Automobile Hydrostatic Pressure

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SUMMARY

The forum discussion focuses on solving problems related to hydrostatic pressure in automotive and fluid mechanics contexts. The gauge pressure of a typical automobile tire is approximately 206,842 pascals, with each tire having a contact area of 0.011 square meters. Additionally, the total force exerted on the bottom of a swimming pool measuring 5m by 10m filled to a depth of 3m is calculated to be 1.5 x 10^6 newtons. Lastly, the lowest gauge pressure achievable in human lungs, based on the maximum height of water that can be sucked through a straw, is -11,000 pascals.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the equation F=PA (Force equals Pressure times Area)
  • Knowledge of fluid density and gravitational acceleration
  • Basic skills in unit conversion, particularly between psi and pascals
NEXT STEPS
  • Study the derivation and applications of the hydrostatic pressure formula P=pgh
  • Learn about the implications of gauge pressure in automotive engineering
  • Explore fluid mechanics concepts related to force exerted by liquids in containers
  • Investigate the physiological limits of human suction capabilities and related pressures
USEFUL FOR

Students in physics or engineering courses, automotive engineers, and anyone interested in fluid mechanics and hydrostatic pressure applications.

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Homework Statement



1) A typical automobile tire has a gauge pressure of around 30 Ib/in^2. How much is that in pascals? If a car weighs 8897N(=2000lb), how much area(SI units) on each tire is in contact with the road?

2) A swimming pool 5m wide by 10m long is filled to a depth of 3m. What's the total force exerted on the bottom due to the water?

3) GIven that most people cannot suck water up a straw any higher than about 1.1m, what's the lowest gauge pressure they can creat in the lungs?

Homework Equations


F=PA
F=P(4A)

PA=F

P= p(h2O)gh

The Attempt at a Solution


1) 2.1 x 10^5 Pa and .011m^2 are answers..I didn't get these answers though..
2) 1.5 x10^6 n is the answer
3) -1.1 x10^4 Pa is the answer..

Please help me to get these answers by giving me steps and equations.
Thank you!
 
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