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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.


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Solution

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=Totaldistancetraveledbyabodytotaltimetaken.

Step 3: Diagram

Step 4: Finding the speed

The total distance traveled by sound waves is

D=dDuetotransmission+dDuetoreceptionorD=2d=2×3625orD=7250m

So,

Speed=TotaldistancetraveledbyabodytotaltimetakenorSpeed=72505=1450orSpeed=1450m/s.

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


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