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 =
w₀
let's calculate
w = 2 2π
w = 4π rad / s