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#?

1 Answer
May 5, 2018

Answer:

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#