1. What is the Work Formula?

The work formula calculates the mechanical work done when a force moves an object over a distance. When using kilogram-force (kgf), we first convert to Newtons (N) since work is measured in joules (1 J = 1 N·m).

2. How Does the Calculator Work?

The calculator uses the work formula:

Where:

• \( W \) — Work done (joules)
• \( F \) — Force in Newtons (kgf × 9.81)
• \( d \) — Distance moved (meters)
• \( \theta \) — Angle between force and displacement (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 power requirements.

4. Using the Calculator

Tips: Enter force in kgf, distance in meters, and angle in degrees (0° for force in direction of motion, 90° for perpendicular force). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why convert kgf to Newtons?
A: The joule is defined in terms of Newton-meters, so we must use SI units for accurate calculations.

Q2: What does the angle represent?
A: The angle accounts for directional differences between the applied force and the actual movement direction.

Q3: What's the maximum work possible?
A: Maximum work occurs at 0° (cos(0)=1), when force and displacement are parallel. No work is done at 90° (cos(90)=0).

Q4: Can this calculate negative work?
A: While the calculator shows positive values, negative work occurs when force opposes motion (angles between 90°-180°).

Q5: How is this different from energy?
A: Work is energy transferred by a force. The calculations are equivalent (1 joule of work = 1 joule of energy transferred).