1. What is a Work and Force Calculator?

Definition: This calculator computes the work done when a force is applied to move an object over a distance at an angle.

Purpose: It helps students, engineers, and physicists understand and 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, distance, and the cosine of the angle between them.

3. Importance of Work Calculation

Details: Understanding work helps in designing mechanical systems, calculating energy requirements, and solving physics problems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 0°?
A: When force and displacement are parallel (θ=0°), cos(0°)=1, so W = F × d (maximum work).

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

Q3: What are typical Newton values?
A: 1 N ≈ the force of gravity on a 100g object. Human pushing force might be 50-500N.

Q4: How is this different from energy?
A: Work is energy transferred by force. Both share the same unit (Joules).

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