Question

Strain energy of the stretched wire is 18×10^-3j and strain energy per unit volume of the same wire and the same cross section is 6×10^-3 j/m^3.calculate its volume​

Answer 1

Answer:

Volume of the wire is 3 cubic meter

Explanation:

As we know that total strain energy stored in the wire is

$U = 18 \times 10^{-3} J$

now the energy density or total energy per unit volume of the wire is

$\frac{U}{V} = 6 \times 10^{-3} J/m^3$

now we know that

$Volume = \frac{Energy}{Energy/Volume}$

so we have

$V = \frac{18\times 10^{-3}}{6 \times 10^{-3}}$

$V = 3 m^3$

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Topic : Energy Density

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Answer 2

Answer:

The volume of the wire is 3 m³.

Explanation:

Given that,

Strain energy of stretched wire $U=18\times10^{-3}\ J$

Total energy per volume $\dfrac{U}{V}= 6\times10^{-3}\ j/m^3$

We need to calculate the volume of the wire

Using formula of volume

$V=\dfrac{U}{\dfrac{U}{V}}$

Where, U =Strain energy of the stretched wire

$\dfrac{U}{V}$ = Energy per volume

Put the value into the formula

$V=\dfrac{18\times10^{-3}}{6\times10^{-3}}$

$V=3\ m^3$

Hence, The volume of the wire is 3 m³.

Learn more :

Topic : energy per volume

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