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MMMU-Pro / validation_Architecture_and_Engineering_3 / The following data refer to a section of base line measured by a tape hung in…

Problem

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question

The following data refer to a section of base line measured by a tape hung in catenary.<image 1>Length of tape between 0 and 30 m graduations when horizontal at 20°C and under 5 kg tension is 29.9988 m; cross-sectional area of tape = 2.68

mm^{2}

; tension used in the field = 10 kg; temperature coefficient of expansion of tape = $11.16 * 10^{-6}$ per °C; elastic modulus for material of tape = $20.4 * 10^{4} N/mm^{2}$ ; weight of tape per metre length = 0.02 kg; mean radius of the Earth = $6.4*10^{6}$ m.Calculate the corrected length of this section of the line.

Plain-text mathematical notation (without MathML)

The following data refer to a section of base line measured by a tape hung in catenary.<image 1>Length of tape between 0 and 30 m graduations when horizontal at 20°C and under 5 kg tension is 29.9988 m; cross-sectional area of tape = 2.68 mm²; tension used in the field = 10 kg; temperature coefficient of expansion of tape = $11.16 * 10^{-6}$ per °C; elastic modulus for material of tape = $20.4 * 10^{4} N/mm^{2}$; weight of tape per metre length = 0.02 kg; mean radius of the Earth = $6.4*10^{6}$ m.Calculate the corrected length of this section of the line.

Original LaTeX notation

The following data refer to a section of base line measured by a tape hung in catenary.<image 1>Length of tape between 0 and 30 m graduations when horizontal at 20°C and under 5 kg tension is 29.9988 m; cross-sectional area of tape = 2.68 $mm^{2}$; tension used in the field = 10 kg; temperature coefficient of expansion of tape = $11.16 * 10^{-6}$ per °C; elastic modulus for material of tape = $20.4 * 10^{4} N/mm^{2}$; weight of tape per metre length = 0.02 kg; mean radius of the Earth = $6.4*10^{6}$ m.Calculate the corrected length of this section of the line.

img type

Tables

options

153.107 m
152.307 m
148.507 m
153.507 m
151.507 m
154.507 m
155.207 m
150.207 m
152.507 m
150.507 m

subject

Architecture_and_Engineering

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Source and history

upstream_id / Original problem ID: validation_Architecture_and_Engineering_3
task_id: 9b934563-4255-551e-9f28-5f4696c68b3c
task_key: standard~20~2810~20options~29--test--validation~5fArchitecture~5fand~5fEngineering~5f3
task_revision_id: 3
config / split: standard (10 options) / test

Official source

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