Question

A sonar on a submarine sends out a signal and receives and echo 10s late. Calculate the speed of sound in water if the distance of the object from the submarine is 5725 m

Answer 1

As per the question , the Sonar on the submarine sends out a signal and receives the echo after 10 seconds. The depth of object in water from submarine is 5725 m.

To find:

Speed of sound in water.

Concept:

The Sonar produces sound waves which travels towards the object located at a particular depth in the ocean. After getting reflected from that object the sound waves again travel afterwards gets received at the receiver of the Sonar

So , sound waves actually travel voice the distance of the object from the submarine.

Calculation:

Let depth be d :

$distance \: travelled = 2d$

$= >( v \times t) =( 2 \times 5725)$

$= > v = \dfrac{5725 \times 2}{10}$

$= > v = 1145 \: m {s}^{ - 1}$

So final answer is :

Velocity of sound in water is 1145 m/s.

Answer 2

GiVEN QuESTiON :

A sonar on a submarine sends out a signal and receives and echo 10s late.

To FiND:

Speed of sound in water if the distance of the object from the submarine is 5725 m.

FoRMuLa UsEd :

Vt = 2d, where V is the speed of the echo, t is the time and d is the distance.

Concept :

SONAR waves produces sound of high frequency which is lot more than the audible sound range.

These SONAR waves are used in submarines and ships to detect the lost objects inside deep sea as these waves create echo that comes back and is detected by sonography.

Solution :

Vt = 2d

V ×10 = 2× 5725

V = (2×5725)÷10

V = 1,145 ms¯¹.

Therefore, the speed of sound will be 1,145 ms¯¹.