Problem 1: Solution

The net divergence in the layer from the LND to the
tropopause was 1.00 X 10 ^{–5} s ^{-1}. The LND was at the 500 mb level an, on
this day, the Tropopause was approximately located at the 200 mb level. The tropopause was near the 200 mb level (11880 m) and the LND is at the 500 mb level (5700 m)

Determine the vertical velocity at
the LND in cm s^{-1}.

(1)

(2)

For the problem level 2 is 200 mb and
level 1 is 500 mb.

and since the vertical velocity at
200 mb is zero.

z_{300} = 11880 m; z_{500}=5700 m

Hence

w_{500} = (1.00 X 10^{-5}
s^{-1}) (3970 m) = 6.2 cm s^{-1}