Calculating gauge pressure in lungs to produce certain speeds

AI Thread Summary
To calculate the gauge pressure in the lungs necessary for a sneeze reaching 150 km/hr, the density of air is considered constant at 1.3 kg/m^3. The discussion highlights the challenge of determining gauge pressure due to missing variables, particularly height. The Bernoulli equation is suggested as a potential method, assuming the initial speed in the lungs is zero. Participants express difficulties in solving the problem without all required parameters. The conversation emphasizes the need for a comprehensive understanding of fluid dynamics to find a solution.
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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!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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