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Output Power Formula:
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The Output Power Formula calculates the mechanical power output of a motor based on torque and angular velocity. This fundamental equation is essential for motor selection, performance analysis, and system design in mechanical and electrical engineering applications.
The calculator uses the output power formula:
Where:
Explanation: The formula represents the rate at which work is done by a rotating system. Torque represents the rotational force, while angular velocity represents the rotational speed.
Details: Accurate power calculation is crucial for motor sizing, efficiency analysis, system optimization, and ensuring proper operation within design specifications. It helps prevent motor overload and ensures reliable performance.
Tips: Enter torque in Newton-meters (Nm) and angular velocity in radians per second (rad/s). Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the difference between input and output power?
A: Input power is the electrical power supplied to the motor, while output power is the mechanical power delivered by the motor shaft. Output power is always less than input power due to losses.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get rad/s. For example, 1000 RPM = 1000 × \( \frac{2\pi}{60} \) ≈ 104.72 rad/s.
Q3: What are typical torque values for motors?
A: Torque values vary widely by motor size and type. Small motors may produce 0.1-1 Nm, while industrial motors can produce hundreds or thousands of Nm.
Q4: Can this formula be used for all types of motors?
A: Yes, this fundamental relationship applies to all rotating machinery including AC motors, DC motors, stepper motors, and hydraulic motors.
Q5: How does efficiency affect power calculations?
A: Efficiency = (Output Power / Input Power) × 100%. To find input power, divide output power by efficiency (as a decimal).