A solid disk, spinning counter-clockwise, has a mass of $9 kg$ and a radius of $3/2 m$ . If a point on the edge of the disk is moving at $9/2 m/s$ in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

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Answer 1 · 2017-08-23T15:52:13

The angular momentum is $=30.38kgm^2s^-1$ . The angular velocity is $=3rads^-1$

The angular velocity is

$omega=(Deltatheta)/(Deltat)$

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

$omega=v/r$

where,

$v=9/2ms^(-1)$

$r=3/2m$

So,

$omega=(9/2)/(3/2)=3rads^-1$

The angular momentum is $L=Iomega$

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

So, $I=9*(3/2)^2/2=81/8kgm^2$

$L=81/8*3=30.38kgm^2s^-1$

A solid disk, spinning counter-clockwise, has a mass of 9 kg9 kg and a radius of 3/2 m3/2 m. If a point on the edge of the disk is moving at 9/2 m/s9/2 m/s in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?