1. What is Mechanical Power?

Mechanical power is the rate at which work is done or energy is transferred in a mechanical system. In rotational systems, it's the product of torque and angular velocity.

2. How Does the Calculator Work?

The calculator uses the mechanical power formula:

Where:

• \( P \) — Mechanical power (watts)
• \( T \) — Torque (newton-meters, Nm)
• \( \omega \) — Angular speed (radians per second, rad/s)

Explanation: This formula shows that power output increases with either higher torque or higher rotational speed.

3. Importance of Mechanical Power Calculation

Details: Calculating mechanical power is essential for motor selection, energy efficiency analysis, and mechanical system design. It helps determine if a motor can handle the required load at a given speed.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular speed in radians per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (≈0.10472). For example, 1000 RPM = 1000 × 0.10472 ≈ 104.72 rad/s.

Q2: What's the difference between mechanical and electrical power?
A: Mechanical power refers to power in mechanical systems (force × velocity or torque × angular speed), while electrical power is voltage × current.

Q3: Can I use this for linear motion systems?
A: No, this is for rotational systems. For linear motion, use P = F × v (force × velocity).

Q4: What are typical torque values for electric motors?
A: Small motors might produce 0.1-1 Nm, while industrial motors can produce hundreds of Nm.

Q5: How does efficiency factor into power calculations?
A: The calculated power is mechanical output power. Input power would be higher due to efficiency losses (P_input = P_output / efficiency).