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At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 6.53 m above the water. One diver runs off the edge of the cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.99 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.

Question

At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 6.53 m above the water. One diver runs off the edge of the cliff, tucks into a "ball," and rotates on the way down with an average angular speed of 1.99 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.

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Step 1

According to the vertical kinematics equation,

1
2
h=vf+^gf
2
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1 2 h=vf+^gf 2

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Step 2

Substitute 0 for vy0 and rewrite for t.

1
2
h=
2
2h
t=
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1 2 h= 2 2h t=

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Step 3

Substitute the ...

|2(653ш)
9.8 ш/s?
=1.15s
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|2(653ш) 9.8 ш/s? =1.15s

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Physics

Angular Motion

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