Calculate where the top of the atmosphere would be.

  • Thread starter Thread starter Littlemac
  • Start date Start date
  • Tags Tags
    Atmosphere
Click For Summary
SUMMARY

The discussion focuses on calculating the height of the atmosphere based on a constant air density of 1.2 kg/m³ and a weight of approximately 100,000 N above a 1 square meter area. The calculation involves converting the weight to mass (10197.16 kg) and dividing by the density, resulting in an estimated height of 8497.63 m. The conversation highlights the importance of using the correct equations, specifically the relationship m = ρV, where m is mass, ρ is density, and V is volume. Additionally, it emphasizes the need for appropriate significant figures in reporting results.

PREREQUISITES
  • Understanding of basic physics concepts, particularly weight and density
  • Familiarity with the equation m = ρV (mass = density × volume)
  • Knowledge of significant figures in scientific calculations
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research the ideal gas law and its implications for atmospheric density
  • Learn about the concept of hydrostatic equilibrium in atmospheric science
  • Explore how variations in temperature affect air density and atmospheric calculations
  • Study the methods for calculating atmospheric pressure at different altitudes
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in atmospheric science or environmental studies, particularly those focusing on calculations related to air density and atmospheric pressure.

Littlemac
Messages
1
Reaction score
0
1. The weight of the atmosphere above 1 square meter of Earth's surface is about 100,000 N. Density, of course, decreases with altitude, but suppose the density of air were a constant 1.2 kg/m^3. Calculate where the top of the atmosphere would be.
- weight = 100,000 N (or 10197.16 kg)
- density = 1.2 kg/m^3


2. Convert the weight from N to kg then divide that answer (10197.16 kg) by the density (1.2 kg) to achieve the answer. Which comes out to 8497.63 m? (this is where I am having problems. I do not know which equation to use.)
 
Physics news on Phys.org
Hi Mac, :welcome:

No wonder you don't know which equation to use: you deleted '2. Homework Equations ' from the template :woot: !

However, you do mention under '3. Attempt at solution' (:nb)) something that can be translated into $$ m = \rho V$$ with m = mass, ##\rho## = density and V is volume. So you're doing fine, physically. (But PF rules are a bit unhappy :wink:)

One further comment about number of digits: if your given data are 'about 100000 N' and 'íffy' (the 1.2 kg/m3), then you don't answer in six digits that pretend an incredible accuracy. Two digits is sufficient.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
26
Views
2K
Replies
170
Views
8K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
17
Views
2K