# Environmental Science: Numerical Questions – Geostrophic Wind

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## Geostrophic Winds

Q 1 At a latitude of , there is pressure gradient of per . Given the density of air , the geostrophic winds will have velocity :

(1) 5.48 m ⁄ s

(2) 54.86 m ⁄ s

(3) 109.72 m ⁄ s

(4) 27.43 m ⁄ s

Given Values are,

Latitude = 30° (Sin 30° = 0.5)

Pressure

Density of

Distance

Vg =

Where,

Vg = Geostrophic wind Velocity

P = Pressure (in Pascal)

Angular Velocity of Earth

Density of Air

Sin ϕ = Latitude

D = Distance (in meters)

Now putting the given values in the equation,

Vg =

Vg =

Vg = 54.79 m/s

Q 3 If at latitude φ = 30°, pressure gradient is 15 mb per 1000 km, the geostrophic wind velocity will be:

(1) ~20.54 m/s

(2) ~15.92 m/s

(3) ~7.96 m/s

(4) ~10.27 m/s

Given Values are,

Latitude = 30° (Sin 30° = 0.5)

Pressure

Density of Air = 1.25 kg/m3

Distance

Vg =

Vg =

Vg =

Vg =

Vg = 16.43 m ⁄ s

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