Calculate Pressure Difference: Water Flow Through Tubes of Different Radii

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SUMMARY

The discussion focuses on calculating the pressure difference between a large tube and three smaller tubes with a radius of R/3, given a water flow scenario. The user applied the continuity equation and Bernoulli's equation to find the pressure difference after determining the velocity in the smaller tubes to be 18 m/s. However, the calculated pressure difference of 148240 N/m² was incorrect. The correct approach involves re-evaluating the velocity calculations and ensuring proper application of Bernoulli's principle for multiple outlets.

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  • Understanding of fluid dynamics principles, specifically Bernoulli's equation.
  • Familiarity with the continuity equation in fluid flow.
  • Knowledge of velocity calculations in fluid systems.
  • Basic concepts of pressure measurement in fluids.
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  • Review the application of Bernoulli's equation in multi-outlet systems.
  • Learn how to derive velocities using the continuity equation for different tube radii.
  • Investigate common mistakes in fluid dynamics calculations.
  • Explore practical examples of pressure difference calculations in fluid systems.
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daisyi
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I feel like I am getting so close to this one, but the answer just isn't right!

Water flows down a tube of radius R for a vertical height h into 3 tubes of radius R/3. If the water falls a distance of 1.2m and the velocity in the large tube is 2 m/sec, find the pressure difference between the large and small tubes.

so what I did is use the continuity formula to calculate the velocity of the other tubes, which is 18.

i then used bernouilli's equation to calculate the difference in the pressure, using the information provided and the velocity of 18 which i found above.

i keep coming up with 148240 N/m^2, which is way off of the answer! help!
 
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daisyi said:
so what I did is use the continuity formula to calculate the velocity of the other tubes, which is 18.
Redo this calculation. Don't forget that the water flows into three small tubes.
 
Last edited:
thanks a ton, got it
 

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