The table that follows lists four pairs of initial and final angles of a wheel on a moving car. The elapsed time for each pair of angles is 1.5 s. For each of the four pairs, determine the average angular velocity (magnitude and direction as given by the algebraic sign of your answer).

Question

 
 Initial angle θ0  
 Final angle θ 
 (a) 
0.50 rad
0.76 rad
 (b) 
0.82 rad
0.52 rad
 (c) 
5.0 rad
3.6 rad
 (d) 
2.6 rad
4.0 rad

Answer 1

(a) Average angular velocity = 0.26 rad/s (clockwise)
(b) Average angular velocity = -0.30 rad/s (counterclockwise)
(c) Average angular velocity = -0.80 rad/s (counterclockwise)
(d) Average angular velocity = 0.70 rad/s (clockwise)