A metal pipeline is laid to carry oil 500 miles
across desert.Temp @ night is 30 F: during day temp is 130 F?
The linear coefficient of thermal
expansion of metal is 0.000006, how much expansion and contraction
along pipeline must the design engineer plan for..
a. 475 ft
b. 1584 ft
c.2059 ft
d. 2534 ft
The linear coefficient of thermal
expansion of metal is 0.000006 what units , how much expansion and contraction
along pipeline must the design engineer plan for..
To calculate the expansion and contraction along the pipeline, we can use the formula:
Change in length = Original length x Coefficient of thermal expansion x Change in temperature
First, let's convert the temperatures from Fahrenheit to Celsius for easier calculations:
Night temperature: 30°F = -1.11°C
Day temperature: 130°F = 54.44°C
Now, let's calculate the change in temperature:
Change in temperature = Day temperature - Night temperature
= 54.44°C - (-1.11°C)
= 55.55°C
Next, we need to calculate the change in length using the formula mentioned above:
Change in length = 500 miles x 5280 ft/mile x 0.000006 x 55.55°C
Calculating this, we get:
Change in length = 923.44 ft
Since we need to account for both expansion and contraction, we take the absolute value of the change in length:
Change in length = |923.44 ft|
= 923.44 ft
Therefore, the engineer must plan for a change in length of 923.44 ft along the pipeline.
Among the given options, none match the calculated value exactly. However, the closest option is:
c. 2059 ft
While it is not an exact match, it is the closest approximation given the provided options. It is important to note that the actual value may fall within the range of the given options.