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Motor Output Power Formula

Motor Output Power Formula:

\[ P_{out} = T \times \omega \]

N·m
rad/s

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1. What Is Motor Output Power?

Motor output power represents the mechanical power delivered at the shaft of an electric motor. It quantifies the rate at which work is done or energy is transferred by the motor to its load.

2. How Does The Calculator Work?

The calculator uses the motor output power formula:

\[ P_{out} = T \times \omega \]

Where:

Explanation: This formula calculates the mechanical power generated by a motor based on the rotational force (torque) and the speed of rotation (angular velocity).

3. Importance Of Power Calculation

Details: Accurate motor power calculation is essential for proper motor selection, system design, efficiency analysis, and ensuring the motor can handle the required mechanical load without overheating or damage.

4. Using The Calculator

Tips: Enter torque in Newton-meters and angular velocity in radians per second. Both values must be positive numbers. The calculator will compute the mechanical power output in Watts.

5. Frequently Asked Questions (FAQ)

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 at the shaft. The difference represents losses due to efficiency.

Q2: How Do I Convert RPM To Rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get angular velocity in rad/s. For example: 1000 RPM = 1000 × \( \frac{2\pi}{60} \) ≈ 104.72 rad/s.

Q3: What Are Typical Motor Power Ranges?
A: Motor power ranges from fractional horsepower (under 1 kW) for small applications to megawatts for industrial machinery and electric vehicles.

Q4: How Does Efficiency Affect Power Calculation?
A: Motor efficiency (η) relates input and output power: \( P_{out} = η \times P_{in} \). Typical efficiencies range from 70% to 95% depending on motor type and size.

Q5: Can This Formula Be Used For All Motor Types?
A: Yes, this fundamental mechanical power formula applies to all rotating machinery including AC motors, DC motors, and internal combustion engines.

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