Question

A car is traveling along a road, and its engine is turning over with an angular velocity of +199 rad/s. The driver steps on the accelerator, and in a time of 14.2 s the angular velocity increases to +263 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 +199 rad/s during the entire 14.2-s interval?

(b) What would have been the angular displacement if the angular velocity had been equal to its final value of +263 rad/s during the entire 14.2-s interval?

(c) Determine the actual value of the angular displacement during the 14.2-s interval.

Answer 1

a. d = V*t = 199 rad/s * 14.2 s =
2825.8 rad.

b. d = V*t = 263 rad/s * 14.2 s = 3734.6 rad.

c. a = (263 - 199) / 14.2 = 4.51 rad/s^2.

d = at^2 = 4.51 * (14.2)^2 = 908.8 rad.

Answer 2

Define anguldi velocity and give lts units