1. What is the Work Done Formula?

The work done formula (W = F × d × cos(θ)) calculates the energy transferred when a force moves an object over a distance at an angle. Work is measured in joules (J) in the SI system.

2. How Does the Calculator Work?

The calculator uses the work done formula:

Where:

• \( W \) — Work done (Joules)
• \( F \) — Force applied (Newtons)
• \( d \) — Displacement distance (meters)
• \( \theta \) — Angle between force and displacement (degrees)

Explanation: Work is only done when the force has a component in the direction of displacement. When force is perpendicular to displacement (θ=90°), no work is done.

3. Importance of Work Calculation

Details: Calculating work is fundamental in physics and engineering for determining energy requirements, mechanical advantage, and system efficiency.

4. Using the Calculator

Tips: Enter force in newtons, distance in meters, and angle in degrees (0° means force and displacement are parallel). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between work and energy?
A: Work is the transfer of energy. Both are measured in joules, but work specifically refers to energy transferred by force through displacement.

Q2: What happens when θ = 0°?
A: At 0°, cos(θ)=1, so the formula simplifies to W = F × d (maximum work done as force and displacement are parallel).

Q3: Can work be negative?
A: Yes, when 90° < θ ≤ 180°, cos(θ) is negative, indicating the force component opposes the displacement (energy is removed from the system).

Q4: What are practical applications?
A: Used in calculating mechanical work, engine efficiency, power requirements, and in thermodynamics for PV work calculations.

Q5: How does this relate to power?
A: Power is work done per unit time (P = W/t). This calculator provides the W needed for power calculations.