A gear, a lever, and a pulley are simple machines.
This is a picture of a <em>Spirograph</em>. "Spirograph" is the trademarked name of a commercial product sold in toy stores. It's designed to help you draw cool and goofy patterns on paper. It's not a simple machine.
To solve the problem it is necessary to use the concepts of Orbital Speed considering its density, and its angular displacement.
In general terms the Orbital speed is described as,
![V_{orbit} = \sqrt{\frac{G\rho 4\pi r^3}{3}}](https://tex.z-dn.net/?f=V_%7Borbit%7D%20%3D%20%5Csqrt%7B%5Cfrac%7BG%5Crho%204%5Cpi%20r%5E3%7D%7B3%7D%7D)
PART A) If the orbital speed of a star in this galaxy is constant at any radius, then,
![\frac{4\pi G\rho r}{3} = \frac{v^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20G%5Crho%20r%7D%7B3%7D%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
![\frac{4\pi G\rho r}{1} = \frac{3v^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20G%5Crho%20r%7D%7B1%7D%20%3D%20%5Cfrac%7B3v%5E2%7D%7Br%7D)
![\frac{\rho}{1} = \frac{3v^2}{r^2 4\pi G}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Crho%7D%7B1%7D%20%3D%20%5Cfrac%7B3v%5E2%7D%7Br%5E2%204%5Cpi%20G%7D)
![\rho = \frac{1}{r^2}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7B1%7D%7Br%5E2%7D)
PART B) This time we have
, where
is the angular velocity (constant at this case)
![\frac{4\pi G\rho r}{3} = \frac{v^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20G%5Crho%20r%7D%7B3%7D%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
![\frac{4\pi G\rho r}{3} = \frac{(\omega r)^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20G%5Crho%20r%7D%7B3%7D%20%3D%20%5Cfrac%7B%28%5Comega%20r%29%5E2%7D%7Br%7D)
![\rho = \frac{3\omega r}{4\pi Gr}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7B3%5Comega%20r%7D%7B4%5Cpi%20Gr%7D)
![\rho = \frac{3\omega^2}{4\pi G} \propto constant](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cfrac%7B3%5Comega%5E2%7D%7B4%5Cpi%20G%7D%20%5Cpropto%20constant)
PART C) If the total mass interior to any radius r is a constant,
![\frac{4\pi G\rho r}{3} = \frac{v^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20G%5Crho%20r%7D%7B3%7D%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
![\frac{GM}{r^2}=\frac{v^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BGM%7D%7Br%5E2%7D%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
![v = \sqrt{\frac{GM}{r}}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7BGM%7D%7Br%7D%7D)
![v= \sqrt{\frac{1}{r}}](https://tex.z-dn.net/?f=v%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7Br%7D%7D)
Answer : a. Community
Allows a system to be accessible by a group of organizations. It can be shared between several organizations. It may be managed by organizations or by the third party.
This should be chosen by Ryan, since this computing model is cost effective and best to share among companies and organizations.
Other options explained:
-Software model is accessible via a browser and multiple users can use it.
-Infrastructure model is based on providing services of computer architecture in a virtual environment
True i think like ya cut g
The kind of vegetation that alfisols support is a temperate forest. Alfisols develop under the temperate broadleaf deciduous forests. Broadleaf trees tend to be nutrient demanding, and their leaves are filled with major nutrient elements. The litter from this type of forest is not the acidic type, either.