hi.......... we know the unit of velocity is m/s^{2} 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 'm^{2}/s^{4}' then how come its unit is also m/s^{2} and not m^{2}/s^{4} ?
The unit of velocity is m/s. m/s^{2} is for acceleration. The unit of the mean of square velocity is m^{2}/s^{2}, but we ususally speak about root-mean-square (RMS) velocity or speed - and it is m/s. ehild
OOOPS..!! yeah sorry i made a mistake . the unit for velocity is m/s.. but is the unit of mean square velocity really m^{2}/s^{2} ???? (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 .)
Mean square velocity is the average of the squared velocity. If it is square velocity , the unit is m^{2}/s^{2}. It can be a typo in your book, or they meant root-mean square velocity. ehild