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Question

Physics Question on work, energy and power

A quarter horse power motor runs at a speed of 600rpm600\, rpm. Assuming 40%40\% efficiency the work done by the motor in one rotation will be

A

7.46 J

B

7400 J

C

7.46 erg

D

74.6 J

Answer

7.46 J

Explanation

Solution

P×40%=WtP \times 40 \%=\frac{W}{t} 7464×40100=(w2π×600×2π60)\Rightarrow \frac{746}{4} \times \frac{40}{100}=\left(\frac{w}{2 \pi \times \frac{600 \times 2 \pi}{60}}\right) W=7.46J\therefore W=7.46\, J