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ques2

Asked by rbhatt16 27th December 2017, 11:39 PM
Answered by Expert
Answer:
Average cross section  is given by
 
begin mathsize 12px style A space equals space 1 over L integral subscript 0 superscript L pi R subscript i superscript 2 d l space
w h e r e space R subscript l space equals space open parentheses space a minus b cross times l space close parentheses space a n d space L space equals space l e n g t h space o f space w i r e space equals space 10 space m
c o e f f i c i e n t s space a space a n d space b space a r e space c a l c u l a t e d space a s space f o l l o w s

w h e n space l e n g t h space l space equals 0 space m comma space R space equals space 9.8 cross times 10 to the power of negative 4 end exponent comma space h e n c e space a space equals space 9.8 cross times 10 to the power of negative 4 end exponent
w h e n space l e n g t h space l space equals 10 space m comma space R space equals space 5 space cross times 10 to the power of negative 4 end exponent comma space 9.8 cross times 10 to the power of negative 4 end exponent space minus space b cross times 10 space semicolon space h e n c e space b space equals space 4.8 cross times 10 to the power of negative 5 end exponent

A space equals space pi over 10 integral subscript 0 superscript 10 left parenthesis a minus b l right parenthesis squared d l space equals space 1.78 cross times 10 to the power of negative 6 end exponent m squared end style
 
Youngs modulus Y is given by
begin mathsize 12px style Y space equals space fraction numerator begin display style bevelled F over A end style over denominator begin display style bevelled fraction numerator delta l over denominator L end fraction end style end fraction space
F space equals space 3.14 space cross times space 9.8 space N

h e n c e space delta l space equals space fraction numerator F cross times L over denominator A cross times Y end fraction space equals space fraction numerator 3.14 cross times 9.8 cross times 10 over denominator 1.78 cross times 10 to the power of negative 6 end exponent cross times 2 cross times 10 to the power of 11 end fraction equals space 8.644 cross times 10 to the power of negative 4 end exponent space m end style
Answered by Expert 29th December 2017, 2:38 PM
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Tags: elasticity
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