What is the linear velocity?

Question

What is the linear velocity of the club if a golfer swings a driver and a 9 iron at the same angular velocity of 320 degrees/s? The distance from the golfer’s trunk (axis of rotation) to the club head is 184 cm for the driver and 158 cm for the 9 iron.

Answer 1

For the driver ,

r1 = 184 cm = 1.84m

and

for the 9 iron,

r2 = 158 cm = 1.58m

w = 320 degrees / s = pi *320/360 rad/s = 8/9 *pi rad/s

v = w*r

So,

for the driver ,

v1 = w*r1 = (8/9 *pi rad/s) * 1.84m = 5.14 m/s

and

for the 9 iron,

v2 = w*r2 = (8/9 *pi rad/s) * 1.58m = 4.19 m/s