At a station located at 43 N, the surface wind speed (Vs) is 10 m s1 and is dire

Question

At a station located at 43 N, the surface wind speed (Vs) is 10 m s1 and is directed across the isobars from high toward low pressure at an angle y 20°, as indicated in the following figure. Calculate the magnitude of the frictional drag force (FF) and the horizontal pressure gradient force (PGF) (per unit mass). IL PGF CF Figure. The three-way balance of forces required for steady surface winds in the presence of the frictional drag force FF in the northern hemisphere. Solid lines represent isobars or g contours on a weather chart. CF: Coriolis force. al height

Explanation / Answer

scalar magnitude of the Coriolis force C is given by fV
where f is the Coriolis parameter and V is the wind velocity. From Fig,
it is evident that the scalar magnitude of the frictional drag force
Fs is |C| cot and the scalar magnitude of the pressure gradient force P
is |C|tan .

At 43N, f = 104 s1.

Hence, |C| = 103 m s2,

|Fs| = 3.63 × 104 m s2, and

|P| = 1.06 × 103 m s2.

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