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.

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 direction of motion (degrees)

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

3. Importance of Work Calculation

Details: Calculating work helps understand energy transfer in mechanical systems and is fundamental in physics and engineering.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 90°?
A: When force is perpendicular to motion (θ = 90°), cos(90°) = 0, so no work is done.

Q2: What are typical force values?
A: Forces can range from fractions of a Newton (small pushes) to thousands of Newtons (heavy machinery).

Q3: Why is work measured in Joules?
A: 1 Joule = 1 Newton × 1 meter, the standard unit of energy in the SI system.

Q4: What if the angle is negative?
A: The calculator accepts 0-90°; negative angles would indicate force component opposite to motion.

Q5: How does this relate to power?
A: Power is work done per unit time (W = Work/Time), measured in Watts (Joules/second).