SOLUTION: A line was measured with a steel tape when the temperature was 30°C. The measured length of the line was found to be 1,256.271 feet. The tape was afterwards tasted when the tempera

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Question 1058074: A line was measured with a steel tape when the temperature was 30°C. The measured length of the line was found to be 1,256.271 feet. The tape was afterwards tasted when the temperature was 10°C and it was found to be 100.042 feet long. What was the true length of the line if the coefficient of expansion of the tape was 0.000011 per °C?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the tape at 30C.
L=100.042%2B%2830-10%29%280.000011%29=100.042%2B0.00022=100.04222
So the percentage error at temperature is,
P=100.04222%2F100.042=1.000002199076
So the line length at 10C would be,
LL=1256.271%2F1.000002199076=1256.268ft