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 +200 rad/s. The driver steps on the accelerator, and in a time of 12.0 s the angular velocity increases to +270 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 +200 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 +270 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

a) Θ = w*t = 200*12 = 2400 rad

b) Θ = w*t = 270*12 = 3240 rad

c) Θ = w(av)*t = 235*12 = 2820 rad

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