An oceanic depth-sounding vessel surveys the ocean bottom with ultrasonic waves that travel 1530 m/s in seawater. How deep in meters is the water directly below the vessel if the time delay of the echo to the ocean floor and back is 6.8 s?
To find the depth of the water directly below the vessel, we can use the formula:
Depth = (Speed of sound in water * Time delay) / 2
Given:
Speed of sound in water = 1530 m/s
Time delay = 6.8 s
Plugging in the values:
Depth = (1530 * 6.8) / 2
Solving this equation:
Depth = 5202 meters
Therefore, the depth of the water directly below the vessel is 5202 meters.
To find the depth of the water directly below the vessel, we can use the speed of sound in seawater and the time delay of the echo.
The formula to calculate distance is: Distance = Speed x Time
In this case, the speed of sound in seawater is given as 1530 m/s, and the time delay of the echo is given as 6.8 seconds.
Plugging these values into the formula, we get:
Distance = 1530 m/s x 6.8 s
Calculating this, we find:
Distance = 10,404 m
Therefore, the water directly below the vessel is approximately 10,404 meters deep.