What is the angular momentum of a rod with a mass of #2 kg# and length of #7 m# that is spinning around its center at #13 Hz#?

1 Answer
Apr 7, 2017

The angular mmentum is #=667.1kgm^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*2*7^2= 8.17 kgm^2#

The angular velocity is

#omega=13*2pi=(26pi)rads^-1#

The angular momentum is

#L=8.17*26pi=667.1kgm^2s^-1#