Question

In performing rotational motion in an ice capade, which skaters must skate faster, those further in or those further out? Explain the reasoning for your conclusion using concept of rotational inertia.

Answer 1

if the angular momentum is constant, the skater is closer, going faster.

w₂ = r₁² / r₂² w₁

Step-by-step explanation:

For the skaters to perform in the turn in l, the angular number of the same must be equal, so we stammer the concept of conservation of angular momentum

L₁ = L₂

the angular momentum is

L = I w

we substitute

I₁ w₁ = I₂ w₂

w₂ =
`(I_(1) )/(I_(2) )` w₁

if we consider the skater as a particle, his moment of inertia is

I = m r²

we substitute

w₂ = r₁² / r₂² w₁

therefore, if the angular momentum is constant, the skater is closer, going faster.