A \(30-\mathrm{kg}\) child running at \(1.5 \mathrm{~m} / \mathrm{s}\) jumps onto a playground merry-go-round that has inertia \(190 \mathrm{~kg}\) and radius \(1.7 \mathrm{~m}\). He is moving tangent to the platform when he jumps, and he lands right on the edge. What is the rotational speed of the merry-go-round and the child if the merry-go-round started from rest? Ignore any friction in the axle about which the platform rotates.