A 30 inch golf club is swung in a planar motion by a right handed golfer with an arm length of of 0.8 m. If the initial velocity of the golf ball is 25 m/s, what was the angular velocity of the left shoulder a the point of ball contact

The angular velocity of the left shoulder at the point of ball contact is 16 rad/s.

Explanation:

Given that

Length of the golf club Lg=30 inch=0.762m

Arm length of the golfer La=0.8 m

Initial velocity of the golf ball v=25 m/s

The relation between linear velocity, angular velocity and radius of the rotation is given by

v=rω

where v represents linear velocity, r represents the radius of the circular rotatory path and ω represents the linear velocity.

r=Lg+La=0.762+0.8=1.562 m

v=rω

ω=v/r=25/1.562=16 rad/s

The angular velocity of the left shoulder at the point of ball contact is 16 rad/s