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Calculate the strain on a wire given its original length is 100 cm and its extension is 0.008 cm.

Physics

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Answer

0.00008\text{0.00008}

Step-by-step solution

3 steps

To find the strain on the wire, we use the formula for strain, which is the ratio of the extension to the original length.

  1. Identify the given values.

    Original length, L0=100 cmL_0 = 100 \text{ cm}
    Extension, ΔL=0.008 cm\Delta L = 0.008 \text{ cm}

  2. State the formula for strain.

    Strain (ϵ\epsilon) is given by:

    ϵ=ΔLL0\epsilon = \frac{\Delta L}{L_0}

  3. Substitute the values into the formula and calculate the strain.

    ϵ=0.008 cm100 cm\epsilon = \frac{0.008 \text{ cm}}{100 \text{ cm}} ϵ=0.00008\epsilon = 0.00008

    Strain is a dimensionless quantity, as it is a ratio of two lengths.

    The strain on the wire is 0.00008\text{0.00008}.

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