How to find energy stored in a wire

In summary, the energy stored in a wire can be calculated using the formula E = 0.5 * k * x^2 and is affected by factors such as length, cross-sectional area, material composition, and applied force. It cannot be negative and is directly proportional to temperature. This concept is utilized in everyday objects and is important in understanding material behavior.
  • #1
pvpkillerx
22
0
There are 1000 tonnes of high tensile steel wire stressed to 1000MPa. How much energy is stored in the steel?



[itex]\sigma = P/A[/itex]



First I multiplied the 1000 tonnes (1000000kg) by 9.8m/s^2. Then I found the volume by dividing the weight by the original weight. I don't know what to do next. I am not even sure if i am going in the right direction or which equation i should use. Any help is appreciated.
 
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  • #2
If something streaches, its weight does not change. It gets thinner but longer. Hint: Find the volume by using metal properties.
 

FAQ: How to find energy stored in a wire

How do you calculate the energy stored in a wire?

The energy stored in a wire can be calculated using the formula E = 0.5 * k * x^2, where E is the energy stored, k is the spring constant of the wire, and x is the displacement from the equilibrium position.

What factors affect the energy stored in a wire?

The energy stored in a wire is affected by its length, cross-sectional area, material composition, and the amount of force applied to it.

Can the energy stored in a wire be negative?

No, the energy stored in a wire cannot be negative as it represents the potential energy stored in the wire due to its displacement from equilibrium.

How does the energy stored in a wire change with temperature?

The energy stored in a wire is directly proportional to its temperature. As the temperature increases, the wire will expand and its potential energy will increase.

How is the energy stored in a wire used in everyday life?

The energy stored in a wire is used in various everyday objects such as springs in mattresses, door hinges, and even in musical instruments like guitars and pianos. It is also an important concept in understanding the behavior of materials under stress and strain.

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