An airplane flies with a velocity of 55.0 m/s [35o N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0 m/s [53o N of W], what was the wind velocity?

Question

Adriana Mcintosh

Physics

22 May, 12:03

An airplane flies with a velocity of 55.0 m/s [35o N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0 m/s [53o N of W], what was the wind velocity?

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Johnny Doyle · Answer 1

V - the wind velocity;

53° - 35° = 18°

v² = 55² + 40² - 2 · 55 · 40 · cos 18°

v² = 3025 + 1600 - 2 · 55 · 40 · 0.951

v² = 440.6

v = √440.6

v = 20.99 ≈ 21 m/s

Answer: The wind velocity is 21 m/s.