Airplane flying in a crosswind problem

  • Thread starter Thread starter CaYn
  • Start date Start date
  • Tags Tags
    Airplane Flying
AI Thread Summary
To solve the problem of an ultralight plane flying in a crosswind, the airspeed of 45 m/s is relative to the air, not the ground. The wind is blowing at 20 m/s toward the southwest, which affects the plane's actual velocity relative to the earth. The correct approach involves calculating the x and y components of the plane's velocity by considering both the airspeed and the wind's influence. The initial attempt at finding the components yielded incorrect values, indicating a misunderstanding of the reference frame. Accurate calculations will provide the correct x and y components, along with the magnitude and angle of the plane's motion relative to the earth.
CaYn
Messages
5
Reaction score
0

Homework Statement



The nose of an ultralight plane is pointed south, and its airspeed indicator shows 45 m/s . The plane is in a 20 m/s wind blowing toward the southwest relative to the earth.

Find the x-component of the velocity with respect to the earth.
Find the y-component of the velocity with respect to the earth.
Find the magnitude of the plane's motion with respect to the earth.
Find the angle of the plane's motion with respect to the earth.

Homework Equations



x-component magnitude of a vector = (a)cos(\vartheta)
y-component magnitude of a vector = (a)sin(\vartheta)

The Attempt at a Solution



I mapped it all out and ended up with x and y components of -59.14 and -14.14 respectively, but this is wrong.

halp plox?
 
Physics news on Phys.org
halp plox?

Really?



Anyway, you realize the the airspeed indicator reading of 45 m/s is relative to the moving air, not the earth. Take that into consideration, please.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

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 »

Similar threads

Which wingtip will be positive when airplane flies?
Replies
7
Views
4K
Calculating Induced Voltage in a Flying Airplane through Earth's Magnetic Field
Replies
1
Views
2K
How Fast is the Airplane Flying Relative to the Air?
Replies
17
Views
4K
Relative motion problem with airplane and wind velocity
Replies
5
Views
4K
Relative Velocity and Angles of Movement (Sears & Zemansky's Exercise)
Replies
11
Views
2K
What Is the Wind Velocity Given Airplane and Ground Speeds?
Replies
14
Views
6K
Resistance force changing the velocity of an object
Replies
8
Views
1K
Airplane direction and wind direction
Replies
2
Views
2K
Introductory Vector Problem- Airplane emergency landing
Replies
2
Views
2K
Trucks travels beneath an airplane .
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top