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Mathematical Constants
Intriguing, ubiquitous, and at times mysterious, numerical constants set the allowable limits for all universal phenomena. Whether your questions involves π, Avogadro's number, Planck's constant, the atomic mass unit, or any of the other multitudes of immutable numbers used in science, this is the category where they should be asked.
2,332 Questions
Why does an electron have mass but does not have an diameter?
It has no diameter because it is a point particle (it has nothing inside it). It has mass because the mass has been measured experimentally. If this is hard to imagine, science has lots more concepts even harder.
Which is bigger 5 in or 21 in a half cm?
I'm not sure exactly what the question is asking, so I'll answer both ideas I'm getting.
If it's 5in vs. 21 1/2 cm, then obviously 21 and 1/2 cm is bigger.
But if it's 5 in. vs. 21/2 cm, the again, 21/2 cm is still larger, being equal to 10 1/2 cm.
What is the purpose of the reduced Planck constant?
The reduced Planck constant simplifies the mathematics found in quantum physics calculations by adding a 2pi term into it. Instead of worrying about that 2pi constant, formulas using the reduced Plank constant have it built in.
How does the constant term tell you about the patterns?
The constant term in an equation tells you how much is added, subtracted, and how much a number is multiplied or divided. A perfect example of this is Direct Variation equations. if y=kx, k=-3, and x=1, 2, 3, 4, than y=-3, -6, -9, and -12.
Can you put a unit in a thing that is in scientific notation?
Yes place it at the end.
Ex. 1.11 X 10^23 km
What is the value of gravitational constant in the surface of moon?
The gravitational constant "G" is the same everywhere. The force of gravity on the moon, expressed as the acceleration of a falling body is 1.62 metres/sec2. compared with 9.81 m/s2 on the earth.
Why doesn't the electron contribute to the mass?
They do, it's just such a small contribution that in practice it's usually negligible. It takes about 1800 electrons to equal the mass of one proton.
Where did the number googol come from?
The term was coined in 1938 by Milton Sirotta (1911-1981), nephew of American
mathematician Edward Kasner, when he was nine years old. Kasner popularized the concept in his book Mathematics and the Imagination (1940).
Anything divided by 0 is UNDEFINED thus its not possible
e.g. x/0 = undefined
x= any number
What is Avogadro's number for methane?
Avogadro's number is a constant and is the same regardless of element.
No. Google is not a number, it is a search engine.
Googol, however, is a number. But it is not the highest, since "googol-plus-one" is higher. Numbers go on forever. For examples of numbers bigger than googol see the attached link.
refractive index
Why are there so many numbers in pi?
because it is the square root of ten it has a lot of numbers for accuracy
How was the gravitational constant G first determined?
The gravitational constant appears in Newton's law of universal gravitation, but it was not measured until 1798-71 years after Newton's death-by Henry Cavendish (Philosophical Transactions 1798). Cavendish measured G implicitly, using a torsion balance invented by the geologist Rev. John Michell. He used a horizontal torsion beam with lead balls whose inertia (in relation to the torsion constant) he could tell by timing the beam's oscillation. Their faint attraction to other balls placed alongside the beam was detectable by the deflection it caused. Cavendish's aim was not actually to measure the gravitational constant, but rather to measure the Earth's density relative to water, through the precise knowledge of the gravitational interaction. In retrospect, the density that Cavendish calculated implies a value for G of 6.754 × 10−11 m3/kg/s2.
The accuracy of the measured value of G has increased only modestly since the original Cavendish experiment. G is quite difficult to measure, as gravity is much weaker than other fundamental forces, and an experimental apparatus cannot be separated from the gravitational influence of other bodies. Furthermore, gravity has no established relation to other fundamental forces, so it does not appear possible to calculate it indirectly from other constants that can be measured more accurately, as is done in some other areas of physics. Published values of G have varied rather broadly, and some recent measurements of high precision are, in fact, mutually exclusive.
In the January 5, 2007 issue of Science (page 74), the report "Atom Interferometer Measurement of the Newtonian Constant of Gravity" (J. B. Fixler, G. T. Foster, J. M. McGuirk, and M. A. Kasevich) describes a new measurement of the gravitational constant. According to the abstract: "Here, we report a value of G = 6.693 × 10−11 cubic meters per kilogram second squared, with a standard error of the mean of ±0.027 × 10−11 and a systematic error of ±0.021 × 10−11 cubic meters per kilogram second squared."
What are the first 50 numbers in pi?
Have a look at the related link - it shows the first million digits !
What does the atomic mass of an element measure?
Atomic mass of an element measures the mass of that element on a molecular scale, taking into account neutrons and protons, which weigh approximately 1. Electrons are negated. Atomic mass is also the mass, in grams, of 1 mole of that element.
