Answer: True
Step-by-step explanation:
When riding at the center, the angular momentum is
Iω²
where I = rotational inertia
ω = angular velocity.
When you move away from the center to a radius r, you add to the rotational inertia by mr², where m is your mass.
The new rotational inertia becomes I + mr².
If the new angular velocity is ω₁. then
(I + mr²)ω₁² = Iω²
Therefore
ω₁² = Iω²/(I + mr²)
Therefore ω₁ < ω in order to conserve angular momentum.