Saved Bookmarks
| 1. |
A steel cable of diameter 3cm is kept under a tension of 10KN. The densityof steel is7.8 g// cm^(3).With what speed would transverse waves propagate along the cable ? |
|
Answer» Solution :`T= 10 kN= 10^(4) N` `D = 3cm , r= (D)/(2) = (3)/(2)CM= (3)/(2) xx10^(-2) cm ,` `A =pir^(2) = (22)/( 7) xx[ (3)/(2) xx10^(-2)] ^(2)` `:. A= (22)/( 7)xx(9)/(4) xx10^(-4) m^(2) , RHO = 7.8 G //cm^(3) ` `= 7.8 xx 10^(3) kg//m^(3)` ` V= sqrt((T)/( mu ))=sqrt(( T )/( A_(rho)))` `= sqrt((10^(4))/(((22)/(7)) xx((9)/(4)) xx10^(-4) xx7.8xx 10^(3)))` ` :. v=42.6 m //s ` |
|