How Fast Do Sound Waves Travel in Ocean Water?

AI Thread Summary
Sound waves travel in ocean water at a calculated speed of approximately 762.35 m/s based on sonar measurements from a stationary research ship. The distance to the ocean bottom is 324 meters, requiring a round trip calculation for accurate speed determination. The period of the sound wave is found to be 0.000847 seconds using the frequency of 1.18 × 10^3 Hz. It is emphasized that for such calculations, focusing on distance and time is more relevant than using formulas involving frequency or wavelength. This discussion clarifies the methods for calculating sound wave speed and period in ocean water.
ode19
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1. A stationary research ship uses sonar to send a 1.18 × 103-hertz sound wave down
through the ocean water. The reflected sound wave from the flat ocean bottom 324 meters
below the ship is detected 0.425 second after it was sent from the ship.
a. Calculate the speed of the sound wave in the ocean water.
b. Calculate the speed of the sound wave in the ocean water
c. Determine the period of the sound wave in the ocean water.

2. a. wavelength= velocity*Period
b. v=d/t
c. Period= 1/Frequency
3. w=vT= (distance/time)/(Frequency)= d/(tf) and i got .6461 meters
b. i assumed its just distance/time and got 762.353 m/s
c. i used the equation Period= 1/Frequency and i got .000847
 
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Welcome to PF, ode19.
The velocity is found from timing the leading edge of the pulse down and back up. Use v = d/t with a distance to 2x324 meters because it has to go down and back up.
Avoid using any formula with frequency, period or wavelength in it for this kind of question - it does not matter what those are in a question like (b) where you are only concerned with the motion of the pulse or beginning of a train of waves.
 
Thank you very much.
I now understand the question. I appreciate it.
 
Most welcome.
 
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