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Calculate Torque From Rpm And Power

Torque Formula:

\[ T = \frac{P \times 9550}{N} \]

kW
rpm

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1. What is the Torque Formula?

The torque formula \( T = \frac{P \times 9550}{N} \) calculates torque from power and rotational speed. This equation is commonly used in mechanical engineering to determine the rotational force produced by engines, motors, and other rotating machinery.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ T = \frac{P \times 9550}{N} \]

Where:

Explanation: The constant 9550 comes from the conversion between different units of power and rotational speed, ensuring the result is in Newton-meters.

3. Importance of Torque Calculation

Details: Torque calculation is essential for designing mechanical systems, selecting appropriate motors and engines, and understanding the performance characteristics of rotating machinery in various applications.

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 for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversions: 60,000/(2π) ≈ 9550, which converts between kW, rpm, and Nm.

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) or use a different constant in the formula.

Q3: What are typical torque values for different applications?
A: Torque values vary widely: small electric motors might produce 1-10 Nm, car engines typically produce 200-500 Nm, while industrial machinery can produce thousands of Nm.

Q4: How does torque relate to power in mechanical systems?
A: Power is the rate of doing work, while torque is the rotational force. Power = Torque × Angular Velocity, which is the fundamental relationship between these quantities.

Q5: Are there limitations to this formula?
A: This formula provides theoretical torque and assumes 100% efficiency. Real-world applications may have efficiency losses due to friction, heat, and other factors.

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