About dimension of R*C and 1/(R*C)

[Johnny_YU]

HI ALL
I wonder ,when R*C ,it's dimension is 1/s ,when 1/(R*C) ,it's dimension is rad/s.
Why, how to explain?
Thank YOU

 

[zorro]

Dimension of R*C is time (i.e., s).
So, 1/(RC) has dimension if 1/s (i.e. Hz or cycles/s) or rad/s.
Conversion from Hz to rad/s is done by the dimensionless constant 2*pi, as well as conversion from cycles to radians.
Regards

Z

 

[LvW]

HI ALL
I wonder ,when R*C ,it's dimension is 1/s ,when 1/(R*C) ,it's dimension is rad/s.
Why, how to explain?
Thank YOU

The dimension of R*C is seconds (s).
The invers expression 1/RC is identical to the "angular frequency w" with w=2*Pi*f.
Since the frequency f is given in Hz=1/s, we get the angular frequency by multiplying it with 2*Pi (rad).
Hence, w is given in rad/s .

EDIT: Sorry, crossing post with Zorro