Horsepower Formula:
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Horsepower calculation from torque and speed is a fundamental formula in mechanical engineering that determines the power output of an engine or motor based on its rotational force (torque) and rotational speed (RPM).
The calculator uses the horsepower formula:
Where:
Explanation: The constant 5252 comes from the conversion between different units of measurement and represents the point where torque and horsepower curves intersect on a dyno chart.
Details: Accurate horsepower calculation is essential for engine performance analysis, vehicle design, industrial machinery specification, and comparing the power output of different engines and motors across various applications.
Tips: Enter torque in lb-ft units and rotational speed in RPM. Both values must be positive numbers. The calculator will instantly compute the horsepower output using the standard mechanical engineering formula.
Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from unit conversions: 1 horsepower = 550 foot-pounds per second, and there are 60 seconds in a minute, so 550 × 60 ÷ 2π ≈ 5252.
Q2: What is the relationship between torque and horsepower?
A: Torque represents rotational force, while horsepower represents work done over time. Horsepower = (Torque × RPM) ÷ 5252 shows how they relate mathematically.
Q3: Can I use this formula for electric motors?
A: Yes, this formula works for any rotating machinery including electric motors, internal combustion engines, and turbines, as long as torque is measured in lb-ft.
Q4: What are typical horsepower values for different engines?
A: Car engines: 100-700 HP, motorcycle engines: 10-200 HP, industrial motors: 1-5000+ HP, lawn mower engines: 3-25 HP.
Q5: How accurate is this calculation method?
A: This provides theoretical mechanical horsepower. Actual output may vary due to efficiency losses, transmission losses, and other mechanical factors in real-world applications.