1. What is Motor Power Output?

Motor power output (P_out) represents the mechanical power delivered by an electric motor to its load. It is calculated as the product of torque and angular velocity, measured in watts (W).

2. How Does the Calculator Work?

The calculator uses the motor power output formula:

Where:

• \( P_{out} \) — Motor output power (W)
• \( T \) — Torque (Nm)
• \( \omega \) — Angular velocity (rad/s)

Explanation: This formula calculates the mechanical power output by multiplying the torque produced by the motor with its rotational speed in radians per second.

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 can handle the required mechanical load without overheating or failing.

4. Using the Calculator

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.

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 to the load. 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 × (2π/60) ≈ 104.72 rad/s.

Q3: What is typical motor efficiency?
A: Electric motor efficiency typically ranges from 70% to 95%, depending on motor type, size, and operating conditions.

Q4: Can this formula be used for all motor types?
A: Yes, this mechanical power formula applies to all rotating machinery including AC motors, DC motors, and hydraulic motors.

Q5: How does power factor affect motor performance?
A: Power factor affects the electrical input power calculation but not the mechanical output power calculated by this formula.