5 ms·
What makes that curve exponential?
by vecter 1y ago
What makes that curve exponential?
- westurner 1y agoNewtonian gravity (classical mechanics). Two-body gravitational attraction is observed to be an inverse square power law; gravitational attraction decreases with the square of the distance. g, the gravitational constant of Earth, is observed to be exponential; 9.8 m/s^2. Atmospheric pressure: https://en.wikipedia.org/wiki/Atmospheric_pressure#:~:text=Pressure%20(P)%2C%20mass%20(,atmospheric%20mass%20above%20that%20location. https://en.wikipedia.org/wiki/Atmospheric_pressure#:~:text=P... : > Pressure (P), mass (m), and acceleration due to gravity (g) are related by P = F/A = (m*g)/A, where A is the surface area. Atmospheric pressure is thus proportional to the weight per unit area of the atmospheric mass above that location.
- westurner 1y agoWas there an issue with this answer about why water pressure is? Are you donvoting according to preference or to Terms of Service?
- skykooler 1y agoStarting at an initial density of air, suppose you descend a distance D such that the air density doubles. Now your air is twice as dense, which doubles the pressure underneath it, meaning if you descend a further D the density will double again. Continue ad infinitum (or at least until the ideal gas law stops being a good approximation).
- nh23423fefe 1y agovia feynmann > 40–1 The exponential atmosphere https://www.feynmanlectures.caltech.edu/I_40.html https://www.feynmanlectures.caltech.edu/I_40.html