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Power Formula:
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The formula kW = T × RPM / 9549 converts torque (in Newton-meters) and rotational speed (in revolutions per minute) to power (in kilowatts). This is a standard conversion used in mechanical engineering to calculate power output from rotational systems.
The calculator uses the power conversion formula:
Where:
Explanation: The constant 9549 comes from the conversion factors between different units of measurement (watts, Newton-meters, and revolutions per minute).
Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors and engines, evaluating performance, and ensuring efficiency in various applications from automotive to industrial machinery.
Tips: Enter torque in Newton-meters (Nm) and rotational speed in RPM. Both values must be positive numbers. The calculator will compute the power output in kilowatts (kW).
Q1: Why is the constant 9549 used in the formula?
A: The constant 9549 comes from the conversion between different units: 1 kW = 1000 W, 1 minute = 60 seconds, and 2π radians per revolution.
Q2: Can this formula be used for any rotational system?
A: Yes, this formula is universally applicable for calculating mechanical power from torque and rotational speed in any system.
Q3: What's the difference between kW and horsepower?
A: Kilowatts and horsepower are both units of power. 1 kW is approximately equal to 1.341 horsepower. The formula can be adapted for horsepower by using a different constant.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. However, real-world efficiency losses may affect actual power output.
Q5: Can I use this for electric motors?
A: Yes, this formula works for any rotational power system including electric motors, internal combustion engines, and turbines.