1. What is the Work Equation Calculator?

Definition: This calculator computes the work done when a force is applied to move an object at an angle to the direction of motion.

Purpose: It helps physics students and professionals calculate mechanical work in joules for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The work is maximum when force and displacement are parallel (θ = 0°) and zero when perpendicular (θ = 90°).

3. Importance of Work Calculation

Details: Work calculations are fundamental in physics, engineering, and mechanical systems to determine energy transfer.

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 happens when θ = 0°?
A: cos(0°) = 1, so work = F × d (maximum work done).

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

Q3: What are typical force values?
A: 1 N ≈ weight of 100g object on Earth. Human forces range 10-1000N depending on activity.

Q4: Why is work measured in joules?
A: 1 joule = 1 newton-meter, the standard unit of energy/work in the SI system.

Q5: Can work be negative?
A: Yes, when 90° < θ ≤ 180° (cosine is negative), meaning force opposes motion.