Solving Fluid Dynamics Pressure at Different Speeds

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SUMMARY

The discussion centers on calculating the pressure reading from a Pitot tube at different speeds, specifically transitioning from 150 km/h to 700 km/h. The relevant equation used is p = p2 + 1/2 * density * (v2^2 - v1^2), where the user struggles with the density variable. The key insight provided is that the stagnation pressure measured by the Pitot tube is dependent on the approach velocity, assuming constant density across the scenarios.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with Pitot tube functionality
  • Knowledge of pressure equations in fluid mechanics
  • Basic understanding of density and its role in fluid calculations
NEXT STEPS
  • Research the concept of stagnation pressure in fluid dynamics
  • Learn how to calculate density for different fluids at varying temperatures
  • Study the Bernoulli equation and its applications in fluid flow
  • Explore the effects of speed on pressure readings in Pitot tube measurements
USEFUL FOR

Students studying fluid dynamics, engineers working with aerodynamics, and anyone involved in pressure measurement techniques using Pitot tubes.

narutoish
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Homework Statement



If the pressure reading of your Pitot tube is 17.0 mm Hg at a speed of 150 km/h, what will it be at 700 km/h at the same altitude?


Homework Equations



The only eq I could think if is p = p2+ 1/2 density (v2^2 - v1^2)

But I don't know the density

The Attempt at a Solution



So I pretty much get stuck in the beginning, any help will be nice

Thanks
 
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What would the reading be at 0km/h? What equations do you now have?
(Note: I'm assuming the equation you quoted is appropriate. To check that I'd need to do some research.)
 
narutoish said:

Homework Statement



If the pressure reading of your Pitot tube is 17.0 mm Hg at a speed of 150 km/h, what will it be at 700 km/h at the same altitude?


Homework Equations



The only eq I could think if is p = p2+ 1/2 density (v2^2 - v1^2)

But I don't know the density

The Attempt at a Solution



So I pretty much get stuck in the beginning, any help will be nice

Thanks

At the tip of the pitot tube, the velocity is zero. So you are measuring the stagnation pressure. If the density doesn't change between the two cases, how does the stagnation pressure depend on the approach velocity?

Chet
 

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