Work Done by a Variable Torque
The torque τ applied to a wheel varies with its angular position θ according to the equation τ = 5θ(π-θ), where τ is in N·m and θ is in radians. What is the total work done by the torque as the wheel rotates from θ = 0 to θ = π?
A
5π³/6 J
B
5π³/3 J
C
5π² J
D
5π²/2 J
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