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Torque Calculator From Power

Torque Formula:

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

W
rad/s

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1. What is Torque From Power?

Torque from power calculation determines the rotational force (torque) produced by a system based on its power output and angular velocity. This relationship is fundamental in mechanical engineering, automotive design, and electrical motor applications.

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

Explanation: The formula shows that torque is directly proportional to power and inversely proportional to angular velocity. Higher power or lower rotational speed results in greater torque output.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors, determining gear ratios, and ensuring system efficiency and safety in various engineering applications.

4. Using the Calculator

Tips: Enter power in watts and angular velocity in radians per second. Both values must be positive numbers. For RPM conversion, remember that 1 RPM = π/30 rad/s.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is rotational force, while power is the rate at which work is done. Power = Torque × Angular Velocity.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. Example: 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

Q3: Can I use horsepower instead of watts?
A: Yes, but convert horsepower to watts first (1 HP = 745.7 W) for accurate calculations.

Q4: What are typical torque values for different applications?
A: Car engines: 100-500 Nm, Electric motors: 1-100 Nm, Industrial machinery: varies widely based on application requirements.

Q5: Why is torque important in mechanical design?
A: Torque determines the twisting force available for moving loads, affects acceleration capabilities, and influences component sizing and material selection.

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