During Charlie’s golf drive, the angular velocity of his club is zero at the top

Question

During Charlie’s golf drive, the angular velocity of his club is zero at the top of the backswing and 20 rad/s at the bottom of the downswing just before ball impact. The downswing lasts 0.20 s, and the distance from the club head to the axis of rotation is 2.0 m at the bottom of the downswing.

8. What is the average angular acceleration of th e club during the downswing? (Hint: Average angular acceleration = change in angular velocity/time )

9. What is the linear velocity of the club head just before impact with the ball? Which dir ection does the linear velocity act?

10. What is the centripetal acceleration of the club head just before impact? Which direction does the centripetal force act?

Explanation / Answer

8) = (change in )/(change in t)  
    = 20 rad/s / 0.2 s = 100 rad/s²

9) v = wr = 20*2 = 40 m/s   , tangential

10) centripetal acceleration = v^2 / r = 40*40 / 2 = 800 m/s^2 , radial

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