# Ice Skater#

We model a 58 kg and 165 cm tall ice skater when spinning with arms and legs in as a solid cylinder of diameter $$40$$ cm.

## Part 1#

Determine her moment of inertia($$I\_{in}$$).

Please enter in a numeric value in kg $$\cdot$$ $$\rm{m^{2}}$$.

## Part 2#

Calculate her angular momentum ($$L\_{in}$$) when she is spinning with an angular speed of $$\omega\_{in}$$ = $$4$$ rev/s. [ Hint: you do not need to change rev/s to rad/s]

Please enter in a numeric value in kg $$\cdot$$ $$\rm{m^{2}}$$ $$\cdot$$ $$\frac{rev}{s}$$.

## Part 3#

She suddenly extends her arms and one of her legs outward so that her moment inertia increases to $$I\_{out}$$= $$4.3$$ kg$$\cdot$$$$\rm{m^{2}}$$ . What will be her final angular speed (in rev/s)?

Please enter in a numeric value in $$\frac{rev}{s}$$.