How Do You Calculate Pressure Drop in a Garden Hose?

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In summary, The pressure drop (in Pa) from one end of a 28.0 m long garden hose with an interior diameter of 1.30 cm and a flow rate of 0.610 liters/s is estimated to be 27400 Pa using Poiseuille's equation. However, the correct answer is likely different.
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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 [tex]\Delta[/tex]P ...(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!
 

Related to How Do You Calculate Pressure Drop in a Garden Hose?

1. What is fluid flow rate?

Fluid flow rate is the measure of how much fluid (liquid or gas) is moving through a specific area over a period of time. It is typically measured in units of volume per unit of time, such as liters per second or cubic meters per hour.

2. How is fluid flow rate calculated?

The fluid flow rate can be calculated by dividing the volume of fluid that passes through a specific area by the time it takes for the fluid to pass through. This can be represented by the equation Q = V/t, where Q is the flow rate, V is the volume, and t is the time.

3. What factors affect fluid flow rate?

The factors that affect fluid flow rate include the fluid's viscosity, the pressure difference between two points, the size and shape of the conduit or pipe, and the density of the fluid. Other factors such as temperature and the presence of obstructions can also impact the flow rate.

4. How does fluid flow rate impact industrial processes?

Fluid flow rate is an important factor in many industrial processes, as it affects the efficiency and effectiveness of the process. For example, in chemical industries, precise control of fluid flow rate is crucial for maintaining the correct reaction conditions. In hydraulic systems, the flow rate determines the speed and force of the fluid, which impacts the performance of the system.

5. How can fluid flow rate be controlled?

Fluid flow rate can be controlled by altering the factors that affect it, such as changing the pressure, temperature, or viscosity of the fluid. It can also be controlled by using valves, pumps, and other flow control devices. In some cases, manipulating the size and shape of the conduit or pipe can also impact the flow rate.

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