HP = (T × RPM) / 5252
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The HP (Horsepower) and TQ (Torque) calculation is a fundamental formula in mechanical engineering that relates torque, rotational speed (RPM), and horsepower. It provides a mathematical relationship to calculate horsepower when torque and RPM values are known.
The calculator uses the formula:
Where:
Explanation: The constant 5252 comes from the relationship between rotational power and linear power, where 1 horsepower is defined as 550 foot-pounds per second, and there are 2π radians per revolution.
Details: Accurate horsepower calculation is crucial for engine performance analysis, vehicle dynamics, mechanical system design, and comparing the power output of different engines and motors.
Tips: Enter torque in lb-ft and RPM values. Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from the conversion between different units of measurement. Since 1 horsepower equals 550 foot-pounds per second and there are 2π radians per revolution, the constant becomes (550 × 60) ÷ (2π) ≈ 5252.
Q2: What's the relationship between HP and TQ?
A: Horsepower is a function of torque and RPM. While torque measures rotational force, horsepower measures the rate at which work is done. Higher RPM with the same torque produces more horsepower.
Q3: Can this formula be used for electric motors?
A: Yes, the formula works for any rotating machinery including electric motors, internal combustion engines, and turbines, as long as torque and RPM values are known.
Q4: What are typical torque values for different engines?
A: Torque values vary significantly by engine type and size. Small car engines might produce 100-200 lb-ft, while large diesel engines can produce over 1000 lb-ft of torque.
Q5: How does gear ratio affect HP and TQ calculations?
A: Gear ratios change the relationship between engine RPM and wheel torque, but the fundamental horsepower calculation remains the same since horsepower accounts for both torque and rotational speed.