Question

A sonar device on a submarine sends out a signal and receives an echo $5s$ later. Calculate the speed of sound in water if the distance of the object from the submarine is $3625m$.

Answer 1

Step 1: Given data

The time of travel of sound waves is $5s$.

The distance traveled by sound submarine to the object is $3625m$.

Step 2: Speed

Speed is the time rate of change in distance.

$Speed=\frac{Totaldis\tan cetraveledbyabody}{totaltimetaken}.$

Step 3: Diagram

Step 4: Finding the speed

The total distance traveled by sound waves is

$$\begin{gathered} D=d\left(Duetotransmission\right)+d\left(Duetoreception\right) \\ orD=2d=2\times 3625 \\ orD=7250m \end{gathered}$$

So,

$$\begin{gathered} Speed=\frac{Totaldis\tan cetraveledbyabody}{totaltimetaken} \\ orSpeed=\frac{7250}{5}=1450 \\ orSpeed=1450m/s. \end{gathered}$$

Therefore, the speed of sound in water $1450m/s.$