1. What is the Torque to Power Equation?

The torque to power equation relates rotational force (torque) and speed (angular velocity) to mechanical power output. It's fundamental in mechanical engineering and physics for analyzing rotating systems.

2. How Does the Calculator Work?

The calculator uses the power equation:

Where:

• \( P \) — Power in watts (W)
• \( \tau \) — Torque in newton-meters (Nm)
• \( \omega \) — Angular velocity in radians per second (rad/s)

Explanation: The equation shows that power is the product of torque and angular velocity. Higher torque or faster rotation results in greater power output.

3. Importance of Power Calculation

Details: Calculating power from torque and rotational speed is essential for designing motors, engines, transmissions, and other rotating machinery. It helps determine system efficiency and performance.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60. For example, 1000 RPM = 1000 × (2π/60) ≈ 104.72 rad/s.

Q2: What are typical torque values for electric motors?
A: Small motors might produce 0.1-1 Nm, while industrial motors can produce hundreds of Nm.

Q3: Why use watts instead of horsepower?
A: Watts are the SI unit of power. 1 horsepower ≈ 745.7 watts.

Q4: Can this be used for linear motion?
A: No, this is specifically for rotational systems. For linear motion, use P = F × v (force × velocity).

Q5: What if I only know power and need torque?
A: Rearrange the equation: τ = P/ω. You can calculate torque if you know power and angular velocity.