Motor Mechanical Power Calculator

Mechanical Power Formula:

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

Mechanical Power (P_mech):

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1. What is Motor Mechanical Power?

Motor mechanical power represents the rate at which work is done by an electric motor. It quantifies the mechanical energy output per unit time and is essential for motor selection, performance analysis, and system design in various engineering applications.

2. How Does the Calculator Work?

The calculator uses the mechanical power formula:

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

Where:

\( P_{mech} \) — Mechanical power (Watts)
\( T \) — Torque (Newton-meters)
\( \omega \) — Angular velocity (radians per second)

Explanation: This fundamental equation relates the rotational force (torque) and rotational speed to determine the mechanical power output of a motor or rotating system.

3. Importance of Mechanical Power Calculation

Details: Accurate mechanical power calculation is crucial for motor sizing, efficiency analysis, system optimization, and ensuring proper matching between motors and their mechanical loads in industrial, automotive, and robotic applications.

4. Using the Calculator

Tips: Enter torque in Newton-meters and angular velocity in radians per second. Both values must be positive numbers. For RPM to rad/s conversion, multiply RPM by 0.10472.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between mechanical and electrical power?
A: Mechanical power refers to the output power at the motor shaft, while electrical power is the input power from the electrical supply. The ratio gives motor efficiency.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to get angular velocity in rad/s.

Q3: What are typical mechanical power ranges for different motors?
A: Small DC motors: 1-100W, Industrial motors: 1-100kW, Large industrial motors: 100kW-1MW+.

Q4: How does mechanical power relate to motor efficiency?
A: Motor efficiency = (Mechanical Power Output / Electrical Power Input) × 100%. Typical efficiencies range from 70-95%.

Q5: Can this formula be used for generators?
A: Yes, the same formula applies to generators, where mechanical power is the input and electrical power is the output.