Calculate pressure using Bernoulli's equation

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Discussion Overview

The discussion revolves around calculating the pressure required for a human to drink a milkshake through a vertical straw using Bernoulli's equation. Participants explore the implications of fluid dynamics in this context, particularly focusing on pressure differences and the physical limitations of human lungs.

Discussion Character

  • Homework-related
  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to find the speed of the milkshake and whether atmospheric pressure should be considered as P1.
  • Another participant suggests calculating the pressure difference required for the milkshake to rise to the top of the straw, indicating that the velocity may only need to be sufficient for the liquid to pour out into the mouth.
  • A different participant proposes that sucking air from the straw creates a pressure difference between atmospheric pressure and the pressure in the lungs, prompting calculations to determine the outcome.
  • There is confusion regarding the height measurements, with a participant questioning whether z1 corresponds to the height of the cup and z2 to the height of the straw.
  • Another participant mentions that the straw can be dipped to reduce the height difference, noting that the average human lung capacity is about 6 liters of air.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and uncertainty regarding the calculations and concepts involved. There is no consensus on how to approach the problem or the specific parameters to use in the calculations.

Contextual Notes

Participants have not resolved the assumptions regarding the pressure measurements and the height differences in the straw and cup. The discussion reflects a range of interpretations and approaches to the problem without definitive conclusions.

09matthew
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Homework Statement


You have been given a milkshake (ρ = 1200kg/m^3). The glass is 200mm tall a straw 8mm diameter and 300mm long. Show that human lungs would be unable to drink the milkshake through a vertical straw. (answer should be around 3000Pa)

I have no idea what to do as I don't know how to find the speed and also not sure if P1 is atmospheric pressure or not. Any help would be greatly appreciated!

Thank you!

Homework Equations

The Attempt at a Solution

 
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09matthew said:
You have been given a milkshake (ρ = 1200kg/m^3). The glass is 200mm tall a straw 8mm diameter and 300mm long.[/QUOTE
i think one should calculate the pressure difference required for the liquid to rise to the upper point of the straw and the velocity of the liquid may be sufficient only to pour out in the mouth- one can take a unit volume for estimation of the required pull from the lungs.
 
09matthew said:
Show that human lungs would be unable to drink the milkshake through a vertical straw.

suppose a person sucks out air from the straw the liquid can rush to the top by difference of pressure - the atmospheric pressure and the air pressure in side the mouth which is air pressure in the lungs- try to calculate it and see how it comes out!
 
Sorry, I'm still not so sure where to start... how would i get the pressure difference? and also, is z1 = 200mm (size of the cup) and z2 = 300mm (size of the straw)?
 
09matthew said:
and also, is z1 = 200mm (size of the cup) and z2 = 300mm (size of the straw)?

one can dip the straw ,so that the height difference is only( z2 -z1) -the human lung can take average about 6 litres of air.
 

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