Acertain car engine delivers enough force to create 630 n⋅m of torque when the engine is operating at 3200 revolutions per minute. part a calculate the average power delivered by the engine at this rotation rate.

The appropriate expression for the calculation of power by relating the angular energy in a given time.

In other words the instantaneous power of an angular accelerating body is the torque times the angular velocity

Where

Torque

Angular speed

Our values are given by

The angular velocity must be transformed into radians per second then

Replacing,

The average power delivered by the engine at this rotation rate is 211.1kW

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