1. What is the Work Formula Calculator?

Definition: This calculator computes the work done when a force moves an object over a distance at an angle.

Purpose: It helps students and professionals in physics and engineering calculate mechanical work.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: Work is calculated as the product of force, distance, and the cosine of the angle between them.

3. Importance of Work Calculation

Details: Understanding work is fundamental in physics, helping analyze energy transfer in mechanical systems.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° for parallel, 90° for perpendicular).

5. Frequently Asked Questions (FAQ)

Q1: What does negative work mean?
A: Negative work occurs when the force component opposes the displacement (angles between 90° and 270°).

Q2: What's the work when force is perpendicular to movement?
A: At 90°, cos(90°) = 0, so no work is done in the direction of movement.

Q3: What are typical units for work?
A: The SI unit is Joules (J), equal to 1 Newton-meter.

Q4: How does angle affect work?
A: Maximum work occurs at 0° (force parallel to movement), decreasing to zero at 90°.

Q5: Can this calculate work against gravity?
A: Yes, use the vertical component of displacement and gravitational force (9.81 N/kg).