Question

A gymnast on a high bar swings through two revolutions in a time of 1.90 s. find the average angular velocity of the gymnast.

a. 6.63 rad/s
b. -6.62 rad/s
c. 12.6 rad/s
d. -12.6 rad/s

Answer 1

The average angular velocity of the gymnast is approximately 6.63 rad/s.

Step-by-step explanation:

To find the average angular velocity of the gymnast, we need to divide the total angle covered by the gymnast by the time taken. The gymnast swings through two revolutions, which is equivalent to 2 * 2π radians. The time taken is given as 1.90 s. Substituting these values into the formula for angular velocity, we have:

Angular velocity = θ / t = 2 * 2π / 1.90 = 4π / 1.90 ≈ 6.63 rad/s

Therefore, the average angular velocity of the gymnast is approximately 6.63 rad/s.