## Question

###### A solid disk, spinning counter-clockwise, has a mass of #12 kg# and a radius of #6 m#. If a point on the edge of the disk is moving at #15 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

A solid disk, spinning counter-clockwise, has a mass of #12 kg# and a radius of #6 m#. If a point on the edge of the disk is moving at #15 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?

## Answers

The angular momentum is

#=720pi=2262kgm^2s^(-1)#

The angular velocity is#=(10pi)/3 =10.5rads^(-1)# ## Explanation:

The angular velocity,

#omega=v/r=15/6Hz=5/3*2pirads^(-1)=(10pi)/3 rads^(-1)# The angular momentum is

#L=Iomega# Where

#I# is the moment of inertiaFor a solid disc,

#I=1/2*m*r^2#

#I=1/2*12*6^2=216 kgm^2# The angular momentum is

#L=216*(10pi)/3=(720pi)kg m^2s^(-1)#

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