1. What is the Power-Torque Equation?

The power-torque equation (P = T × ω) calculates the mechanical power output of an electric motor based on its torque and angular speed. This fundamental relationship is essential for motor selection and performance analysis in various applications.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

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

Explanation: This equation demonstrates that power output increases proportionally with both torque and rotational speed.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for proper motor sizing, efficiency analysis, energy consumption estimation, and ensuring the motor meets the requirements of the intended application.

4. Using the Calculator

Tips: Enter torque in newton-meters (Nm) and angular speed in radians per second (rad/s). Both values must be positive numbers. For RPM to rad/s conversion, multiply RPM by π/30.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between mechanical and electrical power in motors?
A: Mechanical power (calculated here) is the output power, while electrical power is the input power. The ratio between them determines motor efficiency.

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

Q3: What are typical torque values for electric motors?
A: Torque values vary significantly by motor type and size, ranging from fractional Nm for small motors to hundreds of Nm for industrial applications.

Q4: Does this formula work for all motor types?
A: Yes, the relationship P = T × ω is fundamental and applies to all rotating machinery, including AC, DC, and servo motors.

Q5: How does power relate to motor efficiency?
A: Efficiency is the ratio of mechanical output power to electrical input power. Higher efficiency means less energy wasted as heat.