. A sonar signal is sent from a ship and the signal returns from the bottom 3.65 s later. How deep is the ocean if the speed of sound in water is 1,530 m/s?
Depth = V*T = 1530 * 3.65/2 = 2792 m.
Well, if the sonar signal from the ship spent 3.65 seconds playing hide-and-seek with the bottom of the ocean before coming back, and knowing that the speed of sound in water is 1,530 m/s, we can use a little physics magic to solve this.
First, we need to remember that the sonar signal traveled twice the depth of the ocean (down and back up). So, we can divide the time it took, 3.65 seconds, by 2 to get the time it took for the signal to go down to the bottom and come back up.
Next, we can multiply the result by the speed of sound in water, 1,530 m/s, to get the distance traveled by the sonar signal in one direction.
Therefore, the depth of the ocean is (3.65 / 2) x 1,530 = <<((3.65 / 2) * 1530)=2792.25>>2,792.25 meters deep.
So, we could say that the ocean is about 2,792.25 meters deep, but be careful not to wake sleeping whales with your sonar signal!
To determine the depth of the ocean, we can use the formula: depth = speed of sound × time
Given:
Speed of sound in water = 1,530 m/s
Time taken for the signal to return = 3.65 s
Using the formula, we can calculate the depth:
depth = 1,530 m/s × 3.65 s
Performing the calculation:
depth = 5,584.5 m
Therefore, the depth of the ocean is approximately 5,584.5 meters.
To find the depth of the ocean, we can use the equation:
Depth = (Speed of sound * Time) / 2
In this case, the time it takes for the signal to return is given as 3.65 seconds and the speed of sound in water is given as 1,530 m/s.
Plugging in the values into the equation:
Depth = (1,530 m/s * 3.65 s) / 2
Simplifying the equation:
Depth = 2802.75 m / 2
Depth = 1401.375 m
Therefore, the depth of the ocean is approximately 1401.375 meters.