A sailor strikes the side of his ship just below the surface of the sea. He hears the echo of the wave reflected from the ocean floor directly below 3.88 s later. If the speed of sound in seawater is 1560 m/s, How deep is the ocean at this point?
d = 1560m/s * (3.88s/2) = 3026.4 m.
NOTE: 3.88 s = Time to travel to bottom
of ocean and return.
To calculate the depth of the ocean at this point, we need to use the equation:
Depth = (Speed of Sound * Time) / 2
In this case, the time is the total round trip time for the sound wave, which includes the time it takes for the sound to reach the ocean floor and then return back to the surface.
Given that the total time is 3.88 seconds and the speed of sound in seawater is 1560 m/s, we can substitute these values into the equation:
Depth = (1560 m/s * 3.88 s) / 2
Simplifying this equation, we get:
Depth = 3019.2 m / 2
Depth = 1509.6 m
Therefore, the ocean is approximately 1509.6 meters deep at this point, just below the surface where the sailor struck the ship.
To find the depth of the ocean at this point, we can use the formula:
Depth = (Speed of Sound * Time) / 2
Given that the speed of sound in seawater is 1560 m/s and the time for the echo to return is 3.88 s, we can substitute these values into the formula:
Depth = (1560 * 3.88) / 2
Calculating this expression gives us:
Depth = 6038.4 / 2
Depth = 3019.2 meters
Therefore, the ocean is approximately 3019.2 meters deep at this point.