Question

A cylinder has inner and outer radii of `4 cm` and `7 cm`, respectively, and a mass of `6 kg`. If the cylinder's frequency of counterclockwise rotation about its center changes from `7 Hz` to `12 Hz`, by how much does its angular momentum change?

Answer 1

The change in angular momentum is `=0.61kgm^2s^-1`

Explanation:

The angular momentum is `L=Iomega`

where `I` is the moment of inertia

Mass, `m=1kg`

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

So, `I=6*((0.04^2+0.07^2))/2=0.0195kgm^2`

The change in angular momentum is

`DeltaL=IDelta omega`

The change in angular velocity is

`Delta omega=(12-7)*2pi=(10pi)rads^-1`

The change in angular momentum is

`DeltaL=0.0195*10pi=0.61kgm^2s^-1`