A (25-mathrm{kg}) child starts at the center of a playground merrygo-round that has a radius of (2.0

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A \(25-\mathrm{kg}\) child starts at the center of a playground merrygo-round that has a radius of \(2.0 \mathrm{~m}\) and rotational inertia of \(500 \mathrm{~kg} \cdot \mathrm{m}^{2}\) and walks out to the edge. If the merry-go-round has a rotational speed of \(0.20 \mathrm{~s}^{-1}\) when she is at the center, what is its rotational speed when she gets to the edge?

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