1. What is the Torque Power Speed Equation?

The torque power speed equation calculates mechanical power from torque and angular speed. It is a fundamental relationship in rotational mechanics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the power equation:

Where:

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

Explanation: This equation describes the relationship between rotational force (torque), rotational speed, and the resulting mechanical power output.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, selecting motors, analyzing engine performance, and optimizing energy efficiency in rotational applications.

4. Using the Calculator

Tips: Enter torque in Newton-meters and angular speed in radians per second. Both values must be positive numbers greater than zero.

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 speed to measure energy output over time.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get rad/s. For example, 1000 RPM = 1000 × \( \frac{2\pi}{60} \) ≈ 104.72 rad/s.

Q3: Can this calculator be used for electric motors?
A: Yes, this equation applies to all rotational systems including electric motors, engines, turbines, and mechanical drives.

Q4: What are typical torque values for common applications?
A: Small electric motors: 0.1-10 Nm, automotive engines: 100-500 Nm, industrial motors: 10-1000+ Nm depending on size.

Q5: Why is angular speed measured in rad/s?
A: Radians per second is the SI unit for angular velocity and provides consistency in calculations involving rotational motion and power.