<P> When considering atmospheric or oceanic dynamics, the vertical velocity is small, and the vertical component of the Coriolis acceleration is small compared to gravity . For such cases, only the horizontal (east and north) components matter . The restriction of the above to the horizontal plane is (setting v = 0): </P> <Dl> <Dd> v = (v e v n), (\ displaystyle (\ boldsymbol (v)) = (\ begin (pmatrix) v_ (e) \ \ v_ (n) \ end (pmatrix)) \,) a c = (v n − v e) f, (\ displaystyle (\ boldsymbol (a)) _ (c) = (\ begin (pmatrix) v_ (n) \ \ - v_ (e) \ end (pmatrix)) \ f \,) </Dd> </Dl> <Dd> v = (v e v n), (\ displaystyle (\ boldsymbol (v)) = (\ begin (pmatrix) v_ (e) \ \ v_ (n) \ end (pmatrix)) \,) a c = (v n − v e) f, (\ displaystyle (\ boldsymbol (a)) _ (c) = (\ begin (pmatrix) v_ (n) \ \ - v_ (e) \ end (pmatrix)) \ f \,) </Dd> <P> where f = 2 ω sin ⁡ φ (\ displaystyle f = 2 \ omega \ sin \ varphi \,) is called the Coriolis parameter . </P>

How does coriolis force control the direction of wind