A submarine sonar system sends a burst of sound with a frequency of

In summary, the submarine's sonar system sends a burst of sound with a frequency of 325Hz and a wavelength of 4.71m. The sound wave bounces off an underwater rock face and returns to the submarine in 8.50s. Using the formula v=fλ, we can calculate the velocity of the sound to be 1530.75m/s. Then, using the formula d=vt, we can determine the distance to the rock face to be 6.51km, taking into account that the sound makes a round trip.
  • #1
k0k
13
0
A submarine sonar system sends a burst of sound with a frequency of 325Hz. The sound wave bounces off an underwater rock face and returns to the submarine in 8.50s. If the wavelength of the sound is 4.71m, how far away is the rock face? (Ans: 6.51km )

--
v=fλ

λ=wavelength
f=frequency
v=velocity
--
v=fλ
v=325Hz X 4.71m
=1530.75m/s

v=d/t
d=vt
= 1530.75m/s X 8.50s
=13011.375m
=13011.375m/2
=6505.6875m

=6.51km.

What exactly am I doing wrong here? ..
 
Last edited:
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  • #2


k0k said:
v=dt
d=v/t
This is not correct. What's the definition of speed? (When in doubt, check the units.)

Also: Don't forget that the sound makes a round trip.
 
  • #3


Oh, my bad, a silly error. I got it now. Thanks for the tip on sound making a round trip. : )
 

What is a submarine sonar system?

A submarine sonar system is a type of technology used by submarines to detect and locate objects underwater. It works by sending out sound waves and then analyzing the echoes that bounce back from objects in the water.

What is the purpose of a submarine sonar system?

The main purpose of a submarine sonar system is to help submarines navigate and avoid obstacles in the water. It is also used for detecting other submarines or ships, as well as underwater hazards like icebergs or mines.

What is the frequency of the sound used in a submarine sonar system?

The frequency of the sound used in a submarine sonar system can vary, but it is typically between 20-200 kHz. This frequency range is well-suited for detecting objects in the water and is also within the hearing range of most marine animals.

How does a submarine sonar system send and receive sound waves?

A submarine sonar system sends out a burst of sound waves, also known as a ping, and then listens for the echoes that bounce back. The system's transducer, which is a specialized device, both sends and receives the sound waves.

What factors can affect the accuracy of a submarine sonar system?

The accuracy of a submarine sonar system can be affected by various factors, including water temperature, salinity, and depth. Interference from other sound sources, such as marine animals or other ships, can also impact the accuracy of the system.

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