1. What is the Work Done Force Distance Equation?

Definition: This equation calculates the work done when a force acts on an object over a distance at an angle.

Purpose: It helps in physics and engineering to determine the energy transferred by a force.

2. How Does the Equation Work?

The equation uses the formula:

Where:

• \( W \) — Work done (Joules, J)
• \( F \) — Force applied (Newtons, N)
• \( d \) — Distance moved (meters, m)
• \( \theta \) — Angle between force and displacement (degrees)

Explanation: Work is only done by the component of force in the direction of displacement.

3. Importance of Work Calculation

Details: Understanding work helps in designing mechanical systems, calculating energy requirements, and analyzing efficiency.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° means force and displacement are parallel).

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 90°?
A: When force is perpendicular to displacement (cos90°=0), no work is done.

Q2: What are typical force values?
A: 1 N ≈ weight of 100g object. Human pushing force might be 100-500N.

Q3: Why is angle important?
A: Only the force component in the displacement direction does work.

Q4: What's the difference between work and power?
A: Work is energy transferred; power is the rate of work done (work/time).

Q5: Can work be negative?
A: Yes, when force opposes displacement (90° < θ ≤ 180°).