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Motor Output Power Formula:
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The Motor Output Power Formula calculates the mechanical power output of a motor using torque and angular velocity. This fundamental equation in mechanical engineering describes the relationship between rotational motion and power output.
The calculator uses the motor output power formula:
Where:
Explanation: The formula shows that mechanical power is the product of torque and angular velocity, representing the rate at which work is done in rotational systems.
Details: Calculating motor output power is essential for motor selection, system design, efficiency analysis, and ensuring proper sizing of mechanical components in various applications from industrial machinery to automotive systems.
Tips: Enter torque in Newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the difference between input power 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. The ratio is motor efficiency.
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 × (2π/60) ≈ 104.72 rad/s.
Q3: What are typical torque values for electric motors?
A: Torque values vary widely from fractional Nm for small motors to thousands of Nm for large industrial motors, depending on application and motor size.
Q4: Can this formula be used for all types of motors?
A: Yes, this fundamental relationship applies to all rotating machinery including AC/DC motors, servo motors, and hydraulic motors.
Q5: How does power relate to motor speed and torque?
A: For constant power applications, torque decreases as speed increases, and vice versa, following the inverse relationship in the power equation.