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 10.0 s the angular velocity increases to +290 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 10.0-s interval? (b) What would have been the angular displacement if the angular velocity had been equal to its final value of +290 rad/s during the entire 10.0-s interval? (c) Determine the actual value of the angular displacement during the 10.0-s interval.

Explanation / Answer

Find the angular acceleration... ? = ?0 + at 300 = 220 - a(8) a = (300 - 220) / -8 a = -10 rad/s² Find the angular displacement... ? = (?0)t + ½at² ? = (220)(8) + ½(-10)(8)² ? = 1440 radians = 229 revolutions

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