Torque From Power Calculator

Torque Formula:

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

Torque (T):

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1. What is Torque From Power?

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

2. How Does the Calculator Work?

The calculator uses the torque formula:

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

Where:

\( T \) — Torque (Newton-meters, Nm)
\( P \) — Power (Watts, W)
\( \omega \) — Angular velocity (radians per second, rad/s)

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

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and engines, analyzing rotational performance, and ensuring system efficiency and safety.

4. Using the Calculator

Tips: Enter power in watts, angular velocity in radians per second. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is a measure of rotational force, while power is the rate at which work is done. Power combines both torque and rotational 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 different applications?
A: Small electric motors: 0.1-10 Nm, automotive engines: 100-500 Nm, industrial machinery: 1000-10,000+ Nm depending on size.

Q4: Why is angular velocity measured in rad/s?
A: Radians per second is the SI unit for angular velocity and provides consistency in calculations involving rotational motion and power.

Q5: Can this formula be used for all rotational systems?
A: This formula applies to ideal rotational systems. Real-world applications may require considering efficiency losses, friction, and other mechanical factors.