Calculating Boat's Bearing After Changing Direction: Scalar and Vector HELP

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Discussion Overview

The discussion revolves around calculating the bearing of a boat after it changes direction, involving both scalar and vector components. Participants explore the application of physics concepts, particularly in relation to bearings, displacement, and the use of diagrams to represent the problem.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents a problem involving a boat's initial bearing of 25 degrees east of north, its speed, and subsequent change in direction to 180 degrees.
  • Another participant suggests that the original poster should attempt the problem and clarify what specific aspects are challenging.
  • A participant expresses confusion about using scales for the diagram due to the use of knots and time in hours, indicating difficulty in arriving at a correct answer.
  • It is proposed that the choice of units (nautical miles or kilometers) does not affect the resulting angle as long as consistency is maintained.
  • Participants discuss the use of time as a scale representation for the vector diagram, with one participant affirming this approach after initial correction.
  • A later reply indicates that the original poster arrived at a bearing of 60 degrees east of north, expressing gratitude for the assistance received.

Areas of Agreement / Disagreement

There is no explicit consensus on the final answer, as the original poster claims to have found a reasonable answer, but the correctness of this answer is not confirmed by others in the discussion.

Contextual Notes

Participants mention the importance of maintaining consistent units in calculations and the potential for confusion arising from the conversion between knots and kilometers per hour. The discussion reflects varying levels of understanding and assumptions about the problem.

Who May Find This Useful

This discussion may be useful for individuals learning about vector representation in physics, particularly in the context of navigation and bearings, as well as those seeking assistance with similar homework problems.

IdleTorque
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Scalar and Vector HELP please

A boat is traveling on a bearing of 25 degrees east of north at a speed of 5 knots ( a knot is 1.852km/hr). After traveling for 3 hours, the boat heading is changed to 180 degrees and it travels for a further 2 hours at 5 knots. What is the boat's bearing from its original position?

Someone help me.
 
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Welcome to PF. If you missed reading the rules go and do so. Basically, you have to attempt a problem and show what it is that is giving you trouble. For a problem like this, it is a good idea to draw a diagram that represents the facts of the stated problem. From there, explain what is giving you fits.
 


oh I'm new here and also new to physics..

I've drawn the diagram but Idk what scales to use cause how they using Knots and time in hours, and they also stating the conversion from knots to km/hr. I've tried a lot of assumptions but I just don't seem to get a right answer.
 


Since the answer is looking for a bearing, it does not matter if your displacement is in nautical miles or kilometers [EDIT: as long as you pick one and stay consistent with your choice] . the resulting angle will be the same. Nautical miles = knots * hours. What numbers are you getting and how are you getting them?
 
Last edited:


so use time as my scale representation? This should solve my question?
 


Your vector diagram should show 2 displacement vectors (please show if you can) which should be on a coordinate system with units (scale representation) of nautical miles OR km.
 


I stand corrected. Since the speed of the boat is constant, you could use time as your units on your diagram.
 


oho thanks for clearing it up for me. I got a reasonable answer which I believe is correct

A bearing of 60 degrees East of North.

Thank you oh great one.. Thank you very much
 

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