A cylinder has inner and outer radii of #12 cm# and #18 cm#, respectively, and a mass of #6 kg#. If the cylinder's frequency of rotation about its center changes from #7 Hz# to #3 Hz#, by how much does its angular momentum change?

1 Answer
Jul 26, 2017

Answer:

The change in the angular momentum is #=3.53kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

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

So, #I=6*((0.12^2+0.18^2))/2=0.1404kgm^2#

The change in angular velocity is

#Delta omega=(7-3)*2pi=8pirads^-1#

The change in angular momentum is

#DeltaL=IDelta omega#

#=0.1404*8pi=3.53kgm^2s^-1#