Competitive Hammer Throw

The world record for the women’s “hammer” throw is held by Anita Wlodarczyk, who threw the 4 \(\rm{kg}\) ball a distance of 82.98 \(\rm{m}\). To perform this throw, Anita swung the ball from a 1.194 \(\rm{m}\) steel wire. Assuming she accelerated the ball from rest while making 2 rotations with constant angular acceleration, answer the following questions.

Part 1

At the instant the ball was released, if it had a speed of 26.46 \(\rm{m/s}\), what was its velocity?

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Part 2

Just before the ball was released, what was its centripetal acceleration?

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Part 3

Express the angular displacement of the ball while it was in circular motion in terms of \(\pi\) radians.

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Part 4

Using rotational kinematics equations and your answers to Part 1 and Part 3, solve for the magnitude of the angular acceleration.

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Part 5

Solve for the tangential acceleration of the ball while it was in circular motion.

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Part 6

Solve for the magnitude of the total acceleration of the ball just before it was released.

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Part 7

Just after the ball was released, what was the magnitude of the ball’s acceleration? Please answer to one decimal place.

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Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.