A motor turns at 1000 RPM and requires 1.5 Horsepower. What is the horsepower at 1500 RPM?

To determine the horsepower at a higher RPM based on the original motor specifications, it's essential to understand the relationship between horsepower and the speed of the motor. Horsepower is often directly related to both the torque and the speed of the motor. When RPM increases, if the torque remains constant, the horsepower will also increase proportionally.

In this scenario, the original motor operates at 1000 RPM and produces 1.5 horsepower. When the motor speed is increased to 1500 RPM, which is 1.5 times the original speed (1500 RPM is 1.5 times 1000 RPM), we can calculate the new horsepower as follows:

Horsepower is proportional to the product of the RPM and the torque. Assuming torque does not change with this increase in speed, the horsepower at the increased RPM can be calculated by multiplying the original horsepower by the ratio of the new speed to the original speed:

1.5 HP * (1500 RPM / 1000 RPM) = 1.5 HP * 1.5 = 2.25 HP.

Thus, at 1500 RPM, the motor will require 2.25 horsepower. This calculation demonstrates that as speed increases while maintaining a consistent torque output, the horsepower