The equation relating power P, torque T, and rotational speed ω is:

P=

This equation can be rearranged to solve for the shaft torque.

Pay special attention to the units for the calculation. In SI, the unit of power is the watt, and 1 W=1 N-m/s. Therefore, 40 kW of power is 40,000 N-m/s.

The rotational speed in rpm must be converted to units of radians per second. Recall that radians is a dimensionless quantity.

P=

 T=Pω=(40,000 N-m/s)(900 rev/min)(2π rad/rev)(1 min/60 s)              =(40,000 N-m/s)(94.248 rad/s)              =424.413 N-m