Quote:
Originally Posted by CanAutM3
Work = Force x distance (not time)
Power = Work / time
Power = Force x Distance / Time = Force x speed
In the polar referential:
Force=Torque
Distance=Rotation
Time=Time
Work = Torque x Rotation
Power = Torque x Rotation / Time = Troque x RPM (agular velocity)
Hope this helps
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Well, it's a little helpful. I'm actually even more wrong than you suggested here. I talked about integrating force with respect to time, but in reality the Torque vs RPM graph doesn't even give me those values, since RPM is neither time nor distance, but a rate relating distance and time.
I guess my issue begins with my optimistic (assumption) that some amount of integration of the Torque vs RPM graph would ever give me power, when in reality (I believe now; someone correct me if I'm wrong) it never will. Torque and Power themselves are certainly directly related (in fact, by distance and time--the same variables that make up the rate/angular velocity that is RPM), but the Torque vs RPM curve does not enclose an area equivalent to power.
Now a Torque*Angular Distance vs Time graph (essentially a Work vs Time graph), that would be both generally useless for most purposes and PERFECT for giving me power by summing the area underneath the curve.