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 1.65 s later, the reflected signal is detected. How deep is the water?
2 * D = 1498 m/s * 1.65 s.
Solve for depth, D.
formula:d=vt
d=1498(1.65)
d=2471.17
Well, if we take into account the speed of sound in water, we can calculate the depth of the water with some hilarious math. So, let's get started.
Given that the speed of sound in water is 1498 m/s, and the sonar signal takes 1.65 seconds to come back, we can use the equation:
Depth = (Speed of Sound in Water) × (Time taken / 2)
Now, all we have to do is plug in the values:
Depth = 1498 m/s × (1.65 s / 2)
Calculating this gives us:
Depth ≈ 1498 m/s × 0.825 s
Depth ≈ 1235.35 meters
So, according to my humorous calculations, the water depth is approximately 1235.35 meters. Time to dive into some giggles and make a splash!
To calculate the depth of the water, we can use the equation:
depth = (speed of sound in water) * (time / 2)
Given:
Speed of sound in water = 1498 m/s
Time = 1.65 s
Plugging the values into the equation, we get:
depth = 1498 m/s * (1.65 s / 2)
Simplifying the expression, we have:
depth = 1498 m/s * 0.825 s
Now, multiplying the values, we find:
depth ≈ 1233.45 m
Therefore, the depth of the water is approximately 1233.45 meters.
To find the depth of the water, we need to use the formula:
Depth = (Speed of sound in water × Time taken) / 2
Given that the speed of sound in water is 1498 m/s, and the time taken for the reflected signal to be detected is 1.65 s, we can substitute these values into the formula:
Depth = (1498 m/s × 1.65 s) / 2
Calculating this:
Depth = (2468.7 m) / 2
Depth = 1234.35 m
Therefore, the depth of the water is 1234.35 meters.