Steel wire of length L' at 40°C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40°C to 30° C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10C, Young's modulus of steel is 10" N/m² and radius of the wire is 1 mm.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
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Steel wire of length 'L' at 40°C is suspended from the
ceiling and then a mass 'm' is hung from its free end.
The wire is cooled down from 40°C to 30° C to regain
its original length 'L'. The coefficient of linear thermal
expansion of the steel is 10rC, Young's modulus of
steel is 10' N/
'm and radius of the wire is 1 mm.
Assume that L >> diameter of the wire. Then the value
uf 'm' in kg is nearly.
Transcribed Image Text:Steel wire of length 'L' at 40°C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40°C to 30° C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10rC, Young's modulus of steel is 10' N/ 'm and radius of the wire is 1 mm. Assume that L >> diameter of the wire. Then the value uf 'm' in kg is nearly.
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