Vector airplane flying with a side wind

AI Thread Summary
An airplane with an airspeed of 145 km/h is set to fly at a heading of 72 degrees while facing a 32 km/h wind from 342 degrees. The discussion clarifies that in navigation, headings are measured clockwise from true north, which explains the 72-degree angle from north rather than east. Additionally, wind direction is indicated by the origin, meaning a wind from 342 degrees is coming from the northwest. This understanding is crucial for accurately determining the airplane's actual heading in relation to the wind. The conversation emphasizes the importance of recognizing these conventions in vector problems.
calc3varbrg9e
Messages
7
Reaction score
0

Homework Statement



An airplane has an airspeed of 145 km/h. it is to make a flight in a direction of 72 degees while there is a 32-km/h wind from 342 degrees. what will the airplane's actual heading be?

Homework Equations



trig functions

The Attempt at a Solution



this is a calc3 class using the varberg 9th edition textbook and the class uses an online program called math lab which is provided by the textbook and therefore all the online material directly relates to the text... So I am on chapter 11 dealing with vectors... Specifically 3D vectors... however this appears to be a 2D problem... i missed a problem similar to this on my online quiz... so i went to the online practice problems and found this problem... and i clicked the "help me solve this" button which takes you step by step to the solution... At this point i could see where i made mistakes in solving the quiz problem, but i don't understand why i was wrong so my first question is... They draw the plane flying 72 degrees from north in a NE direction... Why? why is it not 72 degrees from East? like you would do any other unit circle type problem?
 
Physics news on Phys.org
aww... a little research and i found the answer...

In navigation, a vehicle's course or heading is the angle that the intended path of the vehicle makes with a fixed reference object (typically true north). Typically course is measured in degrees from 0° clockwise to 360°

Wind direction is reported by the direction from which it originates. For example, a northerly wind blows from the north to the south. Wind direction is usually reported in cardinal directions or in azimuth degrees. So, for example, a wind coming from the south is given as 180 degrees; one from the east is 90 degrees. So basically it is just like course or heading starting typically at true north and typically measured in degrees from 0° clockwise to 360.°
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
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

Relative motion problem with airplane and wind velocity
Replies
5
Views
4K
How Fast is the Airplane Flying Relative to the Air?
Replies
17
Views
4K
Solving Vectors Word Problem: Ground Velocity of Airplane
2
Replies
72
Views
8K
Vectors and Two Dimensional Motion
Replies
16
Views
2K
Kinematics -- flying a plane in the wind to a destination
Replies
3
Views
2K
Relative velocity help -- A bird flying in a wind trying to get to its nest
Replies
2
Views
2K
Airplane direction and wind direction
Replies
2
Views
2K
Optimizing Airplane Direction in Windy Conditions
Replies
3
Views
2K
Finding the velocity of wind that affects an airplane
Replies
2
Views
8K
2 vectors what third vector is needed to counter bakance the first 2?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top