Header Ads

A steel wire of length 7m and cross section 1mmsq is hung from a rigid support with a steel weight of volume 1000c.c hanging from the other end. Find the decrease in the length of wire, when steel weight is completely immersed in water. (Y for steel =2×10 to the power 11 N/metre sq)( density of water =1 g/c.c

July 28, 2018 0
L equals 7 m A equals 1 space m m squared equals 10 to the power of negative 6 end exponent m Y equals 2 cross times 10 to the power of 11 space N divided by m squared v o l u m e space o f space s t e e l space w t space equals 1000 space c c equals space v o l u m e space o f space w a t e r space d i s p l a c e d Y equals fraction numerator M g L over denominator A. l end fraction l equals fraction numerator M g L over denominator A Y end fraction equals i n c r e a s e space i n space l e n g h t space i n space a i r s i m i l i a r l y space l to the power of apostrophe equals fraction numerator M to the power of apostrophe g L over denominator A Y end fraction equals space i n c r e a s e space i n space l e n g h t space i n space w a t e r l minus l to the power of apostrophe equals fraction numerator left parenthesis M minus M to the power of apostrophe right parenthesis g L over denominator A Y end fraction equals space d e c r e a s e space i n space l e n g h t space U p space t h r u s t space equals space w e i g h t space o f space w a t e r space d i s p l a c e d equals space l o s s space o f space w e i g h t space o f space b o d y space i n space w a t e r D e n s i t y equals fraction numerator M a s s over denominator V o l u m e end fraction rho cross times V equals left parenthesis M minus M to the power of apostrophe right parenthesis left parenthesis M minus M to the power of apostrophe right parenthesis equals rho cross times V equals 1 cross times 1000 space g m equals space 1 space k g l minus l to the power of apostrophe equals fraction numerator left parenthesis M minus M to the power of apostrophe right parenthesis g L over denominator A Y end fraction equals fraction numerator 1 cross times 9.8 cross times 7 over denominator 10 to the power of negative 6 end exponent cross times 2 cross times 10 to the power of 11 end fraction equals fraction numerator 9.8 cross times 7 over denominator 2 cross times 10 to the power of 5 end fraction equals 4.9 cross times 7 cross times 10 to the power of negative 5 end exponent equals 34.3 space cross times 10 to the power of negative 5 end exponent m equals 0.34 space m m
Tags:

No comments

Subscribe to: Post Comments ( Atom )
Powered by Blogger.