please explain the dimensional analysis, and atomic structure?
The conversion table for metric to English and English to metric?
Dimensional analysis is the procedure for changing from one unit to another. For example, convert 12 inches to centimeters. The conversion step is as follows:
12 inches x factor = ??cm
Now for the factor. Actually, there are two factors. We know there are 2.54 cm in 1 inch. So the factors are
1 in/2.54 cm AND
2.54 cm/1 in.
So all we need to do in a conversion is use the right factor. Everything else is in place. We have a 50-50 chance of getting the right factor by chance; we use a little common sense and we get it right every time.
Back to the original which is
12 inches x factor = ??cm
We want the factor to be arranged so that the unit we don't want to keep (in this case inches) cancels and the unit we want to keep (in this case cm) stays. So we make the factor 2.54 cm/1 in and put that in for the factor.
12 inches x factor = ??cm.
12 inches x (2.54 cm/1 in) = ??
You see inches in the numerator cancels with the in (for inches) in the denominator and that is the unit we want to get rid of. The cm in the numerator stays and that is the one we want to stay because we want the new units in cm. That's all dimensinal analysis is.
As for atomic structure, that is a couple of chapters in a text. We shall be happy to help if you narrow your question a little. Thanks for using Jiskha.
Dimensional analysis, also known as unit conversion, is a problem-solving technique used in physics, chemistry, and other sciences to convert from one unit to another. It involves using conversion factors, which are ratios that express the relationship between two different units.
To perform dimensional analysis, you need to have a known conversion factor between the two units you are working with. These conversion factors can be obtained from conversion tables or formulas.
For example, if you want to convert 12 inches to centimeters, you would use the conversion factor 2.54 cm/1 inch. This conversion factor is derived from the fact that there are 2.54 centimeters in one inch.
To perform the conversion, you would set up an equation like this:
12 inches x (2.54 cm/1 inch) = ?? cm
The inches in the numerator and the denominator cancel out, leaving only centimeters as the desired unit. You multiply 12 by the value of the conversion factor to get the equivalent value in centimeters.
As for atomic structure, it is a complex topic that involves understanding the structure and behavior of atoms, which are the basic building blocks of matter. The atomic structure includes subatomic particles such as protons, neutrons, and electrons, as well as the organization of these particles within an atom.
If you have specific questions about atomic structure, please provide more details, and I can provide information on that specific aspect.