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ques7

Asked by rbhatt16 27th December 2017, 11:45 PM
Answered by Expert
Answer:
Youngs modulus Y is given by

begin mathsize 12px style Y space equals space fraction numerator S t r e s s over denominator S t r a i n end fraction space equals space fraction numerator begin display style bevelled fraction numerator F o r c e over denominator A r e a end fraction end style over denominator begin display style bevelled fraction numerator delta l over denominator L end fraction end style end fraction

F o r c e space equals space c e n t r i p e t a l space f o r c e space equals space m omega squared L space equals space 1 space cross times 20 cross times 20 cross times 1 space equals space 400 space N
A r e a space equals space 10 to the power of negative 6 end exponent
delta l space equals space e l o n g a t i o n space o f space w i r e space d u e space t o space s t r e s s space equals space 10 to the power of negative 3 end exponent m
L space equals space l e n g t h space o f space w i r e space equals space 1 space m
Y space equals space fraction numerator 400 over denominator 10 to the power of negative 3 end exponent cross times 10 to the power of negative 6 end exponent end fraction space equals space 4 cross times 10 to the power of 7 space N divided by m squared end style
 
Breaking stress due to angular speed 100 rad/s is given by
 
begin mathsize 12px style B r e a k i n g space S t r e s s space equals space fraction numerator F o r c e over denominator A r e a end fraction space equals space fraction numerator m omega squared L over denominator A r e a end fraction space equals space fraction numerator 1 cross times 100 cross times 100 cross times 1 over denominator 10 to the power of negative 6 end exponent end fraction space equals space 10 to the power of 10 space N divided by m squared end style
 
Hence option (A) is to be selected
Answered by Expert 29th December 2017, 1:08 PM
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Tags: elasticity
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