Answer:
The angular speed of the new system is
.
Explanation:
Due to the absence of external forces between both disks, the Principle of Angular Momentum Conservation is observed. Since axes of rotation of each disk coincide with each other, the principle can be simplified into its scalar form. The magnitude of the Angular Momentum is equal to the product of the moment of inertial and angular speed. When both disks begin to rotate, moment of inertia is doubled and angular speed halved. That is:
![I\cdot \omega_{o} = 2\cdot I \cdot \omega_{f}](https://tex.z-dn.net/?f=I%5Ccdot%20%5Comega_%7Bo%7D%20%3D%202%5Ccdot%20I%20%5Ccdot%20%5Comega_%7Bf%7D)
Where:
- Moment of inertia of a disk, measured in kilogram-square meter.
- Initial angular speed, measured in radians per second.
- Final angular speed, measured in radians per second.
This relationship is simplified and final angular speed can be determined in terms of initial angular speed:
![\omega_{f} = \frac{1}{2}\cdot \omega_{o}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Comega_%7Bo%7D)
Given that
, the angular speed of the new system is:
![\omega_{f} = \frac{1}{2}\cdot \left(6\,\frac{rad}{s} \right)](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cleft%286%5C%2C%5Cfrac%7Brad%7D%7Bs%7D%20%5Cright%29)
![\omega_{f} = 3\,\frac{rad}{s}](https://tex.z-dn.net/?f=%5Comega_%7Bf%7D%20%3D%203%5C%2C%5Cfrac%7Brad%7D%7Bs%7D)
The angular speed of the new system is
.
I can't see that cube from here.
But if the length of the side of the cube is ' K ' units,
then the surface area of the cube is 6K² units², and
the volume of the cube is K³ units³.
The ratio of the surface area to the volume is
(6K² units²) / (K³ units³) = (6) / (K units) .
So for example, if the side of the cube is 2 inches, then
the ratio of surface area to volume is "3 per inch".
That's the answer. I did the whole thing in order to earn
the points, but I don't expect you to understand much of it,
because I see from your username that you suck at math.
I'm sorry you decided that. Now that you've put up the
brick wall, it'll be even harder for any math to find its way
in there, and you'll miss out on a lot of the fun.
C. Amount of oxygen
The others either change but don’t decrease or they increase.
1- You should always have a question for your experiment.
2- You need to conduct background research. It helps to write down your sources so you can cite your references.
3- Propose a hypothesis (educated guess on what you believe the outcome of the experiment will be)
4- Design and perform an experiment to test your hypothesis (include independent and dependent variable)
5- Record observations and analyze what the data means.
6- Conclude whether you need to accept or reject your hypothesis, which accepting means your hypothesis was right and rejected is if it was wrong.
Answer:
D. Less rain and snow.
Explanation:
A factor that can be a account for a drop in the water table is, less rain and snow. to topography, water tables is influenced by lot of factors, including the geology, weather, ground cover.