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# Final Angular Momentum

APPH12-NJLFSM

A bicycle wheel ($m$ $=$ $3$ $kg$; $r$ $=$ $1.4$ $m$) is rolling clockwise along a flat surface at a constant angular velocity of $12$ $rad/s$. A force of $5$ $N$ is applied to the wheel as shown in the image.

If this force is applied for $1.25$ $s$, what is the final angular momentum of the bicycle wheel?

A

$61.81$ $\frac { kg\cdot { m }^{ 2 } }{ s }$

B

$70.56$ $\frac { kg\cdot { m }^{ 2 } }{ s }$

C

$79.31$ $\frac { kg\cdot { m }^{ 2 } }{ s }$

D

$0$ $\frac { kg\cdot { m }^{ 2 } }{ s }$