β‘ Work Done Calculator
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π Understanding Work Done
Work done is the energy transferred when a force is applied to an object over a displacement. It is calculated using:
Work (W) = Force (F) Γ Displacement (d) Γ cos(ΞΈ)
The unit of work is **Joule (J)**.
π Examples of Work Done Calculation
| Force (N) | Displacement (m) | Angle (degrees) | Work Done (J) |
|---|---|---|---|
| 50 | 10 | 0 | 500 |
| 30 | 5 | 30 | 129.9 |
| 100 | 2 | 45 | 141.4 |
β FAQs
Q1: How do I calculate work done?
β
Work done is calculated using **W = F Γ d Γ cos(ΞΈ)**, where F is force, d is displacement, and ΞΈ is the angle between force and displacement.
Q2: What are the SI units of work?
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Work is measured in **Joules (J)**, where 1 Joule equals 1 Newton-meter (NΒ·m).
Q3: Can work be negative?
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Yes, work is negative when the force applied is opposite to the displacement direction, meaning energy is removed from the system.
Q4: How can I calculate force if work and displacement are known?
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If work done and displacement are known, force can be calculated as **F = W / (d Γ cos(ΞΈ))**.
Q5: What happens when force and displacement are perpendicular?
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If force and displacement are perpendicular, cos(90Β°) = 0, meaning no work is done.
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