Velocity of Wind: Calculate Direction & Speed

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SUMMARY

The discussion focuses on calculating the wind direction and velocity affecting an airplane's flight path. The airplane travels west at 255 km/h, while the resultant velocity is 225 km/h directed South 70 degrees West. To determine the wind velocity (v), one must perform vector subtraction using the equation R = v + V, where R is the resultant vector and V is the airplane's velocity. The process involves adding the negative of the airplane's velocity vector to the resultant vector.

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The question said that the airplane turned west for 255km/h, and the resultant was 225km/h South 70 degrees West. I have to find the wind direction and velocity. How?
 
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lia said:
The question said that the airplane turned west for 255km/h, and the resultant was 225km/h South 70 degrees West. I have to find the wind direction and velocity. How?
If v is the velocity of the wind and V is the velocity of the airplane relative to the wind then the resultant R is

R = v + V

where everything in bold is a vector. To find v subract V from both sides of the equation and do the vector subtraction. That is equivalent to adding -V to R. -V is the same length as V but in the opposite direction.
 

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