Velocity diagram for a rotating blade

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SUMMARY

The discussion focuses on understanding the velocity diagram for a rotating blade, specifically the vectors W and V in relation to the tip speed velocity U. W represents the velocity vector relative to the blade, indicating the flow of fluid along the blade surface, while V denotes the velocity vector relative to the ground. The angles alpha and beta, which are not shown in the diagram, are crucial for a complete understanding, with beta likely representing the angle between the blade and the inner hub.

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  • Understanding of rotational dynamics
  • Familiarity with vector analysis in physics
  • Knowledge of fluid dynamics principles
  • Basic concepts of angular velocity
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princejan7
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Homework Statement


http://postimg.org/image/5o9kcuj57/
I do not understand what the vectors W and V represent

Homework Equations

The Attempt at a Solution


I know U is the tip speed velocity but I don't know about the other two
 
It's hard to be sure because the angles alpha and beta are not shown in the upper diagram.
At a guess, beta is the angle the blade makes to the inner hub. W could be a velocity vector relative to the blade, e.g. representing a flow of fluid along the blade surface. V would then be the velocity vector relative to the ground.
 
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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