Home Back

Calculating Torque From Power

Torque Formula:

\[ T = \frac{P}{\omega} \]

W
rad/s

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Torque?

Torque is a measure of the rotational force applied to an object. It represents the tendency of a force to rotate an object about an axis, fulcrum, or pivot. In mechanical systems, torque is crucial for understanding rotational motion and power transmission.

2. How Does the Calculator Work?

The calculator uses the fundamental torque formula:

\[ T = \frac{P}{\omega} \]

Where:

Explanation: This formula derives from the relationship between power, torque, and angular velocity in rotational systems. It shows that torque is directly proportional to power and inversely proportional to angular speed.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and gearboxes, ensuring proper power transmission, and preventing mechanical failures in rotating machinery.

4. Using the Calculator

Tips: Enter power in watts and angular speed in radians per second. Both values must be positive numbers greater than zero. The calculator will compute the torque in Newton-meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power equals torque multiplied by angular speed.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get rad/s. For example, 1000 RPM = 1000 × (2π/60) ≈ 104.72 rad/s.

Q3: What are typical torque values for common applications?
A: Small electric motors: 0.1-10 Nm, automotive engines: 100-500 Nm, industrial machinery: 1000-10,000+ Nm depending on size.

Q4: Can this formula be used for all rotational systems?
A: Yes, this fundamental relationship applies to all rotational mechanical systems where power and angular speed are known.

Q5: What if I have horsepower instead of watts?
A: Convert horsepower to watts by multiplying by 745.7 (1 hp = 745.7 W) before using the calculator.

Calculating Torque From Power© - All Rights Reserved 2025