A solid disk, spinning counter-clockwise, has a mass of #5 kg# and a radius of #6 m#. If a point on the edge of the disk is moving at #8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

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Answer 1 · 2017-10-29T06:15:28

The angular momentum is #=120kgm^2s^-1# and the angular velocity is #=4/3rads^-1#

The angular velocity is

#omega=(Deltatheta)/(Deltat)#

#v=r*((Deltatheta)/(Deltat))=r omega#

#omega=v/r#

where,

#v=8ms^(-1)#

#r=6m#

So,

#omega=(8)/(6)=4/3rads^-1#

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

For a solid disc, #I=(mr^2)/2#

So, #I=5*(6)^2/2=90kgm^2#

The angular momentum is

#L=90*4/3=120kgm^2s^-1#