But g isn't constant in this case?Nidum said:
Probably, a more apt equation for you problem is the barometric formula:cruckshank said:Hi, I've been given a list of heights and corresponding densities of air at these heights. I'm trying to find an expression for the variation of density with height. From the data, it looks like the density would be equal to some kind of logarithmic relationship? However, I'm not too sure how to actually establish the equation for this.
Thanks in advance!
The density of air decreases as elevation increases. This is because the air molecules are more spread out at higher altitudes due to lower air pressure.
Density changes with elevation because the higher you go, the less air is above you, resulting in lower air pressure. The lower air pressure means that the air molecules are not as tightly packed together, resulting in a lower density.
Temperature also plays a role in the density of air at different elevations. Generally, colder air is more dense than warmer air. So, at higher elevations where the air is colder, the density will be higher compared to lower elevations with warmer air.
Air density can affect weather patterns because areas with higher air density tend to have higher air pressure, which can result in clear, stable weather conditions. On the other hand, lower air density areas with lower air pressure can lead to unstable weather and potential storm development.
The variation in density with elevation can have practical implications for a variety of activities, such as aviation, hiking, and even breathing. At high altitudes, the lower air density means that less oxygen is available, making it more difficult to breathe and perform physical activities. In aviation, pilots must take into account the density of air when calculating aircraft performance and fuel consumption. Hikers may also experience difficulty breathing and exert more effort at higher elevations due to lower air density.