A car is traveling along a road, and its engine is turning over with an angular

Question

A car is traveling along a road, and its engine is turning over with an angular velocity of +220 rad/s. The driver steps on the accelerator, and in a time of 12.0 s the angular velocity increases to +310 rad/s. (a) What would have been the angular displacement of the engine if its angular velocity had remained constant at the initial value of +220 rad/s during the entire 12.0-s interval? (b) What would have been the angular displacement if the angular velocity had been equal to its final value of +310 rad/s during the entire 12.0-s interval? (c) Determine the actual value of the angular displacement during the 12.0-s interval.

Explanation / Answer

Find the angular acceleration...

? = ?0 + ?t

310 = 220 - ?(12)

? = (310 - 220) / -8

? = -11.25 rad/s

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