1. What is a Work Calculator?

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

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

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( W \) — Work done (Joules)
• \( F \) — Force applied (Newtons)
• \( d \) — Distance moved (meters)
• \( \theta \) — 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: Work calculations are fundamental in physics and engineering for understanding energy transfer in mechanical systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does θ = 0° mean?
A: When θ = 0°, the force is completely in the direction of displacement (maximum work).

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

Q3: What are the units of work?
A: Work is measured in Joules (J) in the SI system, where 1 J = 1 N·m.

Q4: Can work be negative?
A: Yes, when 90° < θ ≤ 180°, cos(θ) is negative, indicating force opposes displacement.

Q5: How is this different from power?
A: Work measures energy transfer, while power measures the rate of work done (work/time).