A. Compute the torque developed by an industrial motor whose output is 125kw at

Question

A. Compute the torque developed by an industrial motor whose output is 125kw at an angular speed of 4000rev/min.

(This part I can handle; 298 N*m)

B. A drum with negligible mass and 0.500m in diameter is attached to the motor shaft, and the power output of the motor is used to raise a weight hanging from a rope wrapped around the drum. How heavy a weight can the motor lift at constant speed?

I don't know what formula(s) I should be looking at.

C. At what constant speed will the weight rise?

Assuming I should have B before I worry about this part.

Explanation / Answer

A) w = 4000*2*pi/60 = 418.7 rad/s

P = T*w

T = P/w

= 125000/418.7

= 298.57 N.m

B) T = m*g*r*sin(90)

m = T/(g*r)

= 298.57/(9.8*0.25)

= 121.86 kg

c) v = r*w

= 0.25*418.7

= 104.67 m/s

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