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A thin hoop initially at rest with a mass of 2.5 kg and a radius of 2.5 m is subject to a net torque $\tau(t)=500t+50$ , where $\tau$ is measured in Nm.

Which of the following best represent the angular velocity of the cylinder after 3 seconds?

A

$465 rad/s$

B

$144 rad/s$

C

$154.6 rad/s$

D

$2250 rad/s$

E

$2400 rad/s$

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