Relative velocity of a plane question

AI Thread Summary
To calculate the velocity the pilot must maintain to reach her destination with a 25 m/s wind from the west, the initial velocity of the plane is 150 m/s at a bearing of N35E. The participant determined the east-west component of the plane's velocity to be 122 m/s east. By drawing a vector triangle and applying the cosine law, they found the resultant ground velocity to be 165.6 m/s at an angle of N42E. This method effectively combines the aircraft's velocity and wind speed to ensure timely arrival. The discussion emphasizes the importance of vector analysis in solving relative velocity problems.
mousemouse123
Messages
10
Reaction score
0
an aircraft must fly at a velocity of 150m/s[n35e] if there were no wind to reach its destination. a wind from the west of 25m/s is present for the whole flight. calculate the velocity the pilot must maintain to reach her destination in time. i started by finding the velocity of the plane in the east west dimenson. and got 122m/s [e] would i just add this number to 25 to get the right answer?
 
Last edited:
Physics news on Phys.org
hi mousemouse123! :smile:

you need to draw a vector triangle …

what does it look like? :wink:​
 
tiny-tim said:
hi mousemouse123! :smile:

you need to draw a vector triangle …

what does it look like? :wink:​


gee thanks... i drew a vector triangle already... that's how i got the velocity in the east west direction...
 
I found that the velocity of the plane to the ground was 165.6m/s (N42E).
I did this using the vector diagram then the cosine law to find the velocity of the plane to the ground, then the sine law to find the angle it travels. :smile:
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Relative motion problem with airplane and wind velocity
Replies
5
Views
4K
River-boat problem (Relative velocity)
Replies
9
Views
6K
Relative Velocity, Aeroplane Problem
Replies
1
Views
2K
Question on relative velocity -- Find time?
Replies
18
Views
2K
New Velocity/Distance Question 1/25
Replies
4
Views
1K
Relative Motion Homework Problem?
Replies
1
Views
2K
Relative velocity help -- A bird flying in a wind trying to get to its nest
Replies
2
Views
2K
Kinematics -- flying a plane in the wind to a destination
Replies
3
Views
2K
Addition of 2-D vectors and relative velocity
Replies
1
Views
2K
Relative velocity of plane with vectors
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top