Velocity of surface water wave

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SUMMARY

The velocity of surface water waves can be calculated using the formula V = √((elastic property)/(inertial property)). Despite water being incompressible, this formula applies to mechanical waves, including surface waves created by disturbances such as a pebble thrown into a lake. The derivation of this expression is based on the equations of motion for an incompressible, inviscid fluid. For accurate calculations, understanding the specific elastic and inertial properties of water is essential.

PREREQUISITES
  • Understanding of mechanical wave properties
  • Familiarity with fluid dynamics concepts
  • Knowledge of elastic and inertial properties in physics
  • Basic mathematical skills for deriving wave equations
NEXT STEPS
  • Study the equations of motion for incompressible fluids
  • Learn about the properties of inviscid fluids
  • Explore the relationship between wave velocity and fluid properties
  • Investigate practical applications of wave velocity in real-world scenarios
USEFUL FOR

Students of physics, fluid dynamics researchers, and anyone interested in understanding the mechanics of surface water waves will benefit from this discussion.

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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