Work Done by a Variable Torque
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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