Finding Direction of Boat Movement: Bearing Calculation

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SUMMARY

The discussion focuses on calculating the bearing of a boat moving with a constant velocity of -1 + 6j. The correct bearing is determined to be 351 degrees, which is calculated using anti-clockwise motion from the north. The confusion arises from the common misconception that bearings are always measured in a clockwise direction. The participants clarify that bearings are indeed taken in an anti-clockwise manner, and the angle can be accurately found using the arctan function for precise calculations.

PREREQUISITES
  • Understanding of vector notation and operations, specifically vector subtraction.
  • Familiarity with the concept of bearings and their measurement conventions.
  • Knowledge of trigonometric functions, particularly arctan for angle calculations.
  • Basic mechanics principles related to relative velocity.
NEXT STEPS
  • Study the concept of bearings in navigation and their measurement methods.
  • Learn about vector subtraction and its applications in physics.
  • Explore trigonometric functions and their use in calculating angles in various contexts.
  • Review relative velocity problems and their solutions in mechanics.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators looking to clarify concepts related to bearings and relative motion.

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Homework Statement


A boat is moving with constact velocity -1 + 6j.
Find the direction in which the boat is moving, giving your answer as a bearing.


The Attempt at a Solution



http://img483.imageshack.us/img483/2457/bearintgsxk3.jpg
Alpha is the bearing I want right?
In the mark scheme it says 351, its this because they take the bearing in an Anti Clockwise motion. The angle next to Alpha is 9 degrees by the way (rounded).

However, I always thought you ALWAYS take bearings in a clockwise motion?

Can someone please clear up my confusion?

Bearing seems to be my main weak point in Mechanics, and the test is tommorow :|.
Thanks in advance!

P.S: If you're doing the velocity of A relative to B. You minus B from A?
 
Last edited by a moderator:
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you want alpha + 180.
 
bearing are taken to be CCW
that is why u need alpha only not 180+alpha
also if u want an exact answer try using arctan

and velocity of A relative to B is A-B (yes u minus B from A) but use vector subtraction!
 
Last edited:

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