Final answer:
To determine the power input for the motor, use the formula Power = Force × Velocity, where Force is the weight of the load being lifted and Velocity is the constant rate at which the load is lifted. Divide the result by the efficiency of the motor to calculate the power input.
Step-by-step explanation:
In order to determine the power input for the motor, we can use the equation:
Power = Force × Velocity
First, we need to find the force acting on the motor. Force is equal to the weight of the load being lifted, which is 360 lb converted to newtons. Since 1 lb is approximately equal to 4.448 N, the weight of the load is 1606.88 N.
Next, we need to find the velocity at which the load is being lifted. Velocity is constant at 7 ft/s, which is approximately 2.13 m/s.
Finally, we can calculate the power input using the formula:
Power = (Force × Velocity) / Efficiency