1. What is the Work Force Distance Formula?

Definition: This formula calculates the work done when a force moves an object over a distance at an angle.

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

2. How Does the Formula Work?

The formula is:

Where:

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

Explanation: Only the component of force in the direction of displacement does work. The cosine term accounts for the angle between them.

3. Importance of Work Calculation

Details: Understanding work is fundamental in physics for analyzing energy transfer in mechanical systems.

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 (θ=90°), cos(90°)=0, so no work is done.

Q2: What are typical units for each variable?
A: Force in Newtons (N), distance in meters (m), angle in degrees (°), and work in Joules (J).

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

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

Q5: How does this relate to kinetic energy?
A: The work-energy theorem states that net work equals change in kinetic energy.