The speed of sound in water is 1498 m/s. A sonar signal is sent straight down from a ship at a point just below the water surface, and 1.62 s later, the reflected signal is detected. How deep is the water?
To determine the depth of the water using the speed of sound and the time it takes for the signal to travel, you can use the formula:
Depth = (Speed of Sound) × (Time) / 2
In this case, the speed of sound in water is given as 1498 m/s, and the time it takes for the signal to travel is 1.62 s.
Using the formula:
Depth = (1498 m/s) × (1.62 s) / 2
Depth = 2421.76 / 2
Depth = 1210.88 m
Therefore, the depth of the water is approximately 1210.88 meters.