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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?

Qmechanic
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