Finding Direction of Boat Movement: Bearing Calculation

In summary, the conversation discusses finding the direction in which a boat is moving with a constant velocity of -1 + 6j. The recommended method is to use the bearing, with the angle next to alpha being 9 degrees and the bearing being taken in a counterclockwise motion. There is some confusion about whether bearings should always be taken in a clockwise motion, but it is confirmed that for this problem, the bearing should be taken in a counterclockwise motion. The formula for finding the velocity of A relative to B is A-B, using vector subtraction.
  • #1
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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?
 
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  • #2
you want alpha + 180.
 
  • #3
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:

1. What is the purpose of calculating the bearing of a boat's movement?

Calculating the bearing of a boat's movement helps determine its direction and location in relation to a starting point. This information is important for navigation and avoiding obstacles.

2. How is the bearing of a boat's movement calculated?

The bearing of a boat's movement is calculated using trigonometry and the coordinates of the starting point and the boat's current location. It involves finding the angle between the boat's direction and true north or another reference point.

3. What factors can affect the accuracy of the bearing calculation?

Factors such as wind, current, and variations in the boat's speed can affect the accuracy of the bearing calculation. In addition, errors in measurements or calculations can also impact the accuracy.

4. Can the bearing of a boat's movement be calculated while the boat is in motion?

Yes, the bearing of a boat's movement can be calculated while the boat is in motion. However, it is important to have accurate and updated data on the boat's location and speed to ensure the calculation is accurate.

5. Are there any tools or devices that can assist with calculating the bearing of a boat's movement?

Yes, there are various tools and devices such as compasses, GPS systems, and navigation software that can assist with calculating the bearing of a boat's movement. These tools can provide more accurate and precise calculations compared to manual methods.

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