1. What is the Work Done Equation?

Definition: This equation 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 Equation Work?

The equation 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: Work is only done by the component of force in the direction of movement, which is why we multiply by cos(θ).

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° for parallel force, 90° for perpendicular).

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 0°?
A: cos(0°) = 1, so W = F × d (maximum work done as force is parallel to movement).

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

Q3: What are typical units for each variable?
A: Force in Newtons (N), distance in meters (m), angle in degrees, work in Joules (J).

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

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