What angle should the bird head?

AI Thread Summary
To determine the angle a Canada goose should fly to maintain a direct southward path against a 34 km/h east wind while flying at 100 km/h, vector analysis is required. The calculation involves finding the resultant angle relative to the north-south direction, leading to an angle of approximately 19.9 degrees east of south. The discussion highlights the importance of understanding vector components and their application in real-world scenarios. Additionally, the flying speed of 100 km/h for Canada geese was confirmed as accurate. Mastery of vector concepts is emphasized for solving such problems effectively.
Junjou
Messages
2
Reaction score
0

Homework Statement


Canada geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. The one goose is flying at 100 km/h relative to the air but a 34 km/h wind is blowing from west to east.

At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?

Homework Equations

The Attempt at a Solution


Set it up the following way and got about 70.1, subtracted that from 90 and got 19.9. Can somebody check my work to make sure I did it correctly?
BF2LJ9Z.png
 
Last edited:
Physics news on Phys.org
Do you know anything about vectors?
 
We're currently learning vectors right now, but I've been struggling with it because of angles and the mess of formulas. I'm just not sure how to place the vector for the 100 km/h bird.
 
Looks like you got it.
 
Just in case you have to enter this in a computer or something: they ask for the angle wrt north-south, not for the angle wrt west...
 
I thought a flight speed of 100 km/h for a Canada goose was preposterous, until I looked it up... :))
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

What Angle Should the Goose Fly to Head Directly Southward?
Replies
8
Views
4K
Plane Traveling against the wind
Replies
4
Views
1K
1-D Kinematics: Trains and a bird
Replies
20
Views
3K
Vectors and Angles in Helicopter Flight
Replies
5
Views
1K
How to Calculate the Bird's Net Displacement Using Vector Addition?
Replies
3
Views
1K
Thoughts Experiment about Frame of References
Replies
2
Views
1K
Relative velocity passing a ball between two soccer players
Replies
5
Views
2K
Time to cover a ground distance.
Replies
2
Views
5K
River question (looking for angles and headings)
Replies
8
Views
2K
Calculating Flight Time for Birds in Windy Conditions
Replies
2
Views
19K

Hot Threads

Recent Insights

Back
Top