What is the angular momentum of a rod with a mass of 4 kg and length of 9 m that is spinning around its center at 18 Hz?

1 Answer
Oct 11, 2017

The angular momentum is =3053.6kgm^2s^-1

Explanation:

The angular momentum is L=Iomega

where I is the moment of inertia

The mass of the rod is m=4kg

The length of the rod is L=9m

The moment of inertia of a rod, rotating about the center is

I=1/12*mL^2

=1/12*4*9^2= 27 kgm^2

The angular velocity is

omega=2pif=2pi*18=(36pi)rads^-1

Therefore,

The angular momentum is

L=27*36pi=3053.6kgm^2s^-1