After increasing the diameter of the motor sheave from 2" to 2.5", what would be the new brake horsepower (BHP) if the old BHP was 1.4?

To determine the new brake horsepower (BHP) after increasing the diameter of the motor sheave, one must understand the relationship between sheave diameter and horsepower in a mechanical drive system.

When you increase the diameter of the sheave, you're effectively changing the speed at which power is transmitted. The horsepower delivered by the motor is related to both the speed and the torque. Increasing the diameter typically results in a decrease in speed but an increase in torque, which can lead to a higher horsepower rating if the system is adjusted accordingly.

The formula for calculating horsepower involves the product of torque and speed. As the diameter increases, you can produce more torque at a lower linear speed. This means that the system can now use the increased diameter to translate more power into output work without compromising performance.

If the old brake horsepower was 1.4 and you increase the sheave size from 2 inches to 2.5 inches, the expected effect on horsepower can be calculated approximately through proportionate adjustments, considering the change in diameter.

Given that increasing the diameter provides a ratio of increased output, one can arrive at a conclusion based on established empirical formulas or empirical modifications that relate to the system's new operating conditions.

The new BHP calculated to be