1. What is the Work Formula?

The work formula in physics calculates the total work done when a force causes displacement. It is defined as the product of the force applied, the displacement caused, and the cosine of the angle between the force vector and displacement vector.

2. How Does the Calculator Work?

The calculator uses the work formula:

Where:

• \( W \) — Work done (joules)
• \( F \) — Force applied (newtons)
• \( d \) — Displacement (meters)
• \( \theta \) — Angle between force and displacement vectors (degrees)

Explanation: The cosine term accounts for the directional component of the force. Maximum work is done when force and displacement are in the same direction (θ = 0°).

3. Importance of Work Calculation

Details: Calculating work is fundamental in physics for understanding energy transfer, mechanical systems, and efficiency of machines. It's essential in engineering applications and problem-solving.

4. Using the Calculator

Tips: Enter force in newtons, distance in meters, and angle in degrees. All values must be valid (force > 0, distance > 0, angle between 0-180 degrees).

5. Frequently Asked Questions (FAQ)

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

Q2: Can work be negative?
A: Yes, when the angle is between 90° and 270°, cos(θ) is negative, indicating work is done against the force.

Q3: What are the SI units for work?
A: The SI unit for work is the joule (J), which equals 1 newton-meter.

Q4: How does this relate to energy?
A: Work and energy have the same units because work is the transfer of energy from one form to another.

Q5: When is maximum work done?
A: Maximum work occurs when the force and displacement are in the same direction (θ = 0°, cos(0°) = 1).