Solving Pressure Problem in Experiment: What is the Force?

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SUMMARY

The discussion focuses on calculating the pressure difference (p) in a viscosity experiment using the formula \(\frac{r^{4}p(\pi)}{8cl}\). The user seeks clarification on determining the force in the context of pressure, specifically how to relate it to the cross-sectional areas of the tube and valve opening. The force is derived from the hydrostatic pressure equation, where pressure equals density times gravitational acceleration times height (p = ρgh). This relationship is crucial for accurately measuring viscosity in liquids.

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  • Understanding of fluid dynamics principles, specifically hydrostatic pressure.
  • Familiarity with the concept of viscosity and its measurement.
  • Knowledge of basic calculus for manipulating fluid equations.
  • Experience with laboratory equipment for viscosity experiments.
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  • Research the hydrostatic pressure equation and its applications in fluid mechanics.
  • Study the relationship between force, area, and pressure in fluid systems.
  • Learn about different methods for measuring viscosity in various liquids.
  • Explore the effects of tube diameter and length on fluid flow and viscosity measurements.
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Students in physics or engineering, laboratory technicians conducting viscosity experiments, and researchers in fluid mechanics looking to understand pressure dynamics in liquid systems.

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Homework Statement





\frac{r^{4}p(pi)}{8cl}

where:
l = the length of the tube in cm
r = the radius of the tube in cm
p = the difference in pressure of the two ends of the tube in dynes per cm2
c = the coefficient of Viscosity in poises (dyne-seconds per cm2)
v = volume in cm3 per second
pi = 3.14159... (i couldn't get the symbol to appear)

I am doing an experiment in which i measure viscosity for different liquids. However, I'm having problems in obtaining value "p". I know that pressure is force times area. In this case, area should be the cross sectional area for the tube at one end, and the cross sectional area of the valve opening at the other end (if I'm not mistaken). However, what will be the force?




Homework Equations





\frac{r^{4}p(pi)}{8cl}

where:
l = the length of the tube in cm
r = the radius of the tube in cm
p = the difference in pressure of the two ends of the tube in dynes per cm2
c = the coefficient of Viscosity in poises (dyne-seconds per cm2)
v = volume in cm3 per second
pi = 3.14159... (i couldn't get the symbol to appear)



The Attempt at a Solution



I know that pressure is force times area. In this case, area should be the cross sectional area for the tube at one end, and the cross sectional area of the valve opening at the other end (if I'm not mistaken). However, what will be the force?
 
Physics news on Phys.org
Take a bottle of about 20 cm height with one opening at the bottom.Put tube of diameter 1mm in a cork which fits the opening at the bottom. Now fill the liquid in the bottle, and note down the height of the liquid surface from the center of the horizontal tube. Nosw the pressure will be rho*g*h.
 

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