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Equation Linking Distance Force And Work Done

Work Done Formula:

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

N
m
degrees
J

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1. What is the Work Done Equation?

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

Purpose: It helps in physics and engineering to determine the energy transferred by a force.

2. How Does the Equation Work?

The equation is:

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

Where:

Explanation: Work is only done by the component of force in the direction of movement.

3. Importance of Work Calculation

Details: Understanding work done is fundamental in mechanics, energy transfer, and efficiency calculations.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does θ = 0° mean?
A: The force is applied in the same direction as the movement (maximum work done).

Q2: What does θ = 90° mean?
A: The force is perpendicular to movement (no work done, cos(90°) = 0).

Q3: Can work be negative?
A: Yes, when 90° < θ ≤ 180°, indicating force opposes motion.

Q4: What's the unit of work?
A: Joules (J), equivalent to 1 Newton-meter.

Q5: How is this different from power?
A: Work is energy transfer, while power is the rate of work done (Joules/second = Watts).

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