What is the angular momentum of a rod with a mass of 8kg and length of 4m that is spinning around its center at 8Hz?

1 Answer
Dec 10, 2017

The angular momentum is =536.2kgm2

Explanation:

The angular momentum is L=Iω

where I is the moment of inertia

and ω is the angular velocity

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

I=112mL2

The mass of the rod is m=8kg

The length of the rod is L=4m

Therefore, the moment of inertia is

L=112842=10.67kgm2

The frequency is f=8Hz

The angular velocity is ω=2πf=16π

Then,

The angular momentum is

L=Iω=10.6716π=536.2kgm2