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 +183 rad/s. The driver steps on the accelerator, and in a time of 11.7 s the angular velocity increases to +261 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 +183 rad/s during the entire 11.7-s interval? (b) What would have been the angular displacement if the angular velocity had been equal to its final value of +261 rad/s during the entire 11.7-s interval? (c) Determine the actual value of the angular displacement during the 11.7-s interval.

(a) ? = ---Select---?+ ---Select---rad/srad/s^2m/sm/s^2mrads (b) ? = ---Select---+? ---Select---srad/sm/sradm/s^2rad/s^2m (c) ? = ---Select---?+ ---Select---rad/srad/s^2radmm/s^2sm/s

Explanation / Answer

a.

s=wt = 183*11.7 =2141.1 rad

b.

s=wt = 261*11.7 3053.7 rad

c.

s=wt+0.2at^2

it is also equal to = (Wi+Wf)t/2

(Wi= initial angular velocity)

(Wf= final angular velocity)

= (261+183)*11.7/2= 2597.4 rad

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