The table that follow list four pairs of initial and final angles of a wheel on a moving car. The elapsed time for each pair of angles is 2.5s. For each of the four pairs, determine the average angular velocity ( magnitude and direction as given by the algebraic sign of your answer? Initial angle (a)0.35 rad final angle 0.69 rad.W positive or negative?

Answer 1

To find the average angular velocity, we need to divide the change in angle by the elapsed time.

For the first pair of angles:

Initial angle (a) = 0.35 rad
Final angle = 0.69 rad
Elapsed time = 2.5 s

Change in angle = Final angle - Initial angle = 0.69 rad - 0.35 rad = 0.34 rad

Average angular velocity = Change in angle / Elapsed time = 0.34 rad / 2.5 s = 0.136 rad/s

Since the rotation is from 0.35 rad to 0.69 rad in a positive direction, the average angular velocity is positive.