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Consider a bicycle wheel of $\text{radius} = 0.45 \text{ m}$ and $\text{mass} = 1.25 \text{ kg}$ initially sitting at rest. A force of $2 \text{ N}$ is applied at an angle of ${ 35 }^{ \circ }$ relative the edge of the wheel, causing the bicycle to rotate in the counter-clockwise direction. What is the final angular acceleration after a $\text{time} = 3 \text{ s}$?

A

$6.12\text{ rad/s}^{ 2} $

B

$0.25\text{ rad/s}^{ 2} $

C

$2.04\text{ rad/s}^{ 2} $

D

$9.18\text{ rad/s}^{ 2} $

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