1. What is the Work Done By A Force 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 energy transfer when forces act on objects.

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 force and displacement.

3. Importance of Work Calculation

Details: Calculating work helps understand energy requirements, mechanical efficiency, and system performance in various applications.

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: It means the force is applied in the same direction as the displacement (maximum work done).

Q2: What happens at θ = 90°?
A: No work is done as the force is perpendicular to displacement (cos(90°) = 0).

Q3: What are typical Newton values?
A: 1 N ≈ the force of gravity on a 100g object. Human forces range from 10N to 1000N.

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

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