Velocity of surface water wave

AI Thread Summary
The discussion focuses on calculating the velocity of surface waves on water, likening it to the ripples created by a pebble thrown into a lake. The original poster references a formula for mechanical wave velocity, V = √((elastic property)/(inertial property)), but expresses confusion regarding its application to water, which is incompressible. A suggestion is made to refer to a specific physics resource that provides a derivation of the wave velocity for incompressible fluids. The conversation emphasizes the need to understand the nature of water waves, which are typically surface waves rather than longitudinal. Understanding these principles is essential for accurately determining wave velocity in water.
woepriest
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Im trying to find the velocity for the surface wave on water. Its like when you throw a pebble on a small lake and there's waves.

My book tells me that all mechanical wave follows this

V = √((elastic property)/(inertial property))

But water is not compressable and this wave is a longatuidal wave I believe. I am just stuck as to where to start.
 
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woepriest said:
Im trying to find the velocity for the surface wave on water. Its like when you throw a pebble on a small lake and there's waves.

My book tells me that all mechanical wave follows this

V = √((elastic property)/(inertial property))

But water is not compressable and this wave is a longatuidal wave I believe. I am just stuck as to where to start.
Try here: http://physics.nmt.edu/~raymond/classes/ph13xbook/node7.html

The expression shown there can fairly easily be derived from the equations of motion for an incompressible, inviscid fluid.
 
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