Relative Velocity of a plane

In summary, the speed of an aircraft in still air is 300 km/h. In a wind of speed 140 km/h, blowing from a bearing of 230, the aircraft flies due east. The course set by the pilot is due east and the time taken for the aircraft to travel 100 km is 20 minutes. To a cyclist traveling due east at 18 km/h, the wind appears to be blowing at 12 km/h from a bearing of 150. The true wind-speed is 15 km/h and the direction from which the wind is blowing is 135 degrees.
  • #1
Zoheb Imran
10
0
a,The Speed Of an aircraft in still air is 300 km/h.
In a wind of speed 140 km/h, blowing from a bearing of 230, the aircraft flies due east. Find
i, the course set by the pilot
ii, the time taken for the aircraft to travel 100 km.

b,To a cyclist traveling due east at 18 km/h the wind appears to be blowing at 12 km/h from a bearing of 150. Find the true wind-speed and the direction from which the wind is blowing.
 
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  • #2
Where's your attempt at a solution?
 
  • #3
how to draw a vector diagram ?? of the above problem?? I only have problem in that...
 
  • #4
its all simple trigonometry ... after that... i need to know what will be the direction of Aircraft in still air? what does that mean? what will be the direction of of wind... how will we create a vector diagram...of it?
 
  • #5
You should be able to draw 3 vectors, where one of them is the final speed and direction of the moving object(which you can find by vector addition).
 
  • #6
Zoheb Imran said:
how to draw a vector diagram ?? of the above problem?? I only have problem in that...

Hi Zoheb! :smile:

Give them letters!

Call the plane P, the air A, and the ground G.

Then P - A = 300, and A - G = 140 @ 230º.

And you know that P - G is 90º.

Draw a triangle with an arrow on each side, so that the arrow along P - A goes the same way as the arrow along A - G (in other words, it doesn't meet it head-on).

Does that make sense? :smile:
Zoheb Imran said:
… what will be the direction of Aircraft in still air?

Not relevant … in still air, it would go at 300 in any direction … they're simply telling you how powerful the aircraft is.
 

1. What is relative velocity?

Relative velocity is the measurement of the velocity of an object in relation to another object. It takes into account the motion of both objects and is typically expressed as a vector quantity.

2. How is relative velocity different from absolute velocity?

Absolute velocity is the measurement of the velocity of an object in relation to a fixed point, such as the ground. Relative velocity, on the other hand, takes into account the motion of both objects and is measured between the two objects.

3. How is the relative velocity of a plane calculated?

The relative velocity of a plane can be calculated by subtracting the velocity of the plane from the velocity of the object it is moving towards or away from. This can be done using vector addition and taking into account the direction of motion.

4. What factors can affect the relative velocity of a plane?

The relative velocity of a plane can be affected by factors such as wind speed and direction, air density, and the velocity of the object the plane is moving towards or away from.

5. Why is understanding relative velocity important in aviation?

Understanding relative velocity is important in aviation because it helps pilots and air traffic controllers determine the safest and most efficient routes for planes to travel. It also allows for accurate calculations of fuel consumption and flight time.

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