1. What is Work Done In Terms Of Force?

Definition: Work is defined as the energy transferred when a force acts on an object and displaces it.

Purpose: This calculator helps determine the work done when a force is applied to move an object at an angle.

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: The work done is maximum when force and displacement are in the same direction (θ = 0°), and zero when perpendicular (θ = 90°).

3. Importance of Work Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the unit of work?
A: The SI unit of work is the Joule (J), which equals 1 Newton-meter.

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

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

Q4: How is this different from power?
A: Work is energy transfer, while power is the rate of doing work (work/time).

Q5: What's a practical example?
A: Pushing a box at an angle - only the component of force in the direction of motion does work.