Question

At maximum efficiency of 93% a turbine operates at 250 rpm and discharges 310 cfs under a 64 ft net head. Calculate the shaft power and the torque developed

Answer 1

To calculate the shaft power of a turbine operating at 93% efficiency, multiply the discharge, net head, and gravity. To calculate the torque, divide the shaft power by the rotation speed.

Step-by-step explanation:

To calculate the shaft power developed by the turbine, we can use the formula:

Shaft Power = Discharge × Net Head × Gravity

Given that the turbine operates at 93% efficiency, a discharge of 310 cubic feet per second (cfs), and a net head of 64 feet, we can calculate the shaft power as:

Shaft Power = 310 cfs × 64 ft × 32 ft/s²

To calculate the torque developed by the turbine, we can use the formula:

Torque = Shaft Power / (2π × Rotation Speed)

Given that the turbine operates at 250 rpm, we can calculate the torque as:

Torque = Shaft Power / (2π × 250 rpm)

Substituting the values, we find that the shaft power is 6,438,528 ft-lbf/s and the torque developed is 25,754.58 ft-lbf.