# Dinner Plate#

A cylindrical dinner plate is spinning out in space. It has mass $$m_p =$$ 1.15 $$kg$$, radius $$r =$$ 0.48 $$m$$ and it rotates clockwise (as seen from above) 4 times every second. A (non-rotating) cylindrical cake is shot at it and the cake sticks to the surface of the plate. The cake has a mass $$m =$$ 2.52 $$kg$$ and radius $$r =$$ 0.26 $$m$$. In the end, both the cake and the plate rotate together.

## Part 1#

Calculate the initial angular velocity of the plate.

## Part 2#

Calculate the moment of interia of the plate.

Please enter in a numeric value in $$kg m^2$$.

## Part 3#

Calculate the initial angular momentum of the system.

Please enter in a numeric value in $$kg m^2$$/s.

## Part 4#

Calculate the final angular velocity of the system.