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Net Work Done By Torques

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Three torques are applied to a rigid wheel: τ1=4.0 N⋅m\tau_1 = 4.0\ \mathrm{N \cdot m} at an angle of 0∘0^\circ, τ2=3.0 N⋅m\tau_2 = 3.0\ \mathrm{N \cdot m} at 90∘90^\circ, and τ3=5.0 N⋅m\tau_3 = 5.0\ \mathrm{N \cdot m} at 270∘270^\circ. If the wheel undergoes an angular displacement of 1.5 radians in the 0∘0^\circ direction, what is the net work done by the torques?

A

6.0 J

B

3.0 J

C

-1.5 J

D

18.0 J

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