How is horsepower (Hp) calculated using torque and RPM?

The calculation of horsepower using torque and RPM is based on a specific formula derived from the relationship between these two variables. The correct formula, Hp = (Torque x RPM) / 5252, establishes a direct link between the rotational force (torque) and the rotational speed (RPM).

In this equation, torque is measured in pound-feet (lb-ft) and RPM is the engine speed in revolutions per minute. The number 5252 is a constant that comes from the conversion of units: specifically, it is the result of the mathematical relationship between horsepower, torque, and RPM when considering the units involved (with horsepower being defined in terms of foot-pounds per minute).

As torque increases or RPM increases, horsepower output increases, which is why this calculation is essential in contexts like automotive engineering and performance analysis. This formula allows for easy calculation to determine how much power an engine is producing based on its torque and speed, making it crucial for understanding engine performance characteristics.

Other options do not reflect the correct formula: the first option uses an incorrect constant leading to a miscalculation, the third option incorrectly combines torque and RPM additively rather than multiplicatively, and the fourth option incorrectly rearranges the formula in a way that misap