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Question

A constant torque of 50 N m is applied to a wheel causing it to make 40 rotations in a time period of 8 seconds. The work done by the torque is

A
1250 J
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B
12,750 J
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C
2000 J
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D
5,000 J
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Solution

The correct option is B 12,750 J
The work done is given by W= F. S if the motion of the object was in a straight line
In case of rotation, the linear parameters are replaced by angular parameters. Hence force F gets replaced by torque and linear displacement by angular displacement
Thus, work done = τ×θ=50×40×2π=12,570 KJ

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