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Fluid Dynamics and Forces

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A vane on the moving cart deflects a 10 cm jet of water as shown.
The initial speed of the water jet is 20 m/s and the cart moves at 3 m/s.
The vane splits the jet evenly (1/2 at 45º and 1/2 at 90º)
What forces are exerted on the vane by the jet?

(See attached file for full problem description with diagram)

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This solution contains an annotated diagram and also step-by-step calculations and explanations to determine what forces are exerted on the vane by the jet.

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Problem:

A vane on the moving cart deflects a 10 cm jet of water as shown.
The initial speed of the water jet is 20 m/s and the cart moves at 3 m/s.

The vane splits the jet evenly (1/2 at 45º and 1/2 at 90º)

What forces are exerted on the vane by the jet?

Solution:

Assumptions:
1) The jet source is not moving
2) The jet shape is circular, so that the flow cross area is
( 1)
3) The density of ...

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