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Poetria
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Homework Statement
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dp/dh = -.13*p h in kilometers
I should convert it into meters2. The attempt at a solution
I thought it would be enough to multiply -0.13 by 1000. :(
dp/dh = -130*p but it is wrong.
From the equation given, you can deduce that the constant 0.13 has dimension L-1. Since we are told the distance unit is km, we can say it is 0.13km-1.Poetria said:dp/dh=-0.13*p
dp/dx = ??
p - air pressure in kg/cm^2
h - height in km
I should convert h in km into x in meters.
What is the differential equation for p if altitude is measured in meters x instead of kilometers h?
haruspex said:From the equation given, you can deduce that the constant 0.13 has dimension L-1. Since we are told the distance unit is km, we can say it is 0.13km-1.
To convert to m, we need to multiply km-1 by unity in the form of a constant with units km/m. What would that be?
Right number, wrong dimension.Poetria said:Oh dear, I understand what's wrong.
0.00013 meters
Right.Poetria said:Of course:
0.00013 meters^-1
Thank you very much. :)
Air pressure is the force exerted by the weight of air in the atmosphere. It is measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).
Air pressure can be converted from units to meters using the formula: P = ρgh, where P is the pressure in pascals, ρ is the density of air in kg/m^3, g is the acceleration due to gravity (9.8 m/s^2), and h is the height in meters. This formula is based on the relationship between pressure, density, and height in a column of air.
Some common units used to measure air pressure include pascals (Pa), pounds per square inch (psi), atmospheres (atm), and millibars (mb). Different fields of study and industries may use different units, so it is important to always specify the units when discussing air pressure.
Converting air pressure to meters is important because it allows for a better understanding of the relationship between pressure and height in the atmosphere. It also allows for easier comparison between different units of air pressure and can aid in calculations and analysis in various scientific and engineering applications.
Yes, air pressure can be negative, meaning it has a value less than atmospheric pressure at sea level. Negative air pressure can occur in situations such as low-pressure systems or at high altitudes. It is important to take into account the sign of air pressure when converting units to meters.