1. What is the Work Formula?

The work formula \( W = F \times d \times \cos\theta \) calculates the work done when a force is applied to move an object over a distance at an angle. Work is measured in joules (J) in the International System of Units.

2. How Does the Calculator Work?

The calculator uses the work formula:

Where:

• \( F \) — Force applied (Newtons)
• \( d \) — Distance moved (meters)
• \( \theta \) — Angle between force and displacement vectors (degrees)

Explanation: The formula accounts for both the magnitude of force and the direction of application relative to the displacement.

3. Importance of Work Calculation

Details: Calculating work is fundamental in physics and engineering to determine energy transfer, mechanical efficiency, and system performance in various applications.

4. Using the Calculator

Tips: Enter force in Newtons, distance in meters, and angle in degrees (0-180). All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative work value mean?
A: Negative work indicates that the force is acting in the opposite direction to the displacement, meaning energy is being removed from the system.

Q2: What is the unit of work?
A: Work is measured in joules (J), where 1 J = 1 N·m (Newton-meter).

Q3: What happens when θ = 90°?
A: When the force is perpendicular to the displacement (θ = 90°), cos(90°) = 0, so no work is done.

Q4: Can work be zero even with force applied?
A: Yes, if there's no displacement (d = 0) or if the force is perpendicular to the displacement (θ = 90°), the work done will be zero.

Q5: How does angle affect the work calculation?
A: The cosine factor accounts for the directional component. Maximum work occurs when force and displacement are parallel (θ = 0°), minimum when they are opposite (θ = 180°).