1. What is Power to Torque Conversion?

Definition: This calculator converts mechanical power (in Watts) to torque (in Newton-meters) using angular velocity.

Purpose: It helps engineers and technicians determine the torque produced by a rotating system given its power output and rotational speed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: Torque is calculated by dividing power by angular velocity. This relationship is fundamental in rotational mechanics.

3. Importance of Power-Torque Conversion

Details: Understanding this relationship is crucial for designing motors, gear systems, and any rotating machinery where power transmission is involved.

4. Using the Calculator

Tips: Enter the power in Watts 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 radians per second?
A: Multiply RPM by 2π/60 (approximately 0.10472). For example, 1000 RPM = 1000 × 0.10472 ≈ 104.72 rad/s.

Q2: What's the difference between power and torque?
A: Torque is a rotational force, while power is the rate at which work is done. Power combines torque and rotational speed.

Q3: Can I use this for electric motors?
A: Yes, this applies to any rotating system including electric motors, engines, and turbines.

Q4: What if my power is in horsepower (HP)?
A: First convert HP to Watts (1 HP ≈ 745.7 W) before using this calculator.

Q5: Why is angular velocity in radians?
A: Radians are the natural unit for angular measurement in physics calculations, making the units consistent in the formula.