1. What is Mechanical Work and Power?

Mechanical work is the energy transferred by a force acting through a distance in rotational systems. Power is the rate at which work is done or energy is transferred.

2. How Do the Equations Work?

The calculator uses these fundamental equations:

Where:

• \( W \) — Mechanical work (Joules)
• \( P \) — Power (Watts)
• \( \tau \) — Torque (Newton-meters)
• \( \theta \) — Angle of rotation (radians)
• \( \omega \) — Angular velocity (radians per second)

Explanation: Work is the product of torque and angular displacement, while power is the product of torque and angular velocity.

3. Importance of Mechanical Work and Power

Details: These calculations are essential in mechanical engineering, automotive design, and any system involving rotational motion. They help determine energy requirements and system efficiency.

4. Using the Calculator

Tips: Enter torque in N·m, angle in radians, and angular velocity in rad/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between work and power?
A: Work measures total energy transfer, while power measures the rate of energy transfer over time.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (1 RPM = 0.10472 rad/s).

Q3: What are typical torque values?
A: Car engines: 100-500 N·m, Electric motors: 0.1-50 N·m, Human pedaling: 50-100 N·m.

Q4: Why use radians instead of degrees?
A: Radians are the natural unit for angular measurement in physics, simplifying calculations.

Q5: Can I use this for linear motion?
A: No, these are specifically for rotational systems. For linear motion, use W = F·d and P = F·v.