What is the angular momentum of a rod with a mass of #5 kg# and length of #4 m# that is spinning around its center at # 2 7 Hz#?

1 Answer
Jun 19, 2017

Answer:

The angular momentum is #=1131kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

and #omega # is the angular velocity

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

#I=1/12*mL^2#

#=1/12*5*4^2= 20/3 kgm^2#

The angular velocity is

#omega=2pif=2pi*27=54pirads^-1#

The angular momentum is

#L=I omega=20/3*54pi=1131kgm^2s^-1#