A playground carousel is rotating counterclockwise about its center on frictionl

Question

A playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.58 m, an initial angular speed of 3.40 rad/s, and a moment of inertia of 130 kg

Explanation / Answer

Well I have the same question but lets put some values in so you have an idea of how to solve for your values. angular speed=0 radius (r) = 1.52 m initial angular speed (v) = 3.19 rad/s moment of inertia (i) = 124 kg*m^2 mass (m) = 41.1 kg We want to solve for the final angular speed (w) of the carousel after the person climbs aboard. general equation v*i = w*i + w(r^2)m (3.19)(124) = w(124) + w(1.52^2)(41.1) solve for w=1.81 rad/s

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