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The motor power calculation formula P = (T × N) / 9550 calculates mechanical power output from torque and rotational speed. This is essential for determining the power requirements and performance characteristics of electric motors and mechanical systems.
The calculator uses the power formula:
Where:
Explanation: The formula converts the product of torque and rotational speed into kilowatts, accounting for the appropriate unit conversions between Newton-meters, revolutions per minute, and kilowatts.
Details: Accurate power calculation is crucial for motor selection, system design, energy efficiency analysis, and ensuring proper matching between motors and their driven loads in various industrial applications.
Tips: Enter torque in Newton-meters (Nm) and rotational speed in revolutions per minute (rpm). Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why is the constant 9550 used in the formula?
A: The constant 9550 comes from unit conversion factors: 1 kW = 1000 W, 1 minute = 60 seconds, and 2π radians per revolution. It's derived from 60,000/(2π) ≈ 9550.
Q2: Can this formula be used for any type of motor?
A: Yes, this formula applies to all rotating machinery including AC/DC motors, engines, and any device that produces rotational torque at a specific speed.
Q3: What are typical torque values for electric motors?
A: Torque values vary significantly by motor size and type. Small motors may produce 0.1-10 Nm, while large industrial motors can produce thousands of Nm.
Q4: How does power relate to energy consumption?
A: Power represents the rate of energy transfer. Energy consumption (kWh) is power multiplied by operating time, so higher power motors consume more energy when running.
Q5: What if I need power in horsepower instead of kilowatts?
A: To convert from kW to horsepower, multiply by approximately 1.341. The formula in horsepower would be P (hp) = (T × N) / 7124.