A cylinder has inner and outer radii of #2 cm# and #5 cm#, respectively, and a mass of #8 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #12 Hz# to #8 Hz#, by how much does its angular momentum change?

1 Answer
Apr 30, 2017

Answer:

The change in angular momentum is #=0.29kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

Mass, #m=8kg#

For a cylinder, #I=m((r_1^2+r_2^2))/2#

So, #I=8*((0.02^2+0.05^2))/2=0.0116kgm^2#

The change in angular momentum is

#DeltaL=IDelta omega#

The change in angular velocity is

#Delta omega=(12-8)*2pi=(8pi)rads^-1#

The change in angular momentum is

#DeltaL=0.0116*8pi=0.29kgm^2s^-1#