- #1

Galactium

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## Homework Statement

In a low-flow showerhead that contains 18 nozzle holes, the volume flow rate of the water is 4.00 L/min and the water maximum speed is 2.70 m/s.

What is the diameter of each hole? Do not ignore viscosity of water.

## Homework Equations

Q=Av_max

Q=((pi)r^2)v_max

Q=(pi(r^4)/8nl)*(deltaP)

v_max=2Q/(pi(r^2))

d=2r

3. The Attempt at a Solution

3. The Attempt at a Solution

Given:

Q:4L/min = 6.6667E-5 m^3/s

v_max=2.7 m/s

v_average=v_max/2

v_average=1.35 m/s

n(vescosity):8.90E-4

I am not quite sure where to start, I used the v_max equation, but I got the wrong answer. I know at some point I may need to divide by 18 for one nozzle.