1. What is a Power to Torque Calculator?

Definition: This calculator converts power (in watts) and angular velocity (in radians per second) into torque (in newton-meters).

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, rad/s)

Explanation: Torque is calculated by dividing the power by the angular velocity. This relationship shows that for a given power, torque decreases as rotational speed increases.

3. Importance of Power-Torque Calculation

Details: Understanding the relationship between power and torque is essential for designing and analyzing rotating machinery, engines, motors, and mechanical systems.

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 rad/s?
A: Multiply RPM by 0.10472 (since 1 RPM = 2π/60 ≈ 0.10472 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 (torque × angular velocity).

Q3: Why does torque decrease as speed increases for constant power?
A: This is inherent in the power-torque relationship. To maintain constant power output, the system must trade off between torque and speed.

Q4: Can I use this for electric motors?
A: Yes, this calculator works for any rotating system where you know the power and angular velocity.

Q5: What are typical torque values for small motors?
A: Small electric motors might produce 0.1-10 Nm, while automotive engines typically produce 100-500 Nm.