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 +210 rad/s. The driver steps on the accelerator, and in a time of 12.0 s the angular velocity increases to +280 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 +210 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 +280 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 .

= t ;

= 280 * 12 = 3360 rad <-----ans

b.

= 210 * 12 = 2520 rad <-----ans

c .

average = 280 + 210 / 2 = 245 rad / s ;

= 245 *12 = 2940 rad <------ans

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