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Work Done by a Variable Torque
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A variable torque is applied to a wheel initially at rest, causing it to rotate through an angle of π radians. The torque τ (in N·m) varies with angular position θ (in radians) according to τ = 5θ(π-θ). What is the total work done on the wheel?

A

5π³/3 J

B

5π³/6 J

C

5π²/2 J

D

5π² J

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