What Is the Correct Unit for Mean Square Velocity?

AI Thread Summary
The correct unit for mean square velocity is m²/s², as it represents the average of the squares of given velocities. The confusion arises because root-mean-square (RMS) velocity, which is often referenced, has the unit m/s. Velocity itself is measured in m/s, while acceleration is in m/s². A book stating the unit of mean square velocity as m/s may contain a typo or could be referring to RMS velocity instead. Clarifying these distinctions is essential for accurate understanding in physics discussions.
HUMERA.S
Messages
9
Reaction score
0
hi...
we know the unit of velocity is m/s2
and
while calculating the mean square velocity we find the average(or mean) of the 'squares' of the given velocities.
then the unit of MEAN SQUARE VELOCITY should be 'm2/s4'
then how come its unit is also m/s2 and not m2/s4 ?
 
Physics news on Phys.org
i think that it's m/s.
 
HUMERA.S said:
hi...
we know the unit of velocity is m/s2
and
while calculating the mean square velocity we find the average(or mean) of the 'squares' of the given velocities.
then the unit of MEAN SQUARE VELOCITY should be 'm2/s4'
then how come its unit is also m/s2 and not m2/s4 ?

The unit of velocity is m/s. m/s2 is for acceleration.
The unit of the mean of square velocity is m2/s2, but we ususally speak about root-mean-square (RMS) velocity or speed - and it is m/s.

ehild
 
ehild said:
The unit of velocity is m/s. m/s2 is for acceleration.
The unit of the mean of square velocity is m2/s2

OOOPS..! yeah sorry i made a mistake .:redface: the unit for velocity is m/s..

but is the unit of mean square velocity really m2/s2 ?
(i mean, i just want to confirm. because in my book the unit of mean square velocity is given as m/s...:confused:... so the book must be wrong .)
 
Mean square velocity is the average of the squared velocity. If it is square velocity , the unit is m2/s2. It can be a typo in your book, or they meant root-mean square velocity.

ehild
 

Thread 'Is calling fictitious forces "not real" just about terminology?'

Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
View full post »

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
View full post »

Similar threads

I Units of a vector in a velocity vs time graph?
Replies
13
Views
2K
I Feynman's derivation of average square distance variation in Brownian motion
Replies
3
Views
269
Calculating pressure with U.S. customary units
Replies
10
Views
3K
B What is physical significance of the direction of angular velocity?
Replies
2
Views
1K
How to get the units of momentum flux?
Replies
3
Views
5K
Calculate the Angular Velocity of an Arm from a Data Set
Replies
4
Views
9K
What units are used in spin factor and coefficient of lift formulas?
Replies
3
Views
2K
Effects of velocity on weight (mass?)
Replies
3
Views
2K
I Confusion about adding angular velocities
Replies
4
Views
2K
I Sound pressure and inverse distance law
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top