A track and field athlete is competing in the hammer throw event. The athlete is 181cm tall, with an arm length of 90 cm and is using a standard ball and chain for the event which is 121cm long. As the athlete begins to spin, their body becomes the center of the motion, with both arms holding on to the ball and chain handle. If the initial linear velocity of the ball and chain is 29m/s upon its release, how fast (total angular velocity, rad/s) was the athlete spinning it? Show your work.
A track and field athlete is competing in the hammer throw event. The athlete is 181cm tall, with an arm length of 90 cm and is using a standard ball and chain for the event which is 121cm long. As the athlete begins to spin, their body becomes the center of the motion, with both arms holding on to the ball and chain handle. If the initial linear velocity of the ball and chain is 29m/s upon its release, how fast (total angular velocity, rad/s) was the athlete spinning it? Show your work.
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Transcribed Image Text:1. A track and field athlete is competing in the hammer throw
event. The athlete is 181cm tall, with an arm length of 90
cm and is using a standard ball and chain for the event
which is 121cm long. As the athlete begins to spin, their
body becomes the center of the motion, with both arms
holding on to the ball and chain handle. If the initial linear
velocity of the ball and chain is 29m/s upon its release, how
fast (total angular velocity, rad/s) was the athlete spinning
it? Show your work.
2. Suppose that the same athlete used a different ball and
chain that is only 91cm longs and they were able to
generate the exact same angular (spin) velocity as above.
What would be the initial linear velocity of the ball and
chain upon release?
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