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A metallic axle with a diameter of 20mm has to be fitted into a wheel which has a circular hole at its center with diameter of 18.5mm

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The coefficient of linear expansion of the metal at the given length is determined as  3.75 x 10⁻⁴/⁰C.

Coefficient of linear expansion of the metal

The coeffcient of linear expansion of the metal is calculated as follows;

ΔL = αLΔT

α = ΔL/LΔT

Where;

  • α is the coefficient of linear expansion
  • ΔL is change in length = 20 mm - 18.5 mm = 1.5 mm
  • ΔT is change in temperature = 0 - (-200) = 200°C
  • L is the original length = 20 mm

α = (1.5)/(20 x 200)

α = 3.75 x 10⁻⁴/⁰C

The complete question is below:

A metallic axle with a diameter of 20mm has to be fitted into a wheel which has a circular hole at its center with diameter of 18.5mm. To fit the axle into the hole, the axle is dipped into liquid nitrogen at a temperature of -200°C. Calculate the coefficient of linear expansion of the metal.

Learn more about coefficient of linear expansion here: https://brainly.com/question/24215446

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