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Difficult

Multiple Angular Momenta

APPH12-YNBEFG

A wheel ($r=0.35\text{ m}$; $m=4\text{ kg}$) is currently rotating at a constant angular velocity of $+4\text{ rad/s}$ as shown in the image. The forces shown are applied for $3.5\text{ s}$.

What is the final angular velocity after the time has elapsed?

A

$-14\text{ rad/s}$

B

$+14\text{ rad/s}$

C

$+74\text{ rad/s}$

D

$-74\text{ rad/s}$