Bob gets a summer job operating a merry-go-round. During the first run he sees that a full revolution takes 5-s, so he decides to “kick it up a notch” such that a full revolution takes 2.5-s. (a) What are the respective angular velocities? (b) If it took the merry-go-round 5-s to increase its velocity, what angular acceleration did the kids on the ride experience? (c) At the higher angular velocity, what would a boy’s linear velocity be if he is sitting on a lion 2-m from the center? (d) What are the components of his linear acceleration half-way through the angular velocity change?

Bob gets a summer job operating a merry-go-round. During the first run he sees that a full revolution takes 5-s, so he decides to “kick it up a notch” such that a full revolution takes 2.5-s. (a) What are the respective angular velocities? (b) If it took the merry-go-round 5-s to increase its velocity, what angular acceleration did the kids on the ride experience? (c) At the higher angular velocity, what would a boy’s linear velocity be if he is sitting on a lion 2-m from the center? (d) What are the components of his linear acceleration half-way through the angular velocity change?

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