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How To Calculate Horsepower From Torque

Horsepower Formula:

\[ HP = \frac{T \times RPM}{5252} \]

lb-ft
rpm

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1. What is the Horsepower Formula?

The horsepower formula calculates power output from torque and rotational speed. It's a fundamental equation in mechanical engineering used to determine the power output of engines and motors.

2. How Does the Calculator Work?

The calculator uses the horsepower formula:

\[ HP = \frac{T \times RPM}{5252} \]

Where:

Explanation: The formula shows the direct relationship between torque, rotational speed, and power output. The constant 5252 comes from the conversion between different units of measurement.

3. Importance of Horsepower Calculation

Details: Accurate horsepower calculation is crucial for engine performance evaluation, vehicle design, industrial machinery specification, and power transmission system design.

4. Using the Calculator

Tips: Enter torque in pound-feet (lb-ft) and RPM values. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from the conversion between different units of measurement (1 horsepower = 550 foot-pounds per second, and there are 60 seconds in a minute, and 2π radians in a revolution).

Q2: What are typical horsepower values for different engines?
A: Typical values range from under 100 hp for small engines to over 500 hp for high-performance automotive engines, and thousands of hp for industrial and marine engines.

Q3: Can this formula be used for electric motors?
A: Yes, the formula applies to both internal combustion engines and electric motors, as it calculates mechanical power output from torque and rotational speed.

Q4: What's the difference between horsepower and torque?
A: Torque is a measure of rotational force, while horsepower is a measure of power (work done over time). Horsepower combines both torque and rotational speed.

Q5: How does RPM affect horsepower output?
A: Horsepower increases with RPM when torque remains constant. However, most engines have a torque curve where torque varies with RPM, creating a power band where horsepower peaks at certain RPM ranges.

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