly 18,000 mile per hour orbital velocity, assuming you launch in the direction of rotation.

The earth is an oblate spheroid, due to the interaction of rotational inertia and the structure of the palnet itself. Gravity pulls an object into a perfect sphere, but increase the rotational velocity, or decrease density, or increase elasticity and it would flatten out even more. It's not pulled out by centrifugal force, but by rotational inertia that affects the parts of the earth that are rotating fastest.

The variation in gravity is complex. Recall that Gravity is G= M1M2/rSquared. As we vary r, we change gravity. So, there is a change in gravity solely from the change in r, because of the bulge, r has varied and so has gravity. But this only accounts for about 30% of the decrease. The remainder of the gravitational decrease at the equator is due to the velocity of the earth's surface, not centrifugal force, but the increased velocity and circular motion...some of the gravity is "used" (if you will) to keep the object on the curved path of the earth's surface.

Again, from wikipedia: Any object that is stationary with respect to the surface of the Earth is actually following a circular trajectory, circumnavigating the Earth's axis. Pulling an object into such a circular trajectory requires a force. The acceleration that is required to circumnavigate the Earth's axis along the equator at one revolution per sidereal day is 0.0339 m/s². Providing this acceleration decreases the effective gravitational acceleration. At the equator, the effective gravitational acceleration is 9.7805 m/s². This means that the true gravitational acceleration at the equator must be 9.8144 m/s² (9.7805 + 0.0339 = 9.8144).

At the poles, the gravitational acceleration is 9.8322 m/s². The difference of 0.0178 m/s² between the gravitational acceleration at the poles and the true gravitational acceleration at the equator is because objects located on the equator are about 21 kilometers further away from the center of mass of the Earth than at the poles, which corresponds to a smaller gravitational acceleration.

In summary, there are two contributions to the fact that the effective gravitational acceleration is less strong at the equator than at the poles. About 70 percent of the difference is contributed by the fact that objects circumnavigate the Earth's axis, and about 30 percent is due to the non-spherical shape of the Earth.

But it gets more subtle and complex from there...

Because the distribution of mass is unequal, the gravity felt by an object in orbit varies unless it is in a strictly equatorial orbit. As the satellite goes over the poles, it feels slightly less gravity (less mass) and slightly more at the equator.

This has to be compensated for in the calculation of time from GPS satellites by the way...

So, gravity varies 1. with the distance from the center (climb a mountain and it is less), 2. angular velocity (nearer or farther from the equatorial plane of rotation) or 3. density of the earth below the object (this one is the smallest, but real enough to require compensation in extremely precise measurements.

Here ends the fourth lesson in Physics.

Maybe later, I can take the time to explain mass and bouyancy...You know, I used to get paid for this stuff...
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Astro, Shannow, you guys have the patience of Job
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maersk I appreciate your enthusiasm but it's very clear you're in that middle territory where you have enough knowledge to be dangerous but don't fully understand the subject.

FWIW I have a Master's degree in mechanical engineering and I think those "kid's show" videos are great. Watch 'em, you may just learn something.

Some good reading on the subject, including this quote which I think sums up this entire thread nicely: "...but because the human mind has such a strong inclination to perceive inertia as a force in itself, it needs to be clarified in the most basic terms."
http://www.scienceclarified.com/everyday/Real-Life-Chemistry-Vol-3/Centripetal-Force.html
http://regentsprep.org/Regents/physics/phys06/bcentrif/centrif.htm

jeff
 
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So, having defined a force, and what is not a force, what is a pseudo force?

The answer has to do with human perception. If you're in a non-inertial (that is a reference frame that is subject to acceleration or or acclerated motion) human perception, which is not accurate, "feels" a force. Like "G" in a fighter cockpit.

How do you explain the things you feel? You "assume a force"....that is, you make up a fictitious (or pseudo) force...

The reference frame is moving in an accelerated manner, so instead of realizing that, humans perceive another force. The classic example is a closed box. If I am in a closed box that is accelerating, I "feel" a force, but that is not what is actually happening, remember, that F=MA. But for fictitious forces, the F is proportional to mass, since the A is constant. It's not a real force at all, since it's proportional, it has direction, but lacks the magnitude of a real force. If it had magnitude, it would be different for all masses.

