Ocean Depth at 7.07s Echo Time - 1.22311 km

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In summary, a geological survey ship measures the time taken for an echo to return from the ocean floor to determine its depth. At a point where the echo time is 7.07 s, the ocean is approximately 1.22311 kilometers deep. However, the speed of sound in water is different from that in air, making the calculation more complex due to factors such as salinity and pressure. Submarines can take advantage of these changes in sound to hide from detection.
  • #1
mikefitz
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A geological survey ship mapping the floor of the ocean sends sound pulses down from the surface and measures the time taken for the echo to return. How deep is the ocean at a point where the echo time (down and back) is 7.07 s? The temperature of the seawater is 25°C. Find the answer in km

7.07 / 2 = 3.535 seconds to get from surface to ocean bedrock.
v = 331 + .6*25 = 346 m/s

3.535 * 346 = 1223.11 m ==> 1 223.11 meters = 1.22311 kilometers

This is wrong according to the online homework I'm doing?
 
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  • #2
Perhaps you need the speed of sound in sea water instead of air?
 
  • #3
Your math is correct as far as I can see. However... the equation you are using for the speed of sound is for air. It is different in water. The actual equation is very complex and dependent on salinity and pressure as well as temperture. You obviously were not given salinity and pressure varies with depth so maybe I am making this too complex. Ideas anyone?

Just for interest: Salinity changes in the oceans causes the sound to bend and reflect in an unpredictable manner. This allows subs to hide beneath various layers making sub hunting a very difficult problem.
 

Related to Ocean Depth at 7.07s Echo Time - 1.22311 km

1. What is the significance of the ocean depth at 7.07s Echo Time?

The ocean depth at 7.07s Echo Time is a measurement of the depth of the ocean at a specific point in time. It is often used in oceanographic studies to track changes in ocean depth over time.

2. How is ocean depth at 7.07s Echo Time measured?

The ocean depth at 7.07s Echo Time is measured using a device called a sonar, which uses sound waves to determine the distance to the ocean floor. The time it takes for the sound waves to travel to the ocean floor and back is used to calculate the depth.

3. What is the standard unit for measuring ocean depth?

The standard unit for measuring ocean depth is meters (m). However, in some cases, kilometers (km) may also be used, as in the case of the ocean depth at 7.07s Echo Time.

4. What is the average ocean depth at 7.07s Echo Time?

The average ocean depth at 7.07s Echo Time varies depending on the location and depth of the ocean. In general, the average ocean depth at this Echo Time is between 1 to 2 kilometers.

5. How does the ocean depth at 7.07s Echo Time affect marine life?

The ocean depth at 7.07s Echo Time can have a significant impact on marine life. Changes in ocean depth can affect the distribution of nutrients and sunlight, which can in turn affect the survival and reproduction of marine organisms. Additionally, changes in ocean depth can also affect ocean currents and temperature, which can have a cascading effect on the entire marine ecosystem.

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