Calculate the amount of expansion occurring when a steel rail 920.000 meters in length is heated from -10.000 to 410.000 degrees Celsius.
ANS = m
Steel = 12 * 10 ^-6
= 0.000012
Change in length
= Original length * Coefficient of linear expansion * Temperature rise.
= 920m * 0.000012 * 420
ANS = 4.636m
Please Check, Thank you.
It looks ok to me but I think you should round the answer to the correct number of significant figures.
ΔL = αLΔT =
=12•10⁻⁶•920•420=4.637 m
To calculate the amount of expansion occurring when a steel rail is heated, we need to use the formula:
Change in length = Original length * Coefficient of linear expansion * Temperature rise.
Given:
Original length of the steel rail (L): 920.000 meters
Coefficient of linear expansion for steel (α): 12 * 10^-6
Temperature rise (ΔT): 410.000 - (-10.000) = 420.000 degrees Celsius
Substituting these values into the formula, we get:
Change in length = 920.000 * 12 * 10^-6 * 420.000
Calculating this value, we find:
Change in length = 0.000012 * 420 * 920
Change in length = 4.536 meters
Therefore, the amount of expansion occurring when the steel rail is heated from -10.000 to 410.000 degrees Celsius is 4.536 meters.