Question

Circular chain of fluid parcels. The radius of 145 km centered at 34◦N. Initial circulation zero. The entire chain begins moving northward at 12 m s−1 . (a) Please find the rate of change of the circulation. (b) Please determine what the circulation will be after 24 hours. ASSUMPTION: β remains nearly constant. Only small changes in latitude. Please determine the tangential winds after 24 hours.

Answer 1

The circular chain of fluid parcels.

Radius of 145 km centered at 34^°N.

Initial circulation is zero.

The entire chain moving northward.

Therefore the rate of change of circulation is -103.97 m^2/s^2.

The circulation after 24 hours is -51.98*10^6 m^2/s.

The tangential wind after 24 hours is 11.41 m/s.