The length of line measured by 20 m chain was found to be 751 m. The chain was tested before start of measurement and was found correct. The chain was again tested after measurement and was found 6 cm too short. What shall be the correct length of line ?

The length of line measured by 20 m chain was found to be 751 m. The chain was tested before start of measurement and was found correct. The chain was again tested after measurement and was found 6 cm too short. What shall be the correct length of line ?
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1 Answer

Answer :

Given Data:

Standard length of chain (L)= 20m

Measured Length (M.L.) = 751 m

Error before start of measurement = 0.0

Error after measurement = 6 cm = 0.06 m

To Find: Actual length or Correct length

Solution:

Average error = (0 + 0.06) /2 = 0.03m

Actual length of chain(L’) = 20 -0.03 = 19.97 m

Correct length = Measured length x (L’/L)

 = (751) x (19.97/20)

 = 749.87

Correct length of line is 749.87 m
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