Convert Torque to HP Formula

Torque to Horsepower Formula:

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

Horsepower (HP):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Torque to HP Formula?

The torque to horsepower formula is a fundamental equation in mechanical engineering that converts rotational force (torque) into power (horsepower). This conversion is essential for understanding engine performance and comparing different power sources.

2. How Does the Calculator Work?

The calculator uses the standard torque to horsepower formula:

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

Where:

\( HP \) — Horsepower (output power)
\( Torque \) — Rotational force in pound-feet (lb-ft)
\( RPM \) — Rotational speed in revolutions per minute
\( 5252 \) — Conversion constant derived from the relationship between power, torque, and rotational speed

Explanation: The constant 5252 comes from the fact that one horsepower is defined as 550 foot-pounds per second, and there are 60 seconds in a minute (550 × 60 ÷ 2π ≈ 5252).

3. Importance of Torque to HP Conversion

Details: Understanding the relationship between torque and horsepower is crucial for automotive engineering, mechanical design, and performance analysis. Horsepower represents the rate at which work is done, while torque represents the rotational force available.

4. Using the Calculator

Tips: Enter torque in pound-feet (lb-ft) and RPM values. Both values must be positive numbers. The calculator will instantly compute the corresponding horsepower.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 derives from the definition of horsepower (550 ft-lb/sec) and the conversion between rotational speed and linear speed (2π radians per revolution).

Q2: What's the difference between torque and horsepower?
A: Torque is a measure of rotational force, while horsepower is a measure of power (work done over time). High torque provides acceleration, while high horsepower determines top speed.

Q3: Can I use this formula for electric motors?
A: Yes, the formula works for any rotating machinery including electric motors, internal combustion engines, and turbines.

Q4: What are typical torque and HP values for cars?
A: Typical passenger cars range from 100-300 lb-ft of torque and 100-300 HP. Performance vehicles can exceed these values significantly.

Q5: Why does HP equal torque at 5252 RPM?
A: Due to the mathematical relationship in the formula, horsepower and torque values are numerically equal when RPM equals 5252.