1. What is the Torque Formula?

The torque formula T = (P × 9550) / N calculates torque from power and rotational speed. This equation is commonly used in mechanical engineering to determine the twisting force produced by rotating machinery.

2. How Does the Calculator Work?

The calculator uses the torque formula:

Where:

• \( T \) — Torque (Nm)
• \( P \) — Power (kW)
• \( N \) — Rotational speed (rpm)

Explanation: The constant 9550 is derived from unit conversions between kW, rpm, and Nm, making the formula dimensionally consistent.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and gearboxes, 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.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversions: 1 kW = 1000 Nm/s, and 1 rpm = 1/60 rev/s. The complete conversion factor is 60/(2π) × 1000 ≈ 9550.

Q2: What are typical torque values for different applications?
A: Torque values vary widely depending on application. Small electric motors might produce 1-10 Nm, while industrial machinery can produce thousands of Nm.

Q3: Can this formula be used for different power units?
A: The formula is specifically designed for power in kW. For horsepower (hp), a different constant (5252) is typically used.

Q4: How does torque relate to mechanical power?
A: Power is the rate of doing work, while torque is the rotational force. The relationship is Power = Torque × Angular Velocity.

Q5: What factors affect torque output in real applications?
A: Efficiency losses, gear ratios, mechanical friction, and operating conditions can all affect the actual torque output of a system.