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Calculate Torque From HP And RPM Formula

Torque Formula:

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

HP
rev/min

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1. What is the Torque Formula?

The torque formula calculates torque from horsepower and RPM using the equation T = (HP × 5252) / RPM. This formula is derived from the fundamental relationship between power, torque, and rotational speed in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The constant 5252 comes from the conversion between horsepower, foot-pounds, and minutes. One horsepower is defined as 550 foot-pounds per second, and there are 60 seconds in a minute, so 550 × 60 ÷ 2π ≈ 5252.

3. Importance of Torque Calculation

Details: Torque calculation is essential for understanding engine performance, mechanical advantage, and power transmission in various mechanical systems including automotive engines, industrial machinery, and rotational equipment.

4. Using the Calculator

Tips: Enter horsepower 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 horsepower (550 ft-lb/sec) and rotational speed (RPM), accounting for the relationship between linear and rotational work.

Q2: What are typical torque values for different engines?
A: Torque values vary significantly by engine type. Small car engines might produce 100-200 lb-ft, while large diesel engines can produce over 1000 lb-ft of torque.

Q3: How does torque relate to vehicle performance?
A: Torque determines a vehicle's acceleration and pulling power. Higher torque at lower RPM generally provides better low-end acceleration and towing capability.

Q4: Can this formula be used for electric motors?
A: Yes, the formula works for any rotational power system, including electric motors, though the torque characteristics may differ from combustion engines.

Q5: 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). Horsepower = (Torque × RPM) / 5252.

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