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Torque Formula:
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The torque formula calculates rotational force from power and rotational speed. It's essential in mechanical engineering for designing and analyzing rotating systems like engines, motors, and gearboxes.
The calculator uses the torque formula:
Where:
Explanation: The constant 9550 is derived from unit conversions between kW, rpm, and Nm. It represents the conversion factor needed to relate these units in the torque calculation.
Details: Accurate torque calculation is crucial for designing mechanical systems, selecting appropriate motors and engines, determining gear ratios, and ensuring system reliability and efficiency.
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, and there are 60 seconds in a minute. The formula derivation is: T = (P × 60 × 1000) / (2π × N) ≈ (P × 9550) / N.
Q2: Can I use different units with this formula?
A: This specific formula is designed for kW and rpm inputs producing Nm output. For other units, different conversion factors would be needed.
Q3: What is a typical torque range for electric motors?
A: Torque varies significantly by motor size and type. Small motors might produce less than 1 Nm, while large industrial motors can produce thousands of Nm.
Q4: How does torque relate to horsepower?
A: Horsepower (hp) is another power unit where 1 hp ≈ 0.7457 kW. To calculate torque from horsepower, first convert hp to kW, then use the formula.
Q5: Does this formula work for all types of rotating systems?
A: This formula provides theoretical torque based on power and speed. Actual torque may vary due to efficiency losses, friction, and other mechanical factors.