Calculating the Normal Force on an Inclined Flat Plate Struck by a Jet of Water

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SUMMARY

The discussion centers on calculating the normal force exerted on an inclined flat plate struck by a jet of water traveling at 50 m/s. The plate is inclined at 30 degrees to the jet, leading to confusion about the angle's reference point. The correct interpretation is that the angle of 30 degrees refers to the jet's path, making the angle normal to the plate 60 degrees. The formula used for calculating the force is ρ(A)(v²)cos(θ), where θ is the angle of the velocity vector normal to the plate.

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  • Understanding of fluid dynamics principles
  • Familiarity with the concept of normal force
  • Knowledge of the equation for force exerted by a fluid jet
  • Basic trigonometry for angle calculations
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foo9008
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Homework Statement


the figure showed a jet of water , with velocity 50m/s strikes the flat plate , which is inclined 30 degree to the jet . Find the force normal to the surface of jet.

Homework Equations

The Attempt at a Solution


my question is the flat plate is 30 degree to the horizontal axis ? or vertical axis ? I'm consfuing [/B]
 

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foo9008 said:
my question is the flat plate is 30 degree to the horizontal axis ? or vertical axis ?
It doesn't matter. It is only asking about the force resulting from the deflection of the stream of water. Which way gravity acts is of no consequence.
 
haruspex said:
It doesn't matter. It is only asking about the force resulting from the deflection of the stream of water. Which way gravity acts is of no consequence.
My ans would be different, the formula given is rho(A)(v^2)cos theta , where theta is the velocity normal to the plate , if the angle 30 is from horizontal axis, then my theta would be 60, am I right??
 
Here
 

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foo9008 said:
My ans would be different, the formula given is rho(A)(v^2)cos theta , where theta is the velocity normal to the plate and the pipe, if the angle 30 is from horizontal axis, then my theta would be 60, am I right??
Oh, you only meant vertical and horizontal with respect to the way you drew the diagram.
So what you are really asking is what does it mean to say the plate is at 30 degrees to the jet. I agree it's not crystal clear, but I would take it to mean that the normal to the plate is at 60 degrees to the path of the jet.
 
haruspex said:
Oh, you only meant vertical and horizontal with respect to the way you drew the diagram.
So what you are really asking is what does it mean to say the plate is at 30 degrees to the jet. I agree it's not crystal clear, but I would take it to mean that the normal to the plate is at 60 degrees to the path of the jet.
So my idea that theta=60 is correct?
 
foo9008 said:
So my idea that theta=60 is correct?
As in your second attachment, yes.
 
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