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Work Calculator Physics

Work Equation:

\[ W = F \times d \times \cos(\theta) \]

N
m
degrees

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1. What is Work in Physics?

In physics, work is the energy transferred to or from an object via the application of force along a displacement. The basic formula is W = F × d × cos(θ), where F is force, d is displacement, and θ is the angle between the force and displacement vectors.

2. How Does the Calculator Work?

The calculator uses the work equation:

\[ W = F \times d \times \cos(\theta) \]

Where:

Explanation: When force and displacement are in the same direction (θ = 0°), work is maximized. When perpendicular (θ = 90°), no work is done.

3. Importance of Work Calculation

Details: Calculating work is fundamental in mechanics, helping determine energy transfer in systems, mechanical advantage, and efficiency of machines.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What are the units of work?
A: The SI unit is Joule (J), equivalent to 1 Newton-meter (N·m).

Q2: Can work be negative?
A: Yes, when the force component opposes displacement (90° < θ ≤ 180°), work is negative.

Q3: What's the difference between work and power?
A: Work is energy transfer, while power is the rate of doing work (work per unit time).

Q4: When is work zero?
A: When θ = 90° (force perpendicular to motion) or when there's no displacement.

Q5: How does this relate to kinetic energy?
A: The work-energy theorem states that net work equals change in kinetic energy.

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