R. Una bailarina gira con una frecuencia de 1hz y momento de inercia i = 28.14kg . M2. Calcule su velocidad de giro cuando disminuye su momento de inercia a la mitad.

 w = 4π   rad / s

Explanation:

When the dancer is turning, the body is isolated so the angular momentum is conserved.

initial

         L₀ = I₀ w₀

final

         L_f = I w

in this case it indicates that the initial moment is Io = 28.14 kg m² and the final moment is half

         I = I₀ / 2

frequency and angular velocity are related

         w = 2π f

          w = 2π 1

          wo = 2π   rad / s

how angular momentum is conserved

          L₀ = L_f

          I₀ w₀ = I w

          w =  w₀

let's calculate

          w = 2 2π

          w = 4π   rad / s

not too sure thinking all accelerations are pointed down