I'm studying pendulums, and the units have me a bit confused.
In a pendulum, Iw^2=mgL.
Putting together the units of the left side of the equation, we get gm^2 (rads^-1)^2=g(m^2)(s^-2)(rad^2).
But the units of the right side of the equation equal g(m^2)(s^-2)
Where does the unit radian fit in? How do I deal with the unit radian when dealing with measures of linear speed?