1. What is the Power Formula?

The power formula P = T × ω calculates mechanical power from torque and angular speed. This fundamental equation in physics and engineering relates rotational motion to power output.

2. How Does the Calculator Work?

The calculator uses the power formula:

Where:

• \( P \) — Power (Watts)
• \( T \) — Torque (Newton-meters)
• \( \omega \) — Angular speed (radians per second)

Explanation: The formula shows that power is directly proportional to both torque and angular speed. Higher torque or higher speed results in greater power output.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors and engines, energy efficiency analysis, and performance evaluation in various engineering applications.

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 greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are the units used in this calculation?
A: The formula uses SI units: torque in Newton-meters (Nm), angular speed in radians per second (rad/s), and power in Watts (W).

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to rad/s. For example, 1000 RPM = 1000 × 0.10472 ≈ 104.72 rad/s.

Q3: Can this formula be used for electrical power?
A: No, this formula specifically calculates mechanical power from rotational motion. Electrical power uses different formulas (P = V × I for DC circuits).

Q4: What is a typical power range for common applications?
A: Power outputs vary widely: small motors (10-100W), automotive engines (50-500kW), industrial machinery (kW to MW range).

Q5: Are there limitations to this formula?
A: This formula assumes constant torque and speed. For variable conditions or systems with efficiency losses, additional factors need to be considered.