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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.

1 Answer

3 votes

Answer:

w = 4π rad / s

Step-by-step 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 =
(I_o)/(I) w₀

let's calculate

w = 2 2π

w = 4π rad / s

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