What is the angular momentum of a rod with a mass of #4 kg# and length of #9 m# that is spinning around its center at #18 Hz#?

1 Answer
Oct 11, 2017

Answer:

The angular momentum is #=3053.6kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

The mass of the rod is #m=4kg#

The length of the rod is #L=9m#

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

#I=1/12*mL^2#

#=1/12*4*9^2= 27 kgm^2#

The angular velocity is

#omega=2pif=2pi*18=(36pi)rads^-1#

Therefore,

The angular momentum is

#L=27*36pi=3053.6kgm^2s^-1#