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Angular Velocity from Time-Varying Torque

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A wheel with a moment of inertia of 2 kg·m² is initially rotating with an angular velocity of 5 rad/s. For the time interval 0 ≤ t ≤ 4 s, the wheel is subjected to a time-varying torque given by the function τ(t) = (2 - t) N·m. What is the angular velocity of the wheel at t = 4 s?

A

7 rad/s

B

5 rad/s

C

1 rad/s

D

3 rad/s

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