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A surveyor’s 30 m steel tape is correct at a temperature of 20°C. The distance between two points, as measured by this tape on a day when the temperature is 35°C, is 26 m. What is the true distance between the points?αsteel =1.2×10−5/∘C

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answer is 26.00.

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Detailed Solution

Let temperature above the correct temperature be⇒ θ=35−20=15∘C (Using the relation)Correct length = measured length(1+αθ)True distance between the points = 26(1+ 1.2 x10-5 X1.5)⇒  True distance =26.00476m
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A surveyor’s 30 m steel tape is correct at a temperature of 20°C. The distance between two points, as measured by this tape on a day when the temperature is 35°C, is 26 m. What is the true distance between the points?αsteel =1.2×10−5/∘C