How long will it take for the echo to return

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SUMMARY

The discussion centers on calculating the time it takes for a sonar echo to return to a submarine after sending out a wave with a frequency of 545 Hz and a wavelength of 2.60 m. The initial calculation mistakenly determined the period of one wavelength instead of accounting for the total distance traveled (11 km) for the echo. The correct approach involves recognizing that the sound wave travels to the reflecting object and back, leading to a total time of approximately 7-8 seconds for the echo to return.

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Homework Statement


A submarine sends out a sonar wave that has
a frequency of 545 Hz. If the wavelength of the
sound is 2.60 m, how long does it take for the
echo to return when the sound is reflected from
a submarine that is 5.50 km away?

Homework Equations

The Attempt at a Solution


i used the equation p=1/f and i plugged in frequency and got 0.00183 seconds, the right answer should be around 7-8 seconds
 
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rrosa522 said:

Homework Statement


A submarine sends out a sonar wave that has
a frequency of 545 Hz. If the wavelength of the
sound is 2.60 m, how long does it take for the
echo to return when the sound is reflected from
a submarine that is 5.50 km away?

Homework Equations

The Attempt at a Solution


i used the equation p=1/f and i plugged in frequency and got 0.00183 seconds, the right answer should be around 7-8 seconds

Well let's see here. Is it perhaps you calculated the period of one wavelength and overlooked the fact that it takes more than one wave of length 2.60 m to cover the distance of 5.50 km to the object and then 5.50 km back again to the sub?
 
SteamKing said:
Well let's see here. Is it perhaps you calculated the period of one wavelength and overlooked the fact that it takes more than one wave of length 2.60 m to cover the distance of 5.50 km to the object and then 5.50 km back again to the sub?
thank you so much, i finally got the right answer!
 

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