# Homework Help: Coriolis force on a river

1. Dec 10, 2007

### karnten07

1. The problem statement, all variables and given/known data

A river of width D flows Northward with speed v. Show that the water is lower at the west bank than at the east bank by approximately

2Dwvsinlamda/g

where w is the angular velocity of the earth and lamda the latitude.
2. Relevant equations

3. The attempt at a solution

I get the difference in height as 2Dwvsin(lamda)cos(lamda)/sqrt(g^2 +(2wvsin(lamda)cos(lamda))^2)

So if this was the same as my answer it would mean that cos(lamda)/sqrt(g^2 +(2wvsin(lamda)cos(lamda))^2) = 1/g

Im just unsure how to prove this, it looks like a simple right angled triangle to show this by rearranging to show coslamda = sqrt(g^2 +(2wvsin(lamda)cos(lamda))^2)/g

Does this look right guys?

2. Dec 14, 2007

### Shooting Star

Not really. You can't reduce your formula to the answer through any approximation that I can see. Why don't you just share your calculations with us?