1. What is the Work Done Integral?

The work done by a force is calculated as the integral of the force over the displacement. For constant force, this simplifies to W = F × d. For variable forces, integration is needed to sum the work over the entire path.

2. How Does the Calculator Work?

The calculator uses the work done equation:

Where:

• \( W \) — Work done (Joules)
• \( F \) — Force (Newtons)
• \( dx \) — Displacement (meters)

Explanation: This calculator currently handles the simple case of constant force. For variable forces, numerical integration would be required.

3. Importance of Work Calculation

Details: Calculating work done is fundamental in physics and engineering, helping determine energy transfer in mechanical systems.

4. Using the Calculator

Tips: Enter force in Newtons and displacement in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the force isn't constant?
A: For variable forces, you would need to integrate the force function over the displacement path.

Q2: What are the units of work?
A: The SI unit is Joules (J), which equals Newton-meters (N·m).

Q3: Can this calculate negative work?
A: This simple calculator only handles positive values. Negative work occurs when force opposes displacement.

Q4: How does this relate to energy?
A: Work done equals the change in energy of a system (Work-Energy Theorem).

Q5: What about angular work?
A: For rotational systems, work is calculated using torque and angular displacement (W = ∫τ dθ).