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What Is the Equation to Find Horsepower

Horsepower Formula:

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

lb-ft
rev/min

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1. What is the Horsepower Equation?

Definition: This equation calculates mechanical horsepower based on torque and rotational speed (RPM).

Purpose: It helps engineers, mechanics, and automotive enthusiasts determine engine power output.

2. How Does the Equation Work?

The equation uses the formula:

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

Where:

Explanation: Horsepower is directly proportional to both torque and RPM, with 5252 being the RPM where torque and horsepower values cross on dyno charts.

3. Importance of Horsepower Calculation

Details: Horsepower measurement is crucial for engine performance evaluation, vehicle design, and mechanical system analysis.

4. Using the Calculator

Tips: Enter torque in pound-feet and engine speed in RPM. Both values must be > 0 for calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number in the equation?
A: It comes from the conversion between rotational speed and power (1 horsepower = 550 ft-lb/sec, and there are 2π radians in one revolution).

Q2: What's a typical torque value for cars?
A: Passenger cars typically range from 100-300 lb-ft, while performance vehicles can exceed 500 lb-ft.

Q3: Does this work for electric motors?
A: Yes, the equation applies to any rotational power source, including electric motors.

Q4: How accurate is this calculation?
A: It provides theoretical mechanical horsepower. Actual output may vary due to efficiency losses.

Q5: What if I have metric units?
A: Convert Nm to lb-ft (1 Nm = 0.7376 lb-ft) before using this calculator.

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