An auto race takes place on a circular track. A car completes one lap in a time of 26.4 s, with an average tangential speed of 42.9 m/s. Find (a) the average angular speed

To find the average angular speed, we can use the formula:

average angular speed = (2π)/(time taken)

Since the car completes one lap in 26.4 s, the time taken is 26.4 s.

Plugging the values into the formula, we get:

average angular speed = (2π)/(26.4 s)

Calculating:

average angular speed = 0.2387 rad/s

Therefore, the average angular speed is approximately 0.2387 rad/s.