Note that we are staying within the Newtonian mechanics realm of non-relativistic velocities...things get even more complex once the velocity increases.

Again, from wikipedia:

A fictitious force, also called a pseudo force, d'Alembert force or inertial force, is an apparent force that acts on all masses in a non-inertial frame of reference, such as a rotating reference frame.

The force F does not arise from any physical interaction but rather from the acceleration a of the non-inertial reference frame itself. As stated by Iro:

Such an additional force due to nonuniform relative motion of two reference frames is called a pseudo-force.

– H Iro in A Modern Approach to Classical Mechanics p. 180

According to Newton's second law in the form F = m a, fictitious forces always are proportional to the mass m acted upon.

Four fictitious forces are defined in accelerated frames: one caused by any relative acceleration of the origin in a straight line (rectilinear acceleration), two caused by any rotation (centrifugal force and Coriolis force) and a fourth, called the Euler force, caused by a variable rate of rotation, should that occur.

Take the closed box example, if I am in a train car and it is accelerating, I "feel" a force towards the back of the car. But that's because I am in a non-inertial reference frame....not because inertia itself is a force. Inertia is a property. The "inertial force" is contrary to the force definition in lesson one.

But pseudo forces and non-inertial frames have their mathematical uses. They enable solving problems in complex motion (and I'll keep it simple by ending there), even though the force is fictitious, it can be mathematically useful, because it allows me to solve for other variables in motion.

Here ends the fifth lesson in Physics.
 
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A well-known scientist (some say it was Bertrand Russell) once gave a public lecture on astronomy. He described how the earth orbits around the sun and how the sun, in turn, orbits around the center of a vast collection of stars called our galaxy. At the end of the lecture, a little old lady at the back of the room got up and said: "What you have told us is rubbish. The world is really a flat plate supported on the back of a giant tortoise." The scientist gave a superior smile before replying, "What is the tortoise standing on?" "You're very clever, young man, very clever", said the old lady. "But it's turtles all the way down!"

In the early days of science, around the time that Newton published his Principia Mathematica, most people still believed that the earth was the center of everything and that planetary bodies rotated around it - about as accurate as the turtles description, but still, it satisfied human perception: I don't feel like I am moving, so it must be that I am still.

In fact we now know that this is not the case.

Still, back then, there were some who knew that this could not be the case. To anyone who stands and looks at the sky, it seems clear that the Earth stays in one place while everything in the sky rises in the east and sets in the west once a day. Observing over a longer time, one sees more complicated movements. The Sun makes a slower circle eastward over the course of a year; the planets have similar motions, but they sometimes move in the reverse direction for a while (retrograde motion)....which is diffficult to explain if they are revolving around the earth.

Again from wikipedia:
As these motions became better understood, more elaborate descriptions were required, the most famous of which was the geocentric Ptolemaic system, which achieved its full expression in the 2nd century. The Ptolemaic system was a sophisticated astronomical system that managed to calculate the positions for the planets to a fair degree of accuracy.[3] Ptolemy himself, in his Almagest, points out that any model for describing the motions of the planets is merely a mathematical device, and since there is no actual way to know which is true, the simplest model that gets the right numbers should be used.[4] However, he rejected the idea of a spinning earth as absurd since it would create huge winds. His planetary hypotheses were sufficiently real that the distances of moon, sun, planets and stars could be determined by treating orbits' celestial spheres as contiguous realities.

So, until Copernicus proved it in his thesis "De Revolutionibus", people, particularly lay people, were content with believing that the sun revolved around the earth because that is how it felt....the revolution in understanding began there, with the culmination in Newton's articulation of three laws of motion that mathematically explained all motion, including planetary motion.

Just because a person "feels" something to be true, does not make it so.

Here ends the sixth lesson in Physics
 
Originally Posted By: Astro14
A well-known scientist (some say it was Bertrand Russell) once gave a public lecture on astronomy. He described how the earth orbits around the sun and how the sun, in turn, orbits around the center of a vast collection of stars called our galaxy. At the end of the lecture, a little old lady at the back of the room got up and said: "What you have told us is rubbish. The world is really a flat plate supported on the back of a giant tortoise."


Discworld anyone?
 
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