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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.

Created for Albert.io. Copyright 2016. All rights reserved.

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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