Steel measuring tape and A copper rod are at their true length at room temperature there thermal coefficient of linear expansion as Alpha S and Alpha C respectively however measuring of copper rod length by Steel tape is show us 08 the temperature Dell theatre higher than room temperature the correct length of copper rod at room temperature is
Answers
New length of steel and copper rod is 80.0176 cm and 80.0272 cm
Explanation:
Correct statement:
A steel scale measures the length of a copper rod as 80cm when both are at 20°c , the calibration temperature of the scale . what would the scale read for the length of the rod when both are at 40°c , given coefficient of linear expansion of steel =1.1×10^-5°c^-1 and coefficient of linear expansion of copper =1.7×10^-5°c^-1
Find the new length of steel:
1.1×10^-5 = L2 - L1 / L1 x (T2 - T1)
L2 - L1 = 1.1×10^-5 x 0.8 x 20
= 0.000176
L2 = 0.8 + 0.000176 = 0.800176 m = 80.0176 cm
Find the new length of copper:
1.7×10^-5 = L2 - L1 / L1 x (T2 - T1)
L2 - L1 = 1.7×10^-5 x 0.8 x 20
= 0.000272
L2 = 0.8 + 0.000272 = 0.800272 m = 80.0272 cm
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