What Is the Correct Unit for Mean Square Velocity?

[HUMERA.S]

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 ?

 

[rbj]

i think that it's m/s.

 

[ehild]

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

 

[HUMERA.S]

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 . 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...... so the book must be wrong .)

 

[ehild]

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