Question

What is the angular momentum about the axle of the 2.0 kg, 4.0-cm-diameter rotating disk?

Answer 1

The angular momentum of a rotating disk is
`\rm0.025 kg m^2/s`

Step-by-step explanation:

When there are no external torques acting on rotating objects, their angular momentum remains conserved. It is dependent upon the rotational velocity and mass distribution of an object. Angular momentum is changed by a change in mass distribution or a speed increase during rotation.

Given:

m= 2kg

d= 4.0 cm

r= 2.0cm=
`\rm 2* 10^-^2`m

W= 600 rpm

= 600* 2π/ 60 rad/s

= 62.83 rad/s

Angular momentum, L= IW

L=
`\rm [(1)/(2) mr^2] W\\`

`\rm L= [(1)/(2) (2kg) (2 x 10^-^2m)^2] 62.83 rad/s\\L= 0.025 kg m^2/s`