give me the definition of root mean square velocity?

Question

wat is root mean square velocity explain it

Answer 1

It usually it applies to a sinusoidal motion. which has both a positive value and a negative value.If we square it the negative vallue disappears. We take the average value at70.7% of the amplitude ot the wave. That is called the root mean square value.
When objects move their velocity is oscilliatory. There is no such thing a linear velocity that moves as a linear constant. All motion are Undulatory. In the Universe Uniform velocity does not exist.
For example; The Earth is a very large particle of mass.
The Earth when moving in space behaves both as a particle and a wave. The motion of the Earth is a wave type of motion.
(See Louis Debroglie postulate)

Answer 2

It means the square root of the mean (average) of the square of the velocity.

In other words:

1. Take the quantity v² and average that over some time interval. (You can use various math techniques, usually involving calculus, to find that average).

2. Take the square root of the average that you found in Step 1.

The result is the root-mean-square (rms) velocity.

Answer 3

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The Kinetic Molecular Theory definition of temperature is average translational kinetic energy of gas molecules (multiplied with some constants, as per the Maxwell speed distribution theory). KE_avg = 3/2*R*T/N_A And the associated molecular speed (v_rms) of the molecule with the average translational KE: KE_avg = 1/2*(M/N_A)*v_rms^2 Combining and solving for v_rms: v_rms = sqrt(3*R*T/M) We do need to know the effective molar mass. For Air, it is M=28.97 kg/kmol. Data: R:=8314 J/kmol-K; T:=295.35 K; M:=28.97 kg/kmol