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In this example we see how thermal expansion can actually throw off the accuracy of a length-measuring device—namely, a tape measure. A surveyor uses a steel measuring tape that is exactly 50.000 mm long at a temperature of 20 ∘C∘C. What is its length on a hot summer day when the temperature is 35 ∘C∘C?

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Answer:

The new length is 50.00885m

Explanation:

linear thermal expansion coefficient Fe 11.8e-6 /K

The new length can be determined using the following equation:

∆L/L = α∆T, where α is linear thermal expansion coefficient

∆L = Lα∆T = 50(11.8e-6)(35-20) = 0.00885 m

New length = ( 50.000 + 0.00885)m =

New length = 50.00885 m

Explanation:

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