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 9.0 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 +210 rad/s during the entire 9.0-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 9.0-s interval? (c) Determine the actual value of the angular displacement during the 9.0-s interval.

Explanation / Answer

part A:

apply angular velocity W = ang dispalcemnt/time

ang dispalcement dtheta = 210 * 9 = 1890 radians

-------------------------------------
part B :

apply angular velocity W = ang dispalcemnt/time

ang dispalcement dtheta = 270 * 9 = 2430 radians

---------------------

apply   Wf^2 - Wo^2 = 2 g theta

so theta = 270^2 -210^2/(2*9.8)

theta = 1469.38 radians

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.