1. What Is Mechanical Power?

Mechanical power is the rate at which work is done or energy is transferred in mechanical systems. For rotating machinery like motors, it represents the power output at the shaft.

2. How Does The Calculator Work?

The calculator uses the mechanical power formula:

Where:

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

Explanation: This formula calculates the mechanical power output of a motor by multiplying the torque produced by the motor with its angular velocity.

3. Importance Of Mechanical Power Calculation

Details: Calculating mechanical power is essential for motor selection, system design, efficiency analysis, and ensuring proper sizing of mechanical components in various applications.

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 mechanical power and electrical power?
A: Mechanical power refers to power at the motor shaft, while electrical power is the input power to the motor. The ratio gives 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 × \( \frac{2\pi}{60} \) ≈ 104.72 rad/s.

Q3: What are typical torque values for electric motors?
A: Torque values vary widely by motor size and type, ranging from fractions of Nm for small motors to thousands of Nm for large industrial motors.

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

Q5: How does mechanical power relate to horsepower?
A: 1 horsepower (hp) = 745.7 Watts. To convert from Watts to hp, divide the mechanical power in Watts by 745.7.