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Torque Formula:
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The torque formula T = (P × 9550) / N calculates torque from power and rotational speed. It is commonly used in mechanical engineering to determine the twisting force produced by rotating machinery.
The calculator uses the torque formula:
Where:
Explanation: The constant 9550 is derived from unit conversions to maintain consistency between power (kilowatts), rotational speed (revolutions per minute), and torque (Newton-meters).
Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and gearboxes, and ensuring proper operation of rotating equipment.
Tips: Enter power in kilowatts (kW) and rotational speed in revolutions per minute (rpm). Both values must be positive numbers greater than zero.
Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversions: 1 kW = 1000 N·m/s, 1 minute = 60 seconds, and 2π radians per revolution. The exact derivation is 60/(2π) × 1000 ≈ 9549.3, which is rounded to 9550 for practical calculations.
Q2: Can this formula be used for different power units?
A: This specific formula is designed for power in kilowatts. For horsepower, a different constant would be needed in the calculation.
Q3: What is a typical torque range for industrial motors?
A: Torque values vary widely depending on motor size and application, ranging from less than 1 Nm for small motors to thousands of Nm for large industrial motors.
Q4: How does torque relate to mechanical power?
A: Torque and rotational speed together determine mechanical power output. Power is the product of torque and angular velocity (with appropriate unit conversions).
Q5: Are there limitations to this formula?
A: This formula assumes constant torque and speed conditions. For variable loads or acceleration calculations, more complex formulas accounting for inertia and acceleration are needed.