Force exerted normal to the plate

[foo9008]

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

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

 

[haruspex]

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

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.

 

[foo9008]

Your algebraic expression looks right but I don't get same answer (about 4% less). Check your arithmetic.

my ans is 268.8N

 

[haruspex]

my ans is 268.8N

That is what I get.