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Units And Measurement

Question
CBSEENPH11017679

A motor delivers 0.25hp when its shaft is running at the rate 1400 rpm. Find the torque acting on the shaft.

Solution

Here, we have
Velocity, w=1400 rpm = 146.67 rad/s
Power, P=0.25 hp = 0.25x746W=186.5W
We know,  P= straight omega space straight tau
therefore space space space space straight tau equals straight P over straight ϖ equals fraction numerator 186.5 over denominator 146.67 end fraction equals 1.27 Nm