A
I have a question regarding the DC motor constant Km. I know that the first order transfer function of a DC motor, ignoring motor inductance, is given as Km/(ts+1) (where Km is supposedly the motor constant, and t is the mechanical time constant). My question is whether or not the first order Km--in units of rad/(sec-V)--can be converted to the spec sheet Km--in units of N-m/W^.5. I've proven that 't' is in fact the mechanical time constant given on the spec sheet, but a can't seem to convert rad/(sec-V) to N-m/W^.5. Is the first order Km an approximation like the transfer function it came from? Any help is appreciated.