Mechanical Properties of Fluids

Question

Compressional wave impulses are sent to the bottom of sea from the ship and the echo is heard after 1.8s. Find the depth of sea. Assume that the density of sea water is 1000kg/m³ and bulk modulus of water is 2.25 x 10⁹ N/m².

Solution

Given here,
$Density space of space sea space water comma space straight rho equals 1000 space kg divided by straight m cubed space Bulk space modulus space of space water comma space straight E space equals space 2.25 space cross times space 10 to the power of 9 straight N divided by straight m squared$
Therefore velocity of sound in sea water is,
$straight v equals square root of straight E over straight rho end root space equals space square root of fraction numerator 2.25 cross times 10 to the power of 9 over denominator 1000 end fraction end root space equals space 1500 space straight m divided by straight s$
Let d be the depth of the sea.
As the echo is heard after 1.8s, therefore the wave travels 2d distance in water in time 1.8s,
i.e. $space space space space space space space space space space space 2 straight d space equals space vt$
$rightwards double arrow$ $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

For Daily Free Study Material Join wiredfaculty