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Horsepower Calculation Formula

Horsepower Formula:

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

lb-ft
rev/min

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1. What is the Horsepower Formula?

The horsepower formula calculates the power output of an engine based on its torque and rotational speed (RPM). It's a fundamental equation in mechanical engineering and automotive applications.

2. How Does the Calculator Work?

The calculator uses the horsepower formula:

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

Where:

Explanation: The constant 5252 comes from the relationship between rotational speed and power, where 1 horsepower is defined as 550 foot-pounds per second.

3. Importance of Horsepower Calculation

Details: Horsepower is a critical measurement for evaluating engine performance, comparing vehicles, and determining power requirements for mechanical systems.

4. Using the Calculator

Tips: Enter torque in pound-feet (lb-ft) and RPM in revolutions per minute. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number in the formula?
A: It comes from the conversion between rotational speed and power: 1 HP = 550 ft-lb/sec and there are 60 seconds in a minute, so 550 × 60 / (2π) ≈ 5252.

Q2: At what RPM does horsepower equal torque?
A: At 5252 RPM, horsepower and torque values will be equal numerically due to the formula's structure.

Q3: What's the difference between brake horsepower and wheel horsepower?
A: Brake horsepower (BHP) is measured at the engine's crankshaft, while wheel horsepower (WHP) is measured at the wheels after drivetrain losses.

Q4: Can this formula be used for electric motors?
A: Yes, the same formula applies to electric motors, though torque characteristics differ from combustion engines.

Q5: How does altitude affect horsepower?
A: At higher altitudes, air density decreases, reducing power output in naturally aspirated engines (about 3% per 1000 feet elevation).

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