in mathematics, what does RMS stand for?

Answer 1

RMS is an electrical term refering to ac power. It means "root-mean-square".

Answer 2

A battery supplies D.C. (direct current) and it is easy to calculate the relationship between (constant) voltage and (constant) current using the formula E = IR. However, for sinusoidal (A.C.) voltage and current only instantaneous values can be calculated as voltage increases, decreases and reverses. Using RMS (root mean square) well described by others, average voltage can be used to calculate average current as though the resistor (R) is exposed to a battery. Calculations for A.C. (alternate current) become far more complex if the circuit also contains capacitors (charged plates) and/or reactors (wire coils) because electromagnetic fields are constantly building up and decaying and interact in a complex way. But that is how a radio is tuned to a station of a given frequency.

Answer 3

Hi,

RMS stands for Root Mean Square. Whenever we have a system that is constantly changing it is often difficult to calculate the mean value of something for example the current or voltage in a circuit that is subject to an oscillating voltage source or the relative speed of molecules in a gas. Calculating the mean of the thing we wish to calculate squared is often alot simpler so as an approximation to the mean we calculate the mean of that thing squared and then take the square root. In symbols, if we call the mean of a value c then the root mean squared =square root of (). Notice that the squared is inside the pointy brackets to show that it is the mean of c^2 not the
(mean of c)^2 . You will have probably first encountered this in AC circuit theory where the root mean square current and voltage is often used to find the average power dissapated over one cycle and are eqaul to the peak current or voltages divided by the squaure root of 2.

Jez

Answer 4

Root Mean Square(RMS)/Quadratic Mean(QM) Definition:
Square root of the mean square value of a random variable. In otherwords, we can define the root mean square is a statistical measure of the magnitude of a varying quantity. It can be calculated for a series of discrete values or for a continuously varying function. It is also known as Quadratic Mean(QM).

Root Mean Square/Quadratic Mean Formula:
Root Mean Square/Quadratic Mean = Sqrt((X1)2+(X2)2+(X3)2+........+(XN)2/N)
where
X = Individual score
N = Sample size (Number of scores)



Root Mean Square(RMS) Example: To find the Root Mean Square of -2,-1,-3,1,5.

Step 1: Count the total number of values.
N = 5

Step 2: Square all the values.
4,1,9,1,25

Step 3: Take the average of the square values.
4+1+9+1+25/5 = 40/5 = 8

Step 4: Take the square root of the average values.
RMS/QM = sqrt(8) = 2.83


This example will guide you to calculate the Root Mean square/Quadratic Mean manually.

Answer 5

RMS means "root mean square".

If you take an alternating waveform and average it out over time, you wind up with zero because part of the waveform's negative, so mean ("average") by itself is useless for measuring AC. But if you square the voltage, the negative portion translates to the positive side, so you can get a meaningful average. Then you take the square root of the mean square to restore the original value scale. And you have root mean square.

Answer 6

Rms stands for root-mean-square.

RMS refers to the most common mathematical method of defining the effective voltage or current of an AC wave. For a sine wave, the rms value is 0.707 times the peak value, or 0.354 times the peak-to-peak value. (basic electronics)

How to get the facts, formulas, etc...
http://www.eznec.com/Amateur/RMS_Power.pdf

Answer 7

RMS is also a maths package used in primary schools, giving kids an individual maths lesson. If they get answers right questions get a bit harder, if they get them wrong then the next question is a little easier. Reports monthly to teacher to track what each kid is up to and what their weak areas are.

Answer 8

the root mean square or RMS
value of a function over a
given interval is the square root
of the mean value of its square
over that interval
the RMS value of an alternating
electrical quantity over a
period is also called its
virtual value

i hope that this helps

Answer 9

RMS is Reply Mate Soon.

Answer 10

root mean square