Linear Rail
Physics math problem, I am in need of an answer and steps please, thank you.?
The coefficient of linear expansion of steel is 12 × 10–6/C°. A railroad track is made of individual rails of steel 1.0 km in length. By what length would these rails change between a cold day when the temperature is –10 °C and a hot day at 30 °C?
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The coefficient of linear expansion of steel =a= 12 × 10–6/C°.
Length at -10 degree C = L =1 km=1000 m
Temperature difference =dT =30-(-10)=40 degree C
Length at 30 degree C = L (t)
Increase in length =L(t) – L = L(a*dt)
Increase in length =1000(12 × 10–6*40)
Increase in length =1000(0.00048 )
Increase in length =1000(0.00048)
Increase in length =0.48 m
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Scorbot – Custom Linear RAIL System – Part 1 of 2
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