Motor Output Power Calculator

Motor Output Power Formula:

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

Motor Output Power (P_out):

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1. What is Motor Output Power?

Motor output power represents the mechanical power delivered by the motor shaft, calculated as the product of torque and angular speed. It indicates the actual work capacity of the motor.

2. How Does the Calculator Work?

The calculator uses the motor output power formula:

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

Where:

\( P_{out} \) — Motor output power (watts, W)
\( \tau \) — Torque (newton-meter, N·m)
\( \omega \) — Angular speed (radians per second, rad/s)

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

3. Importance of Motor Power Calculation

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

4. Using the Calculator

Tips: Enter torque in newton-meters (N·m) and angular speed in radians per second (rad/s). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between input and output power?
A: Input power is electrical power consumed by the motor, while output power is mechanical power delivered by the shaft. Output power is always less than input power due to efficiency 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 × (2π/60) ≈ 104.72 rad/s.

Q3: What are typical motor efficiency values?
A: Motor efficiency typically ranges from 70% to 95%, depending on motor type, size, and operating conditions. Higher efficiency motors are more expensive but save energy.

Q4: Can this calculator be used for all motor types?
A: Yes, this formula applies to all rotating electrical motors including AC, DC, induction, and synchronous motors.

Q5: What factors affect motor output power?
A: Voltage supply, current, motor design, temperature, load conditions, and efficiency all influence the actual output power a motor can deliver.