How to Find the Resultant Velocity of a Plane with a Wind?

In summary, the problem involves finding the magnitude and direction of the resultant velocity of a plane flying north at 230 km/h and being carried east by a wind at 56 km/h. Using the equation Tan=opp/adj and solving for the angle, we get 13.7 degrees. However, the correct answer is 76.3 degrees, as the angle should be measured from the other side.
  • #1
shizupple
20
0

Homework Statement



Kyle is flying a plane due north at 230 km/h as a wind carries it due east at 56 km/h. Find the magnitude and direction of the plane's resultant velocity analytically.
236.7 km/h (magnitude)
° (direction)


Homework Equations



Tan=opp/adj


The Attempt at a Solution



This should be straightfoward but i guess not?
I tried:
tan^-1 (56/230)=13.7 degrees

Cant seem to figure out why this isn't working it should be straightfoward
 
Physics news on Phys.org
  • #2
I don't see anything wrong. Why do you think it isn't working?
 
  • #3
My webassign is marking it wrong... i don't see how it is wrong though??!
 
  • #4
Nevermind I got it they wanted the angle from the other side (76.3). Thanks!
 

FAQ: How to Find the Resultant Velocity of a Plane with a Wind?

What is the "Planes Velocity Problem"?

The "Planes Velocity Problem" refers to a mathematical problem in which the velocities of two planes traveling in opposite directions are given, and the distance between them is known. The goal is to calculate the time it takes for the planes to pass each other.

How is the "Planes Velocity Problem" solved?

The "Planes Velocity Problem" can be solved using the formula d = rt, where d represents the distance between the planes, r represents the combined velocity of the two planes, and t represents the time it takes for the planes to pass each other. By plugging in the given values and solving for t, the problem can be solved.

What are some real-world applications of the "Planes Velocity Problem"?

The "Planes Velocity Problem" can be applied in various situations, such as air traffic control, flight planning, and calculating fuel consumption for airplanes. It can also be used in other scenarios involving the movement of two objects in opposite directions.

Are there any variations of the "Planes Velocity Problem"?

Yes, there are variations of the "Planes Velocity Problem" that involve different factors, such as wind speed and direction, changing velocities, and multiple planes traveling in different directions. These variations may require different formulas or approaches to solve.

What are some tips for solving the "Planes Velocity Problem"?

Some tips for solving the "Planes Velocity Problem" include carefully reading and understanding the given information, identifying the known and unknown values, and choosing the appropriate formula or approach based on the given scenario. It is also helpful to double-check the calculations and units to ensure accuracy.

Similar threads

Plane Traveling against the wind
Replies
4
Views
1K
I with this question about vectors
2
Replies
63
Views
5K
How to Calculate Relative Velocity in Wind for a Plane and Cyclist?
Replies
5
Views
3K
Find the velocity of the wind relative to the boat
Replies
6
Views
1K
Kinematics -- flying a plane in the wind to a destination
Replies
3
Views
2K
Relative motion problem with airplane and wind velocity
Replies
5
Views
4K
Confirming Answers to Homework Questions
Replies
2
Views
4K
Ground Speed of Plane in Windy Conditions
Replies
3
Views
1K
Vectors and Two Dimensional Motion
Replies
16
Views
1K
MHB Help Needed: Vectors - Calculate Plane Velocity & Direction
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top