A cylinder has inner and outer radii of $8 cm$ and $12 cm$ , respectively, and a mass of $8 kg$ . If the cylinder's frequency of counterclockwise rotation about its center changes from $1 Hz$ to $7 Hz$ , by how much does its angular momentum change?

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Answer 1 · 2017-07-25T17:56:19

The change in angular momentum is $=3.14kgm^2s^-1$

The angular momentum is $L=Iomega$

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

So, $I=8*(0.08^2+0.12^2)/2=0.0832kgm^2$

The change in angular velocity is

$Delta omega=(7-1)*2pi=12pirads^-1$

The change in angular momentum is

$DeltaL=IDelta omega$

$=0.0832*12pi=3.14kgm^2s^-1$

A cylinder has inner and outer radii of 8 cm8 cm and 12 cm12 cm, respectively, and a mass of 8 kg8 kg. If the cylinder's frequency of counterclockwise rotation about its center changes from 1 Hz1 Hz to 7 Hz7 Hz, by how much does its angular momentum change?