1. What is the Work Done And Force Equation?

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

Purpose: It helps physics students and professionals calculate mechanical work in various scenarios.

2. How Does the Calculator Work?

The calculator 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 calculated as the product of force, displacement, and the cosine of the angle between them.

3. Importance of Work Calculation

Details: Understanding work done is fundamental in physics and engineering for analyzing energy transfer in systems.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° for parallel, 90° for perpendicular). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What does θ = 0° mean?
A: When θ = 0°, the force is parallel to the displacement (maximum work done).

Q2: What happens when θ = 90°?
A: At 90°, cos(90°) = 0, so no work is done as the force is perpendicular to displacement.

Q3: Can work be negative?
A: Yes, when 90° < θ ≤ 180°, cos(θ) is negative, indicating work done against the force.

Q4: What are typical force values?
A: 1 N ≈ the force of gravity on a 100g object. Human forces typically range 10-1000 N.

Q5: How does this relate to energy?
A: Work done equals energy transferred. 1 Joule = 1 Newton-meter of energy.