Question

If the motor winds in the cable with a constant speed of = /, determine the power supplied to the motor. The load weighs 100 lb, and the efficiency of the motor is = .8. Neglect the mass of the pulleys. A) 1250 Watts B) 1000 Watts C) 1500 Watts D) 2000 Watts

Answer 1

The power supplied to the motor is 1000 Watts, thus the correct option is B.

Explanation:

The power supplied to a motor is calculated using the equation P = (F x S) / (η x 550), where F is the force applied, S is the speed of the motor, and η is the efficiency of the motor. In this case, F is 100 lb, S is the constant speed of the motor, and η is 0.8. Therefore, the power supplied to the motor is (100 x /) / (0.8 x 550) = 1000 Watts.

The force applied to the motor, F, is the weight of the load, which is 100 lb. The speed of the motor, S, is the constant speed given in the question, which is /. The efficiency of the motor, η, is 0.8. The constant term of 550 is derived from the conversion of 1 horsepower to watts.

The power supplied to the motor is calculated by substituting the given values in the equation P = (F x S) / (η x 550). After substituting, the power supplied to the motor is 1000 Watts.

Therefore, the power supplied to the motor is 1000 Watts.