Horsepower Formula:
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Horsepower is a unit of measurement for power, commonly used to quantify the output of engines and motors. The formula HP = (T × RPM) / 5252 calculates horsepower from torque and rotational speed, where 5252 is a constant derived from the relationship between these units of measurement.
The calculator uses the horsepower formula:
Where:
Explanation: This formula demonstrates the direct relationship between torque and horsepower at a given rotational speed. The constant 5252 comes from the conversion between different units of measurement in the English system.
Details: Calculating horsepower from torque is essential for evaluating engine performance, comparing different engines, and understanding the power characteristics of motors and mechanical systems.
Tips: Enter torque in lb-ft and RPM values. Both values must be positive numbers. The calculator will compute the corresponding horsepower.
Q1: Why is the constant 5252 used in this formula?
A: The number 5252 comes from the conversion between different units of measurement. It's derived from the relationship where 1 horsepower equals 550 foot-pounds per second, and there are 2π radians in a revolution.
Q2: What's the difference between torque and horsepower?
A: Torque is a measure of rotational force, while horsepower is a measure of power (work done over time). Horsepower takes into account both the force (torque) and the speed at which it's applied (RPM).
Q3: At what RPM does torque equal horsepower?
A: According to the formula, torque and horsepower are numerically equal at 5252 RPM. This is why dynamometer charts often show the two curves crossing at this point.
Q4: Can this formula be used for electric motors?
A: Yes, the formula applies to any rotating machinery, including electric motors, as long as you have the torque measurement in lb-ft and the rotational speed in RPM.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the inputs. However, real-world engine performance may vary due to factors like efficiency losses, temperature, and altitude.