A copper wire is 20m long on a winter day when the temperature is – 12 Degrees Celsius?
A copper wire measures 20 meters in length on a winter day when the temperature is –12 degrees Celsius. How much does its length increase on a summer day when the temperature reaches 26 degrees Celsius? Please express your answer using two significant figures. Could someone guide me through the calculations? Thank you!
2 Answers
Dec 09, 2024
This is an easy problem.Use the relation of thermal expansion..
L=L0(1+ αΔT)
By putting the given values you will easily get the answer.
Copper thermal expansion coefficient α = 16,8 x 10^-6 / °C
Length change = α x original length x temperature change
Length change = 16,8 x 10^-6 x 20 x ( 26 - -12 )
Length change = 16,8 x 10^-6 x 20 x 38
Length change = 16,8 x 10^-6 x 20 x 38
Length change = 12768 x 10^-6 = 0,012768 meters = 12,768 cm
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