- #1
karnten07
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Homework Statement
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.
Homework Equations
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?