Calculating Velocity of River and Boat

Click For Summary
SUMMARY

The discussion focuses on calculating the velocity of a river and a boat navigating across it. The river flows at 90 degrees, while the boat is steered at 297 degrees, achieving a net velocity of 6 m/s across the river. Participants confirm that the scenario can be modeled as a right triangle, where the hypotenuse represents the boat's velocity, and the two legs represent the river's velocity and the net velocity. The sine rule is suggested for determining the angles and velocities involved.

PREREQUISITES
  • Understanding of vector components in physics
  • Knowledge of trigonometric functions, specifically the sine rule
  • Familiarity with right triangle properties
  • Basic skills in drawing free body diagrams
NEXT STEPS
  • Study vector addition and resolution of forces in physics
  • Learn about the sine rule and its applications in non-right angled triangles
  • Explore the properties of right triangles and Pythagorean theorem
  • Practice drawing and analyzing free body diagrams for various scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators looking for practical examples of applying trigonometry in real-world scenarios.

tregeat
Messages
4
Reaction score
0

Homework Statement


A river flows toward 90 degrees. A river boat pilot heads the boat at 297 degrees and is able to go straight across the river at 6 m/s.


Homework Equations


What is the velocity of the current?
What is the velocity of the boat?


The Attempt at a Solution


I drew a free bodied diagram but i don't know what to put where.
 
Physics news on Phys.org
now the first question you have to ask yourself is the angle between the the direction in which the boat is steered and the direction of the river flow.

once you have done this, the velocities can be easily found by sine rule in a non-right angled triangle.
 
k thanks.
 
wait so i found the angle between the current and the boat but what are the other two angles?
 
tregeat said:
wait so i found the angle between the current and the boat but what are the other two angles?

It's actually a right triangle... the hypoteneuse is the velocity of the boat... the two legs of the right triangle are the river velocity and the net velocity of 6m/s to the right.
 
thanks
 
learningphysics said:
It's actually a right triangle... the hypoteneuse is the velocity of the boat... the two legs of the right triangle are the river velocity and the net velocity of 6m/s to the right.

oh yeh its a right angled tiangle, how could i have missed that haha i guess i was feeling too sleepy
 

Similar threads

Replies
25
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
10K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 6 ·
Replies
6
Views
4K