Question

What is the angular momentum of a rod with a mass of `8 kg` and length of `6 m` that is spinning around its center at `9 Hz`?

Answer 1

The angular momentum is`=1357.2kgm^2s^-1`

Explanation:

The angular momentum is `L=Iomega`

where `I` is the moment of inertia

The mass of the rod is `m=8kg`

The length of the rod is `L=6m`

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

`I=1/12*mL^2`

`=1/12*8*6^2= 24 kgm^2`

The angular velocity is

`omega=2pif=2pixx9=18pirads^-1`

The angular momentum is

`L=Iomega=24xx18pi=1357.2kgm^2s^-1`