Surface waves vs longitudinal waves

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SUMMARY

In the discussion, it is established that in fluids, only longitudinal waves propagate, while both transverse and longitudinal waves can propagate in ocean water. This indicates that ocean water behaves differently than a typical fluid, as transverse waves are surface phenomena occurring near the fluid boundary. The rotational trajectories of fluid molecules, influenced by gravity and pressure, create these surface waves, which do not propagate through the bulk due to negligible shear forces. The presence of longitudinal waves serves as evidence for the liquid state of the Earth's core.

PREREQUISITES
  • Understanding of wave types: longitudinal and transverse waves
  • Basic knowledge of fluid dynamics
  • Familiarity with the properties of ocean water
  • Concept of shear forces in fluids
NEXT STEPS
  • Research the properties of ocean waves and their classifications
  • Explore animations and simulations of wave propagation in fluids
  • Study the implications of wave types on geological structures, particularly the Earth's core
  • Investigate the role of gravity and pressure in wave formation
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Students and professionals in physics, oceanography, and geology, as well as educators seeking to explain wave phenomena in fluids.

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in fluid only longitudinal waves propagate but in Ocean water both transverse and longitudinal waves propagate. Does that mean Ocean water is not a fluid? I am confused. Can anyone explain please.(Longitudinal wave is the evidence for Earth core is liquid)
 
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It is my understanding that transverse waves on the ocean are a surface phenomenon, occurring near the boundary of the fluid. They involve rotational trajectories of the fluid molecules with gravity/pressure providing the restoring force. They don't propagate through the bulk of the fluid because shear forces are non existent (or too small to matter).

Some nice animations of the various types of waves can be found here.
 
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Thank you so much for your attempt. I am sorry, I am not convinced though...
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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