A 50 km/hr wind is blowing due northwest what are the components of the wind in the northern
1 answer:
Answer:
The components of the wind in the northern direction is approximately 35.36 km/hr
Similarly, the components of the wind in the western direction is approximately 35.36 km/hr
Explanation:
The given parameters are;
The magnitude of the speed of the wind, v = 50 km/hr
The direction of the wind = The northwest direction
Therefore;
Given that the angle between the northern and western direction = 90°
The angle in the northwestern direction, θ = 90°/2 = 45°
Therefore;
The components of the wind in the northern direction = = v × sin(θ)
Substituting the values, we have;
The components of the wind in the northern direction = = 50 × sin(45°) = 50/√2 ≈ 35.36 km/hr.
Similarly, the components of the wind in the western direction = vₓ = 50 × cos(45°) = 50/√2 ≈ 35.36 km/hr
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