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 +190 rad/s. The driver steps on the accelerator, and in a time of 7.0 s the angular velocity increases to +300 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 +190 rad/s during the entire 7.0-s interval? (b) What would have been the angular displacement if the angular velocity had been equal to its final value of +300 rad/s during the entire 7.0-s interval? (c) Determine the actual value of the angular displacement during the 7.0-s interval.

Explanation / Answer

for acceleration ? = ?0 + at for displacement ? = (?0)t + ½at² a = -8rad/s² ? = 1250 radians = 189 revolutions

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