an airplane flying north is observed from the ground. it's velocity is 225 m/s north. the pilot who is flying the plane measures a velocity of 250m/s north. what is the velocity of the wind that affects the plane
Vw = 250 - 225 = 25 m/s, North.
To find the velocity of the wind affecting the plane, we need to calculate the difference between the observed velocity from the ground and the measured velocity by the pilot.
We are given two velocities:
- Observed velocity from the ground: 225 m/s north
- Measured velocity by the pilot: 250 m/s north
The observed velocity from the ground includes both the actual velocity of the plane and the velocity of the wind. Since the plane is flying north and the wind is affecting its movement, we can assume that the wind is blowing from the north to the south. Therefore, we can represent the velocity of the wind as a vector pointing in the opposite direction, which is -x m/s north.
Now, let's set up an equation to solve for the velocity of the wind:
Observed velocity from the ground = Measured velocity by the pilot + Velocity of the wind
225 m/s north = 250 m/s north + (-x) m/s north
To solve for x, we need to isolate x on one side of the equation.
225 m/s north - 250 m/s north = (-x) m/s north
-25 m/s north = -x m/s north
Since the direction is the same (north), we can ignore it for now and focus on the magnitude of the velocities:
25 m/s = x
Therefore, the velocity of the wind affecting the plane is 25 m/s, blowing from the north to the south.