Quote:
Originally Posted by ersin
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.
|
I think this is where the disconnect is happening, and why it's been easy for myself (and you) to be confused:
Torque * RPM is indeed power, which is why CanAutM3's math earlier (arriving at reasonable numbers) worked.
But the area under the torque vs RPM curve is NOT the power, which is why CanAutM3's math showed summing the area under the torque curve does NOT arrive at a reasonable number.
Further Explanation: Torque vs RPM is indeed power, but your formula in this post is incorrect. "P \int T dR" is wrong. Instead, it should be rendered "P \int T*D dS" where D is the angular distance, and S is time (to avoid confusion with the T we used for Torque).