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Answer: A person of mass 75 kg stands at the center of a
Chapter 2, Problem 61P(choose chapter or problem)
A person of mass \(75 \mathrm{~kg}\) stands at the center of a rotating merry-go-round platform of radius \(3.0 \mathrm{~m}\) and moment of inertia \(920 \mathrm{~kg} \cdot \mathrm{m}^2\). The platform rotates without friction with angular velocity \(2.0 \mathrm{rad} / \mathrm{s}\). The person walks radially to the edge of the platform.
(a) Calculate the angular velocity when the person reaches the edge.
(b) Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
Questions & Answers
QUESTION:
A person of mass \(75 \mathrm{~kg}\) stands at the center of a rotating merry-go-round platform of radius \(3.0 \mathrm{~m}\) and moment of inertia \(920 \mathrm{~kg} \cdot \mathrm{m}^2\). The platform rotates without friction with angular velocity \(2.0 \mathrm{rad} / \mathrm{s}\). The person walks radially to the edge of the platform.
(a) Calculate the angular velocity when the person reaches the edge.
(b) Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk.
ANSWER:Step 1 of 4
Part (a)
Apply the conservation of angular momentum. The equation can be expressed as,