Work Done in Stretching a Wire

📊 advanced

$$W = \frac{1}{2} \times \text{Stress} \times \text{Strain} \times \text{Volume}$$

Energy stored in a wire when stretched within elastic limit.

Variables & Units

$W$

Elastic Potential Energy

Unit: Joule

Key Information

📐 Derived From

Integration of $F dl$.

💡 Example

Energy stored in a spring or wire.

🔧 Applications

Safety ropes and shock absorbers.

⚠️ Constraints

Hooke's Law must hold.

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