Question
Download Solution PDFThe length of a survey line, when measured with a chain of 20 m nominal length, was found to be 841.5 m. If the chain used is 0.1 m too long, the correct length of the measured line is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
\(l={l}'\times \left[ \frac{{{L}'}}{L} \right]\)
Where,
l = true length of the line
l’ = measured length of a line
L = true length of chain/tape
L’ = Incorrect length of chain/tape
Calculation:
l’= 841.5m
L = 20m
as a chain is 0.1m too long,
L’ = 20.1m
\(\therefore l=841.5\times \left[ \frac{20.1}{20} \right]~\)
l = 845.7m
Mistake point:
● If the chain is 0.1m too long, L’ = 20.1m
● If the chain is 0.1m too short, L’ = 19.9m
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