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A force of $45\ \text{N}$ is applied to a bicycle wheel ($r=0.35\ \text{m}$; $m=7\ \text{kg}$) as shown in the image.

If the bicycle wheel starts from rest, what is the angular displacement of the wheel after a time of $5\ \text{s}$?

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A

$92\text{ rad}$

B

$656\text{ rad}$

C

$46\text{ rad}$

D

$230\text{ rad}$

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