SOLUTION: A rod of 5 m at 6c grows to 5.006 m when the temperature is raised to 48c. Find the coeffcient of volumetric expansion of the unknown composing the rod.

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Question 54180This question is from textbook strategies for problem solving workbook
: A rod of 5 m at 6c grows to 5.006 m when the temperature is raised to 48c. Find the coeffcient of volumetric expansion of the unknown composing the rod. This question is from textbook strategies for problem solving workbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The formula you need to use is delta%28L%29=alpha%2AL1%2Adelta%28T%29
delta%28L%29=Length final(L2)- length initial(L1)
delta%28T%29=Temperature final(T2) - Temperature initial(T1)
alpha = the coefficient of linear expansion
delta%28L%29=5.006m-5.00m=.006m
delta%28T%29=48C-6C=42C
L1=5.00m
delta=delta (I don't have a triangle delta, sorry)and alpha=alpha in greek
Solve the equation for alpha

delta%28L%29%2FL1%2A%28delta%28T%29%29=alpha
.006m%2F%285.00m%2A42C%29=alpha
2.857%2A10%5E-5%2FC=alpha
highlight%28alpha=2.857%2A10%5E-5C%5E%28-1%29%29
Happy Calculating!!!