How Can I Calculate the Seiche Period for a Shallow Water Channel?

[aks_sky]

The speed of water waves in shallow water is given approximately by:

c^2 = gh

A seiche is a standing wave in a shallow water basin with antinodes at ends and a node in the center.

A lake is approximately a channel 9 km wide and 300 m deep. Calculate the seiche period for such a channel.


** What i think i can do with this problem is that i can use the height h=300m in the equation but i don't think that will give me the right answer. I am thinking that i should find the area of the channel but i don't know how to use that in the formula to find the speed.

Any ideas?

thank you

 

[diazona]

Why do you think using the height 300m will give you the wrong answer?

 

[aks_sky]

When i did the calculations i got the answer as 54.2 s, which i think is not right for the period of wave. but i could be wrong, also i was thinking about using the width of the channel to see if i get a different answer. but i don't think that works out either.

 

[aks_sky]

Oh yup i figured it out. I can use the formula of c = 2L / sqrt(g h)

that give me the speed of a wave through a channel... thank you for your help!