Force exerted normal to the plate

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SUMMARY

The discussion centers on calculating the normal force exerted on a flat plate by a jet of water with a diameter of 50mm and a velocity of 18m/s, striking the plate at a 25-degree angle. The correct formula used is F = ρA(v)(v cos θ), where ρ is the water density (1000 kg/m³), A is the cross-sectional area, and θ is the angle between the water velocity and the normal to the plate. The final calculated normal force is 268.8 N, which is slightly lower than the initial calculation of 278.7 N due to arithmetic discrepancies.

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foo9008
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Homework Statement


A jet of water , 50mm diameter , with a velocity of 18m/s , strikes a flat plate inclined at 25 degree to the axis of jet as shown in figure, Determine the normal force , P exerted on the plate when plate is stationary .

Homework Equations

The Attempt at a Solution


6ffCbqU.jpg

in the diagram attached , i found that the angle between the water velocity make an angle of 65 degree to the normal of the plate ,
so my ans is F = ρA(v)(v cos theta) = 1000(pi)( [(50x10^-3) / 2 ] ^2 ) (18^2)(cos 65) = 278.7 N , is my working correct ? i don't have the ans
 

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foo9008 said:

Homework Statement


A jet of water , 50mm diameter , with a velocity of 18m/s , strikes a flat plate inclined at 25 degree to the axis of jet as shown in figure, Determine the normal force , P exerted on the plate when plate is stationary .

Homework Equations

The Attempt at a Solution


6ffCbqU.jpg

in the diagram attached , i found that the angle between the water velocity make an angle of 65 degree to the normal of the plate ,
so my ans is F = ρA(v)(v cos theta) = 1000(pi)( [(50x10^-3) / 2 ] ^2 ) (18^2)(cos 65) = 278.7 N , is my working correct ? i don't have the ans
Your algebraic expression looks right but I don't get same answer (about 4% less). Check your arithmetic.
 
haruspex said:
Your algebraic expression looks right but I don't get same answer (about 4% less). Check your arithmetic.
my ans is 268.8N
 
foo9008 said:
my ans is 268.8N
That is what I get.
 

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