a Please calculate the Coriolis acceleration in vector form

(a) Please calculate the Coriolis acceleration in vector form for a parcel of air at 40° N latitude moving northward at 20 m s^-1. Hint: Use the Coriolis acceleration term in the vector momentum equation in rotating coordinates. (b) In contrast to Earth, Venus rotates clockwise when viewed from above, with one Venusian day equal to 243 terrestrial days. Please calculate the Coriolis acceleration in vector form for a parcel of air at 40° N latitude moving northward at 20 m s^-1 on Venus.

Solution

wx = -w cos(lambda) along that latitude

wz = -w sin(lamda)

lambda = 40 degrees

wy = 0

Also v x = -20

vy = 0 vz = 0

Now omega X V = -20* w sin(lambda) in y direction.

For venus w will change because for 1 rotation it takes 243 * 24 earth hours.

So you can substitute w vanus as w (earth) / 243

Also venus rotates opposite direction.So replace w with (-w)

So coriolis acceleration = 20 sin(lambda) w(earth) / 243 in positive y direction