# Unit of mean square velocity

1. Feb 13, 2013

### 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 ?

2. Feb 13, 2013

### rbj

i think that it's m/s.

3. Feb 14, 2013

### ehild

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

4. Feb 14, 2013

### HUMERA.S

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 .)

5. Feb 15, 2013

### 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