1. What is the Power vs Torque Equation?

The power vs torque equation (P = T × ω) describes the relationship between power, torque, and angular velocity in rotational systems. It shows how mechanical power is generated through rotational motion.

2. How Does the Calculator Work?

The calculator uses the fundamental equation:

Where:

• \( P \) — Power in watts (W)
• \( T \) — Torque in newton-meters (Nm)
• \( \omega \) — Angular velocity in radians per second (rad/s)

Explanation: This equation demonstrates that power is the product of torque and angular velocity. You can calculate any one variable if you know the other two.

3. Importance of Power and Torque Calculation

Details: Understanding the relationship between power and torque is essential for mechanical engineering, automotive design, electric motor selection, and various industrial applications where rotational power transmission is involved.

4. Using the Calculator

Tips: Enter any two known values (power, torque, or angular velocity) and the calculator will compute the missing third value. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: 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 both torque and rotational speed.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. For example: 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

Q3: Can I use different units with this calculator?
A: This calculator uses standard SI units (W, Nm, rad/s). Convert other units to these before calculation.

Q4: What are typical torque values for electric motors?
A: Small motors might have 0.1-1 Nm, while industrial motors can have 100+ Nm, depending on power and speed.

Q5: How does gear reduction affect power and torque?
A: Gear reduction increases torque while decreasing speed, keeping power approximately constant (minus efficiency losses).