Calculating gauge pressure in lungs to produce certain speeds

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SUMMARY

The discussion centers on calculating the gauge pressure in the lungs necessary to achieve a sneeze speed of 150 km/hr, given an air density of 1.3 kg/m³ and atmospheric pressure. Participants suggest using the Bernoulli equation to relate the velocity of air flow to pressure, noting that the initial speed in the lungs is zero. The challenge lies in determining the height variable required for accurate calculations, which remains unresolved in the conversation.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with gauge pressure concepts
  • Basic proficiency in algebra for solving equations
NEXT STEPS
  • Study the application of Bernoulli's equation in fluid dynamics
  • Research how to calculate gauge pressure in various scenarios
  • Explore the relationship between velocity and pressure in fluid flow
  • Learn about the effects of air density on pressure calculations
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Students in physics or engineering, particularly those studying fluid dynamics, as well as anyone interested in respiratory mechanics and pressure calculations in biological systems.

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Homework Statement


The human sneeze can reach speeds of 150km/hr. Calculate the gauge pressure in the lungs required to generate a flow with this speed at atmospheric pressure. Assume the density of the air is constant at 1.3 kg/m^3.

Homework Equations





The Attempt at a Solution



I tried solving to get the gauge pressure but i need the height to do this. Also, i tried working with fluid formulas that have velocity in them but i keep getting stuck due to not having all the variables.
 
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I would think you could use the Bernoulli equation with the speed in the lungs set to zero. After all it starts out stationary.
 
I might give that a go bud. Thanks!
 

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