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A force of $5\text{ N}$ is applied to the bicycle wheel ($m = 5\text{ kg}$; $r=0.40\text{ m}$) currently moving clockwise with an initial angular velocity of $-15\text{ rad/s}$ as shown in the image below.

If this force is applied for $15\text{ s}$, what is the final angular velocity of the wheel?

A

$52.5\text{ rad/s}$

B

$37.5\text{ rad/s}$

C

$22.5\text{ rad/s}$

D

$-37.5\text{ rad/s}$

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