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 3 Hz?

1 Answer
Jan 25, 2018

The angular momentum is =452.4kgm^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 frequency is f=3Hz

The angular velocity is omega=2pif=2*3*pi=6pirads^-1

The angular momentum is

L=Iomega=24*6pi=452.4kgm^2s^-1