Natural frequency of the sloshing water in a swimming pool of a cruiser ship is studied by an experimental set up with a scale of 1/10. If the natural frequency is found 3.5 Hz, then what is the natural frequency for full scale?

Answer 1

http://www.jiskha.com/display.cgi?id=1392897814

Sorry, I was rowing this morning and did not see this question. Finally a question I am used to :)
Naval Architect, Gloucester, MA

Answer 2

by the way if the wavelength is long compared to the water depth then the speed is proportional to the depth.

v = k L

T = L/v = L/kL = 1/k
and the speed would be so much faster in the deeper pool that the period would be the same.

Answer 3

sorry, have shallow water limit wrong
speed proportional to square root of depth

v = k L^.5
T = L/v = L/(k L^.5) = c sqrt L
so
frequency = constant / sqrt L
so same ratio, 1/sqrt 10