Question

A 50 km/hr wind is blowing due northwest what are the components of the wind in the northern

and western direction?

Answer 1

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

Step-by-step 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_y` = v × sin(θ)

Substituting the values, we have;

The components of the wind in the northern direction =
`v_y` = 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