A cylinder has inner and outer radii of $2 cm$ and $4 cm$ , respectively, and a mass of $12 kg$ . If the cylinder's frequency of counterclockwise rotation about its center changes from $4 Hz$ to $7 Hz$ , by how much does its angular momentum change?

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Answer 1 · 2017-03-03T20:17:14

The change in angular momentum is $=0.33kgm^2s^-1$

The angular momentum is $L=Iomega$

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

So, $I=12*(0.02^2+0.05^2)/2=0.0174kgm^2$

The change in angular momentum is

$DeltaL=IDelta omega$

$Delta omega=(7-4)*2pi=6pirads^-1$

$DeltaL=0.0174*6pi=0.33kgm^2s^-1$

A cylinder has inner and outer radii of 2 cm2 cm and 4 cm4 cm, respectively, and a mass of 12 kg12 kg. If the cylinder's frequency of counterclockwise rotation about its center changes from 4 Hz4 Hz to 7 Hz7 Hz, by how much does its angular momentum change?