Motion into direction ship problem

In summary, the problem involves finding the distance between a ship and transmitter B, which is due east and 100 km apart from transmitter A, which is located 30 degrees south of east. Using the definition of the tangent function, the distance is calculated to be 173 km.
  • #1
sweet_girl123
9
0

Homework Statement


You are the navigator of a ship at sea. You receive radio signal from 2 transmitters A & B which are 100 Km apart, one due south of other. The direction finder shows you that transmitter A is at a heading of 30 degree south of east from the ship. while transmitter B is due east. Calculate the distance between you ship and transmitter B.

Homework Equations


None


The Attempt at a Solution


Doesnot get the question . nt able to set up a diagram
 
Physics news on Phys.org
  • #2
Welcome to PF, sweet_girl123! :smile:

Can you draw a triangle with A, B and the ship on the corners?

You have a number of clues what the triangle looks like.
I'll order them a bit for you:
1. B is due east of the ship, so B is to the right of the ship.
2. either A or B is due south of the other, so they are both on a vertical line.
3. A is 30 degrees down. This also means that A is below B.
4. A and B are 100 km apart.

Can you make a triangle of that?

After that we'll try to see what the requested distance is.
 
  • #3
jjqq8m.png


This is what i think the triangle should be like...B to the east (Right) of ship and A to the south 30 degrees down.
 
  • #4
Good! :smile:
And I like your picture!

Now the problem asks for "the distance between the ship and transmitter B."

For this you'd need the definition of the tangent function and apply it to what you know.
Do you know the definition of the tangent function?
 
  • #5
I got the answer
tan(30)=100/x
solving the equation for 'x' we get
X= 173 km
 
  • #6
Yep! :smile:

It seems you hardly needed help at all! :wink:
 

1. What is the motion into direction ship problem?

The motion into direction ship problem, also known as the ship navigation problem, is a mathematical problem that involves determining the trajectory of a ship based on its initial position, speed, and direction, as well as external factors such as wind and currents. It is an important problem in navigation and has applications in shipbuilding and marine engineering.

2. How is the motion into direction ship problem solved?

The motion into direction ship problem is typically solved using mathematical equations and principles of physics, such as Newton's laws of motion and vector calculus. Advanced techniques, such as differential equations and numerical methods, may also be used to solve more complex scenarios.

3. What are the main challenges of solving the motion into direction ship problem?

One of the main challenges of solving the motion into direction ship problem is accounting for external factors such as wind, currents, and waves, which can greatly affect the trajectory of a ship. Another challenge is accurately measuring the initial conditions of the ship, as small errors in measurements can lead to significant differences in the calculated trajectory.

4. What are some real-world applications of the motion into direction ship problem?

The motion into direction ship problem has many real-world applications, such as in the design and construction of ships, navigation systems for ships and boats, and predicting the movement of oil spills and other pollutants in the ocean. It is also used in maritime search and rescue operations and in the simulation of ship movements for training purposes.

5. Are there any limitations to the solutions of the motion into direction ship problem?

While the solutions to the motion into direction ship problem are based on mathematical models and principles, they may not always accurately reflect the real-world conditions and movements of a ship. Factors such as human error, unexpected weather conditions, and limitations in measurement technology can all affect the accuracy of the calculated trajectory. Therefore, it is important to use the solutions as a guide and continuously monitor and adjust for any deviations from the predicted trajectory.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
3
Views
2K
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
13
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Sci-Fi Writing and World Building
2
Replies
52
Views
4K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
4K
Back
Top