Solve the following problems showing your complete solutions. 1) A rectangular lot was measured using a 50 m metallic tape which was 1.02 cm too short. The recorded distances were 170.55 m long by 137.05 m wide. What is the error in area introduced due to the erroneous length of tape? 2) A line is recorded as 475.25 m long. It is measured with a 6.5 N tape which is 30.492 m long at 680F under a 10 lb. pull supported at end points. During measurement the temperature is 4.50C and the tape is suspended under a 71 N pull. The line is measured on 3% grade. What is the true horizontal distance? Modulus of elasticity of the tape is 1.93 X 108 KPa and cross-sectional area of tape is 0.0284 cm2. Coefficient of expansion of the tape material is 0.0000116 m/0C.
Solve the following problems showing your complete solutions.
1) A rectangular lot was measured using a 50 m metallic tape which was 1.02 cm too short. The recorded distances were 170.55 m long by 137.05 m wide. What is the error in area introduced due to the erroneous length of tape?
2) A line is recorded as 475.25 m long. It is measured with a 6.5 N tape which is 30.492 m long at 680F under a 10 lb. pull supported at end points. During measurement the temperature is 4.50C and the tape is suspended under a 71 N pull. The line is measured on 3% grade. What is the true horizontal distance? Modulus of elasticity of the tape is 1.93 X 108 KPa and cross-sectional area of tape is 0.0284 cm2. Coefficient of expansion of the tape material is 0.0000116 m/0C.
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