Do I convert ω to degrees per second when finding capacitor value from impedance?

[Tekneek]

Homework Statement

I am trying to find value of a capacitor knowing capacitor impedance (Phasor) and ω (in rad/sec).

The Attempt at a Solution

Z_c = -j/ωC
C = -j/ωZ_c

My question is do I have to convert the ω into degrees/sec before doing the calculations since Z(impedance) is in phasor form? I think i need to but just want to make sure.

 

[rude man]

Omega is in radians per second.
So the answer is No.