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Compute the coefficient of linear expansion of a 60cm rod which expand by 0.102cm when temperature rises 0°C to 100°C. ​

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Calculating the coefficient of linear expansion.

Given

  • Length (L) = 60 cm
  • Change in Length (ΔL) = 60 cm + 0.102 cm
  • Change of Temperature (ΔT) = 0 °C → 100 °C
  • Coeffiecient of Linear Expansion (α) = ?

α = ΔL / LΔT

α = (60 + 0.102) / (60)(100 - 0)

α = 60.102 / (60)(100)

α = 60.102 / 600

α = 1.0017 x 10⁻⁶ °C⁻¹

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