0
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
What is the characteristic impedance of free space and why do you think so?
Characteristic impedance (Z0) is defined as E/H ratio of {E,H} field.
It depends on dielectric permettivity (epsilon), magnetic permettivity (mu) and geometry of region in which {E,H} propagates.
For free space, it's easy to believe that geometry coefficient is 1 and in the end, you get
-> Z0= square root (mu 0 / epsilon 0) = 120 pi,
where subscript 0 means mu and epsilon referred to free space and pi=3.14...
If you want to demonstrate that, you have to solve Maxwell's equation, imposing the condition of uniform plane wave travelling into free space, so you'll get an Helmholtz equation for Coulomb electric potential phi (you have to apply Lorentz's gauge condition and you'll get laplacian(phi) + k^2 phi = 0, where k=2*pi*frequency/c0 is called wave number). You solve this equation and put it into the equation linking magnetic potential vector (A) and phi. At this point, you can solve Maxwell equations and get E,H values and modulus ratio (Z0).
What was Bob Tewksbury's jersey number?
Bob Tewksbury wore #39 during his five years with the Cardinals.
bro, just do your physics homework
What is the gravitational constant?
(This should not be confused with g=9.8m/s/s)
Newton's Law of Universal Gravitation describes the gravitational force between two objects (like the sun and the Earth or the Earth and a satellite or the Earth and its moon)
gravitational force G = 6.67 × 10-11m3 kg-1 s-2 used in the formula, F = G (M1 * M2)
R2
where F is the gravitational force between two masses,
G is the gravitational constant in N,
m1 is the mass of the first object in kg,
m2 is the mass of the second object in kg,
R is distance apart
In some books, it is written as Cavendish experiment.
What is the number that you use to find pi?
the number is that you use for pi is 3.14 the number is that you use for pi is 3.14
What does atomic mass have to do with the weight of an element?
Matter is bound energy displacing space, the volume and density of displacement is the mass of the matter involved. Gravity is the attraction between matter displacing space, weight is measure of the force exerted by matter due to its gravitational attraction. Therefore the atomic mass of a collection of matter defines the gravitational attraction that matter will exert which will define the measurable weight of the matter in question.
How does the speed of microwaves compare to the speed of visible light when measured in a vacuum?
They are equal.
What is the Speed if visible light in a vacuum?
it should be 3x10^8 m s^(-1). here is the calculation:
we have known that the refractive index of vacuum is 1,
by n= v/c ( n stands for refractive index of medium, v stands for the speed of light in medium, c stands for speed of light constant)
1=v/3X10^8 m s^(-1)
v=
therefore, speed of light in vacuum is 3x10^8 m s^(-1)
actually, all light ray in electromagnetic spectrum have same speed in vacuum
What did Charles coulomb discover and when?
Charles Augustin de coulomb discovered the coulomb's law in the 1780s.
and limestone 1820
Is there a number called googol?
Yes there is. The number googol can be described as a one followed by 100 zeros.
1 googol = 10100
Why is the pi symbol used instead of the numbers?
Pi is an irrational number, can not be represented as a fraction or repeating or terminating decimal, therefore to write it as a number it must be rounded off or estimated.
Many formulas can cancel or reduce out the value for pi and make for short work of the number.
Why atomic mass is called relative atomic mass?
Atomic mass is so small you can't actually measure it. So, just like carbon dating, you have to use a relative mass.
Was is the atomic mass number for oxygen?
The mass number is the sum of neutrons and protons in the atomic nucleus and is different for each isotope of any element.
For example the isotope oxygen-16 has the mass number 16.
The mass number is not the atomic mass !!
The ratio is 2:1. The frequency doubles for each octave that you go up.
What element has an atomic mass of 50.942?
Vanadium is the element that has an atomic weight of 50.942.
How do you find the year of your Yamaha 225 Moto 4 can you use the serial number?
Use the vin number it is on the lower left frame tube between the motor and the front end. Type in Yamaha vin numbers on your computer browser. When the site comes up just type the number in. It will be a 17 digit number with letters
What is the 101 numbers of pi?
3.
14159265358979323846264338327950288419716939937510
58209749445923078164062862089986280348253421170679
8
What is the value of the algebraic expression 4m 3 if m5?
Unfortunately, this website can't reproduce most mathematical symbols, so we have to guess.
The value of 4m + 3 if m = 5 is 23
What are the order of operations when dealing with polynomials and imaginary numbers?
The order or operation remains the same as that for ordinary numbers.
- Brackets or Parentheses
- Index or Exponent
- Division and multiplication (left to right)
- Addition and subtraction (left to right).
How many dollars in 1000 euros?
1000 euros into dollars is $3668.85. This is because the ratio of euros to dollars currently is 1:1.22. So 1000 multiply by 1.22 = to $3668.85. This does vary hourly as the conversion will vary.
How can you properly imagine Graham's number?
Like a whole bowl of marbles...impossible to comprehend.
Is there a silver ratio if there's a golden ratio?
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
The square root of 2 is irrational. In general, the square root of a positive integer is either an integer (if you take the square root of a perfect square), or it is irrational.
