- #1

adam640

- 19

- 0

## Homework Statement

Water enters a pipe and goes through a bend with a contraction from 40mm to 25mm then into the atmosphere.

What is the horizontal force required to hold the pipe in place?

## Homework Equations

I have either been given the following or have calculated them using the standard formula, I am confident that they are correct.

Q = 0.01m

^{3}s

^{-1}

A

_{1}= 1.26 x 10

^{-3}m

^{2}

A

_{2}= 4.91 x 10

^{-4}m

^{2}

u

_{1}= 7.94ms

^{-1}

u

_{2}= 20.37ms

^{-1}

p

_{1}= 31.52Pa

p

_{2}= 207.47Pa

θ = 60°

ρ = 1kgm

^{-3}

m = u

_{1}A

_{1}ρ = 0.0100044

## The Attempt at a Solution

F

_{x}= p

_{2}A

_{2}cosθ-p

_{1}A

_{1}-m(u

_{2}cosθ-u

_{1})

Using the above equation that I found from a few online sources I get the result:

__-0.011241193N__So does this mean I multiply my answer my -1 to make it positive and this is the final result? Or have I gone wrong in my equation?

Any help is appreciated,

Adam