Question

What is the angular momentum of a rod with a mass of `7 kg` and length of `6 m` that is spinning around its center at `2 Hz`?

Answer 1

The angular momentum is `=263.9kgm^2s^-1`

Explanation:

The angular momentum is `L=Iomega`

where `I` is the moment of inertia

And `omega` is the angular velocity

The mass of the rod is `m=7kg`

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*7*6^2= 21 kgm^2`

The frequency is `f=2Hz`

The angular velocity is

`omega=2pif=2pi*2=4pirads^-1`

The angular momentum is

`L=21*4pi=263.9kgm^2s^-1`