question archive A steel surveyor's tape is to be used to measure a length of a line

A steel surveyor's tape is to be used to measure a length of a line

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A steel surveyor's tape is to be used to measure a length of a line. The tape has a rectangular cross section of 0.05 in. by 0.2 in. and a length of 100 ft when T_1 = 60 degree F and the tension or pull on the tape is 20 lb. Determine the true length of the line if the tape shows the reading to be 463.25 ft when used with a pull of 35 lb at T_2 = 90 degree F. The ground on which it is placed is flat. alpha_at = 9.60(10^-6) F, E_at = 29,000 ksi.

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