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
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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 ?
 
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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
 

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