1. What is the Torque to Power Formula?

The torque to power formula calculates mechanical power from torque and angular velocity. It's a fundamental equation in mechanical engineering that describes the relationship between rotational force and power output.

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 velocity in radians per second (rad/s)

Explanation: The formula shows that power is directly proportional to both torque and angular velocity. Higher torque or faster rotation 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, evaluating performance, and ensuring efficient energy transfer in rotational systems.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is a 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 2π/60 (approximately 0.10472) to convert to rad/s. Formula: ω (rad/s) = RPM × 2π/60

Q3: What are typical torque values for common applications?
A: Torque values vary widely - from small electric motors (0.1-10 Nm) to large industrial engines (1000+ Nm).

Q4: Can this formula be used for electrical systems?
A: While derived for mechanical systems, the concept applies to electrical motors where mechanical power output is calculated from torque and speed.

Q5: What if I have power and need to find torque?
A: Rearrange the formula: T = P / ω. You can calculate torque if you know power and angular velocity.