Question

A gymnast is performing a giant swing on the high bar. The distance from the bar...

A gymnast is performing a giant swing on the high bar. The distance from the bar to the end of the gymnast’s body is 6 feet 5 inches. The gymnast moves his body through 350 degrees in 1.5 sec.

  1. What is the average angular velocity at the endpoint of the gymnast’s body (in degrees/sec)?

  1. What is the average linear velocity of the endpoint of the gymnast’s body (in m/s)?

                                                                                                                                                                                       

  1. What is the average linear velocity of the hip which is 3 feet 11 inches from the bar (in m/s)?
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Homework Answers

Answer #1

(a) The angular velocity can be calculated as,

(The angles are in radians and the time in seconds). Substituting values we get,

(b) We can calculate the average linear velocity as,

Substituting values we get, (the distance 6 feet 5 in is converted to meters)

(c) Here also we can use the same formula to calculate the linear velocity, (3 feet 11 inches is converted to meters),

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