How Do You Calculate Pressure Drop in a Garden Hose?

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SUMMARY

The pressure drop across a 28.0 m long garden hose with a diameter of 1.30 cm and a flow rate of 0.610 liters/s can be calculated using Poiseuille's equation. The correct formula is ΔP = 8 * η * L * Q / (π * r^4), where η is the viscosity of water (1.003E-3 Pa*s), L is the length of the hose, Q is the flow rate converted to m³/s, and r is the radius of the hose. The calculated pressure drop is 27400 Pa, confirming the application of the equation in this scenario.

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Homework Statement



A straight horizontal garden hose 28.0 m long with an interior diameter of 1.30 cm is used to deliver water at the rate of 0.610 liters/s. Estimate the pressure drop (in Pa) from one end of the hose to the other. The coefficient of viscosity for water is 1.003E-3 Pa*s.

Homework Equations





The Attempt at a Solution



Thought this was an easy problem, but can't figure out what I am doing wrong.

Given:
L=28.0m
d=0.013m ===> r=0.0065m
Q(Flow Rate)=0.610L/s... when you convert L - m3... 0.000610m3/s
viscosiy=1.003*10^-3 Pas

So, when you rearrange Poiseuille's equation for \DeltaP ...(P2-P1), you get;

(P2-P1)=8(Viscosity)(L)(Q)/piR^4

Ended up getting 27400Pa=(P2-P1).. I figured this was the pressure drop, and this was the way to do this problem but this answer is incorrect.

Help!
 
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Nevermind, got it!
 

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