# Sudmarine sonar/distance problem

• brick
In summary, using the equation v=d/t and the given information, it was determined that the submarine would reach the battleship in approximately 1226.4 seconds. The battleship's speed was also calculated to be 10 m/s, assuming no change in course or speed for either vessel. However, it is important to consider that both ships are in motion during the time the ping emits and is detected, so the actual distance and time may differ.
brick

## Homework Statement

A submarine pings its sonar and 9 seconds later hears an echo, the signature of which indicates a battleship. Ten seconds later, the ping takes 8 seconds to echo back. The submarine is traveling at 10 m/s towards the battleship. The battleship is directly in front of the submarine, traveling at the same bearing, at an unknown speed. The salt water is at a temp of 20 degrees C. How long until the sub is directly below the battleship, assuming no change in course or speed in either vessel? What is the speed of the battleship?

## Homework Equations

Sound travels in the salt water at 1533 m/s at 20 degrees C.
V= d/t
I am sure there are more but that is what i used

## The Attempt at a Solution

1.) v=d/t
1533 = d/8
d = 1533 * 8
d = 12264 m

2.)
v = d/t

10 m/s = 12264 m/t
t = 12264 / 10
t = 1226.4 seconds time for the sub to reach the battleship

3.) v=d/t
v = 12,264 m / 1226.4 s

v= 10 m/s for the battleship speed which this is where i am getting hung up on i don't believe this is right cause it has the same velocity as the sub. Any help would be appreciated thank you.

Keep in mind that both ships are in motion during the time the ping emits to when it is detected.

Hence the distance the ping travels is the distance between the 2 plus the distance the battleship moved until pinged and then the distance covered back to the sub by the echo is diminished by the distance the sub has traveled until reception.

I would first clarify the problem statement and ask for more information. For example, what is the distance between the submarine and the battleship when the first ping is sent? Is the submarine traveling in a straight line towards the battleship or is it changing direction? Is the battleship also traveling in a straight line or is it changing direction? Are there any other factors that could affect the speed and direction of the two vessels, such as ocean currents or wind?

Without this additional information, it is difficult to accurately solve the problem and determine the speed of the battleship. However, based on the given information, it seems that the submarine is traveling at a constant speed of 10 m/s towards the battleship and the battleship is also traveling at a constant speed, which can be assumed to be equal to the speed of the submarine. In this case, the distance between the two vessels will decrease at a rate of 20 m/s (10 m/s from the submarine and 10 m/s from the battleship).

To find the time until the submarine reaches directly below the battleship, we can use the equation v=d/t, where v is the relative speed between the two vessels (20 m/s) and d is the initial distance between the two vessels (unknown). We can also use the equation d=vt to find the distance traveled by the submarine in the time it takes for it to reach directly below the battleship. Setting these two equations equal to each other, we get t=d/20 m/s.

To find the speed of the battleship, we can use the equation v=d/t, where v is the speed of the battleship and d is the distance traveled by the battleship in the same time it takes for the submarine to reach directly below it. Again, setting this equation equal to the previous one, we get v=d/20 m/s. However, since we do not know the distance d, we cannot accurately determine the speed of the battleship.

In conclusion, more information is needed to accurately solve this problem and determine the speed of the battleship. I would also consider other factors such as ocean currents and wind, and their potential impact on the speeds and directions of the two vessels.

## What is a Sudmarine sonar/distance problem?

A Sudmarine sonar/distance problem refers to the issue of accurately determining the distance between a submarine and another object using sonar technology. It is a common problem that arises due to various factors such as water temperature, salinity, and ocean currents, which can affect the speed of sound in water and therefore impact the accuracy of sonar readings.

## How does sonar technology work in submarines?

Sonar technology in submarines involves emitting sound waves at a specific frequency and listening for the echoes that bounce back from objects in the water. By measuring the time it takes for the echo to return, the distance to the object can be calculated. This information is then used to create a sonar image, allowing the crew to identify potential threats or obstacles in the water.

## What are some of the factors that can affect sonar accuracy in submarines?

There are several factors that can affect the accuracy of sonar readings in submarines, including water temperature, salinity, and ocean currents. These factors can cause sound waves to travel at different speeds, which can result in incorrect distance calculations. Additionally, the shape and composition of the object being detected can also impact the accuracy of sonar readings.

## How do scientists address the Sudmarine sonar/distance problem?

Scientists use a variety of techniques to address the Sudmarine sonar/distance problem, including calibrating sonar equipment, taking into account environmental factors, and using advanced algorithms and software to calculate more accurate distance readings. They also conduct extensive testing and research to continuously improve sonar technology and reduce the impact of these factors on sonar accuracy.

## What are the potential consequences of inaccurate sonar distance readings in submarines?

Inaccurate sonar distance readings in submarines can have serious consequences, such as collisions with other vessels or underwater objects, which can lead to damage to the submarine and potential loss of life. It can also affect the ability of submarines to navigate and complete their missions effectively. Therefore, addressing the Sudmarine sonar/distance problem is crucial for the safety and success of submarine operations.

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