How is torque calculated using horsepower?

The correct method for calculating torque using horsepower involves a specific formula, which is derived from the relationship between horsepower, torque, and engine speed (RPM). In this case, torque (T) is calculated by taking the horsepower output (HP) and multiplying it by a constant (5252), then dividing by the engine speed in revolutions per minute (RPM).

This formula reflects the conversion between these units: horsepower is a measure of power, while torque is a measure of rotational force. The constant 5252 emerges from the mathematical relationships between these quantities, specifically when horsepower is expressed in foot-pounds per minute and torque in foot-pounds. When you derive the relationship under the appropriate conditions, this formula shows how torque can be calculated based on horsepower output and engine speed. This is critical for understanding engine performance, as it allows engineers and operators to assess how much twisting force the engine can produce at various speeds.

The other options presented do not align with the established formula for torque calculation or misapply the variables, leading to incorrect interpretations of the relationship between horsepower and torque.