dt=0 at that point where v=0, dt=0 at every point on the graph. This is how we look at a time slice, we make dt=0, which fixes the observation to some time (t).
Yes, I know. But time (or engine RPM) isn't stipulated on that graph - only piston position, velocity and acceleration vs crank angle. The engine has to be moving to produce a piston velocity graph like that. If you had super fine increments of time (like every microsecond) along with corresponding movement distance measurements of the piston, and plotted those for an engine RPM of say 1 RPM you would see a time period where the piston V=0 at TDC and BDC for some small delta-t (dt). If you can see that at 1 RPM then it's still going to be there at any RPM, only the time period the piston is at V=0 will shrink accordingly.
Last edited: