Solve Airplane & Wind Homework: 640m/s at 57o E of S?

  • Thread starter Thread starter nagaromo
  • Start date Start date
  • Tags Tags
    Airplane Wind
AI Thread Summary
A plane with a maximum airspeed of 770 m/s needs to achieve a ground velocity of 640 m/s at 57° E of S while facing a wind velocity of 150 m/s at 48° W of S. The initial calculation yielded a velocity of 686.6 m/s at 19° S of E, but the final solution was adjusted to 694.11 m/s at 20.9° S of E. The discussion highlights the importance of vector addition in solving the problem. The pilot can achieve the desired ground velocity with the calculated heading and speed.
nagaromo
Messages
13
Reaction score
0

Homework Statement


A plane has a max airspeed of 770m/s. If the wind velocity is 150m/s 48o W of S, in what direction and with what velocity should the pilot fly the plane to have a ground velocity of 640m/s at 57o E of S? Can She do it?



Homework Equations


V(plane to wind) + V(wind to ground) = V(airplane to ground)


The Attempt at a Solution


Well, I actually got to some answer, but I need someone to help me check if it is correct. If not, can you please help me?

For velocity and direction I got 686.6m/s at 19o S of E.

Thank you!
 
Physics news on Phys.org
nvm i solved it on my own.. i got 694.11m/s 20.9 S of E
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Airplane Vector Problem: Drawing the diagram
Replies
10
Views
2K
Relative motion problem with airplane and wind velocity
Replies
5
Views
4K
Roundtrip by Plane: Understanding Wind & Velocity Effects
Replies
26
Views
2K
Airplane's motion relative to the ground involving wind speed
Replies
5
Views
1K
What Is the Wind Velocity Given Airplane and Ground Speeds?
Replies
14
Views
6K
Velocity of wind based on the shape of a smoke trail
Replies
16
Views
2K
Optimizing Airplane Direction in Windy Conditions
Replies
3
Views
2K
Kinematics -- flying a plane in the wind to a destination
Replies
3
Views
2K
Relative Motion - Airplane Problem
Replies
4
Views
3K
Speed of wind and speed with respect to wind
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top