How Do You Convert Atmospheric Pressure from Atm to PSI at High Altitudes?

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To convert atmospheric pressure from atm to psi at high altitudes, the formula involves multiplying the atmospheric pressure in atm by 14.7 psi, the pressure at sea level. At 35,000 feet, atmospheric pressure is approximately 0.5 atm, resulting in a conversion of 0.5 * 14.7 psi, which equals 7.35 psi. Understanding the relationship between atm and psi is crucial for accurate conversions, especially at varying altitudes. Using conversion factors provides a more universal method for converting between different units of pressure. Accurate calculations are essential for applications in aviation and meteorology.
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I have an altitude to psi problem that I can't quite figure out. I know I have to use conversions, but I'm not sure how to set them up.

At an altitude of 35,000 ft, atmospheric pressure is less than 0.500 atm. Convert this pressure to pounds per square inch (psi).
 
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Atmosphere pressure is approximately 14.7 psi at sea level .

So if you know that atmospheric pressure at a specified altitude is 0.5 sea level value then pressure in psi = 14.7 * 0.5 .

Answer 7.35 psi .

nb: The 14.7 psi pressure at sea level is commonly referred to as ' one atmosphere ' .
So two atmospheres = 29.4 psi . Three atmospheres = 44.1 psi etc .
 
Nidum said:
Atmosphere pressure is approximately 14.7 psi at sea level .

So if you know that atmospheric pressure at a specified altitude is 0.5 sea level value then pressure in psi = 14.7 * 0.5 .

Answer 7.35 psi .
Thank you for your help. I misinterpreted the question.
 
Actually it would be better to look for the definitions of atm and psi and see how to convert between them using conversion factors. While there is nothing with the approach suggested by Nidum, using conversion factors is much more universal and allows conversion between any compatible units.

https://en.wikibooks.org/wiki/FHSST_Physics/Units/How_to_Change
 
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