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#?

1 Answer
Feb 7, 2018

Answer:

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#