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As seen from above, a playground carousel is rotating counterclockwise about its

ID: 2151405 • Letter: A

Question

As seen from above, 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 1.50 m, an initial angular speed of 3.12 rad/s, and a moment of inertia of 125 kg

Explanation / Answer

applying conservation of angular momentum , I1 W1 =( I1 + I2) w2 where I1 = moment of inertia of carousel I2= moment of inertia of man on the edge. we get W2= 1.776 rad/s