Quote:
Originally Posted by ersin
Technically you are correct. However, D should be real distance, I'm not sure what angular distance is. But D is directly proportional to RPM and time. That is, "D dS" equals "dR", with a constant thrown in for units.
Cheers.
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More than technically. It is angular distance because we are talking about the distance covered by the crankshaft (hence, horsepower "at the crank") as it rotates. The crankshaft is not actually moving any straight line distance as we normally refer to distance being covered.
And despite the relationship between angular velocity (RPM), which is distance/time, you can't perform the integration you're suggesting. To get power you need to integrate Torque * Distance with respect to Time. Integrating Torque with respect to Distance/Time is NOT the same thing.
For proof, look up to one of CanAutM3's earlier posts. Doing integration of the curve manually by summing up the area results in nonsensically lower power figures. Try it yourself to see.