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What Is the Equation for 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 power output based on torque and rotational speed.

Purpose: It helps engineers and mechanics evaluate engine or motor performance.

2. How Does the Equation Work?

The equation is:

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

Where:

Explanation: The product of torque and RPM is divided by 5252 (which equals 33,000 ft-lb/min divided by 2π radians/revolution).

3. Importance of Horsepower Calculation

Details: Horsepower quantifies an engine's ability to do work over time, crucial for vehicle performance and industrial applications.

4. Using the Calculator

Tips: Enter torque in pound-feet and rotational speed in RPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number?
A: It's the conversion factor between foot-pounds per minute and horsepower (33,000 ft-lb/min = 1 HP).

Q2: At what RPM does HP equal torque?
A: At 5252 RPM, horsepower and torque values are always equal numerically.

Q3: What's a typical torque value for cars?
A: Passenger cars typically produce 100-400 lb-ft, while trucks may exceed 1,000 lb-ft.

Q4: How does this relate to electrical horsepower?
A: 1 mechanical HP = 746 watts; electrical motors use similar principles but different measurement methods.

Q5: Can I use this for electric motors?
A: Yes, but you'll need the motor's torque curve as electric motors produce maximum torque at 0 RPM.

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