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In the image below is a mass-less bar of total length, $l=2\text{ m}$. The hanging mass produces a net torque on the bar and the $X$ marks the axis of rotation, directly in the middle of the bar.

If the bar is released from rest, what is the angular velocity of the bar after time, $t=0.25\text{ s}$? Assume the applied torque remains constant over this time period.

A

$19.62\text{ rad/s}$

B

$39.24\text{ rad/s}$

C

$9.81\text{ rad/s}$

D

$2.45\text{ rad/s}$

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