Quote:
Originally Posted by Sapper_M3
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.
|
Look at the last line in his derivation: P = T x R, where P= power, T=torque and R=angular speed (RPM). Convert to calculus: P \int T dR. So, yes, power is the area under the torque vs. rpm curve.
Cheers.