369 minus 4An oceanic depth-sounding vessel surveys the ocean bottom with ultrasonic sound that travels 1530 m/s in seawater, and finds a 10-second time delay of the echo to the ocean floor and back. The ocean depth there is__________.
Physics · High School · Thu Feb 04 2021
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Answer: To calculate the ocean depth, we can use the speed of the sound and the time it takes for the echo to travel to the ocean floor and back to the vessel.
The time delay given is for the sound to travel to the ocean floor and then back up to the vessel, so the actual time to reach the ocean floor is half of the total time delay.
Time to reach the ocean floor = Total time delay / 2 Time to reach the ocean floor = 10 seconds / 2 Time to reach the ocean floor = 5 seconds
Now, we can calculate the distance the sound traveled to reach the ocean floor using the speed of sound in seawater.
Distance = Speed × Time Distance = 1530 m/s × 5 s Distance = 7650 m
So, the ocean depth at that point is 7650 meters.