Question

the hammer throw is an Olympic even which employs a metal ball attached to a 4 foot chain. an athlete spins the chain and hammer above his/her head and then releases it. the distance traveled is measured for competition. what is the linear speed, in feet per second, of hammer at the time of release if the athlete completes the last revolution in 0.32 sec?

Answer 1

The linear speed of the hammer in feet per second is 109.27 ft/s

Angular speed of hammer

Since the athlete completes the last revolution in t = 0.23 seconds and 1 revolution = 2π, the angular speed of the hammer, ω = 2π/t = 2π/0.23 = 27.32 rad/s.

Linear speed of hammer

Now, the linear speed v = rω where

• r = length of chain = 4 foot and
• ω = angular speed of the hammer = 27.32 rad/s

So, substituting these into the equation for v, we have

v = rω

v = 4 ft × 27.32 rad/s

v = 109.27 ft/s

So, the linear speed of the hammer in feet per second is 109.27 ft/s

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