Angular velocity "\$ω\$" of a DC motor is: \$ω = (2\times π \times n) / 60\$

Where "\$n\$" is RPM.

And not \$ω = (2 \times π \times n \times p) / (60)\$ like in synchronous motors, where "\$p\$" is the number of pole pairs.

I know that the angular velocity of the DC motor doesn't depend on the number of pole pairs, but I don't understand why.