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Power Of Motor Formula:
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The Power Of Motor Formula calculates mechanical power output from torque and angular speed. This fundamental equation in mechanical engineering relates rotational motion to power output, essential for motor selection and performance analysis.
The calculator uses the mechanical power formula:
Where:
Explanation: The formula demonstrates that mechanical power is the product of torque and angular velocity, representing the rate at which work is done in rotational systems.
Details: Accurate power calculation is crucial for motor sizing, efficiency analysis, energy consumption estimation, and ensuring mechanical systems operate within safe operating parameters.
Tips: Enter torque in Newton-meters and angular speed in radians per second. Both values must be positive numbers. For RPM conversion, remember that 1 RPM = π/30 rad/s.
Q1: What is the difference between mechanical power and electrical power?
A: Mechanical power refers to the actual work output of a motor, while electrical power is the input power consumed. The ratio between them determines motor efficiency.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get angular speed in rad/s. For example, 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.
Q3: What are typical torque values for electric motors?
A: Torque values vary widely by motor size and type. Small motors may have 0.1-1 N·m, while industrial motors can have hundreds or thousands of N·m.
Q4: Why is power measured in Watts?
A: The Watt is the SI unit of power, defined as one Joule per second, providing a standardized measurement for energy transfer rate.
Q5: Can this formula be used for all types of motors?
A: Yes, this fundamental relationship applies to all rotating machinery including AC/DC motors, engines, and turbines, though efficiency factors must be considered for practical applications.