1. What is the Torque Formula?

The torque formula calculates rotational force from power and rotational speed. It's essential in mechanical engineering for designing and analyzing rotating machinery, engines, and motors.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( \tau \) — Torque (N·m)
• \( P \) — Power (kW)
• \( n \) — Rotational speed (rpm)
• \( \pi \) — Mathematical constant pi (≈3.1416)

Explanation: The formula converts power in kilowatts to torque in Newton-meters, accounting for the conversion between rotational speed (rpm) and angular velocity (radians per second).

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for designing mechanical systems, selecting appropriate motors and engines, and ensuring proper operation of rotating equipment.

4. Using the Calculator

Tips: Enter power in kilowatts (kW) and rotational speed in revolutions per minute (rpm). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units does this calculator use?
A: This calculator uses metric units: power in kilowatts (kW), rotational speed in rpm, and outputs torque in Newton-meters (N·m).

Q2: Can I use horsepower instead of kilowatts?
A: Yes, but you'll need to convert horsepower to kilowatts first (1 hp = 0.7457 kW) before using this calculator.

Q3: What is a typical torque range for electric motors?
A: Torque varies greatly by motor size and type, but small motors might produce 1-10 N·m, while industrial motors can produce hundreds or thousands of N·m.

Q4: Why is pi (π) in the formula?
A: Pi is used to convert between rotational speed (rpm) and angular velocity (radians per second), which is necessary for the torque calculation.

Q5: How does torque relate to power in vehicles?
A: In vehicles, torque determines acceleration and pulling power, while power (horsepower or kW) determines top speed. Both are important performance metrics.