A line was determined to be 2395.25m when measured with a 30-m steel tape supported throughout its length under a pull of 4kg at a mean temperature of 35 degree celcius. Tape used is of standard length at 20 degree celcius under a pull of 5kg. Cross-sectional area of the tape is 0.03 cm squared. Coefficient of thermal expansion is 0.0000116/ degree celcius. Modulus of elasticity of tape is 2x106kg/cm squared.  a. Determine the error of the tape due to change in temperature. b. Determine the error due to tension c. Determine the corrected length of the line.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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Chapter7: Length And Length-related Variables In Engineering
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A line was determined to be 2395.25m when measured with a 30-m steel tape supported throughout its length under a pull of 4kg at a mean temperature of 35 degree celcius. Tape used is of standard length at 20 degree celcius under a pull of 5kg. Cross-sectional area of the tape is 0.03 cm squared. Coefficient of thermal expansion is 0.0000116/ degree celcius. Modulus of elasticity of tape is 2x106kg/cm squared. 

a. Determine the error of the tape due to change in temperature.

b. Determine the error due to tension

c. Determine the corrected length of the line.

 

 

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