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?

Question

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.