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 4 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.

Please enter in a numeric value.