Physics question (rotation)?

Question

Pretend you have a rod, hung from an axis at one of its ends like this.

0-------------------------------

The rod rotates from this horizontal position.

Determine the angular velocity of the rod, as a function of (theta) (theta is the angle through which the rod has swung.)

Please show steps and add details, thank you.

Answer 1

using energy for 0<θ<180

.5*I*ω^2=m*g*sin(θ)*L/2
where L is the length of the rod and m is the mass of the rod.

I=m*L^2/3

plugging that in

ω=sqrt(3*g*sin(θ)/L)

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