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A disk-shaped merry-go-round of radius 2.03m and mass 185kg rotates freely with

ID: 2102090 • Letter: A

Question

A disk-shaped merry-go-round of radius 2.03m and mass 185kg rotates freely with an angular speed of 0.671rev/s . A 60.4kg person running tangential to the rim of the merry-go-round at 3.51 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. What is the final angular speed of the merry-go-round? omega_f= ____ rad/s A disk-shaped merry-go-round of radius 2.03m and mass 185kg rotates freely with an angular speed of 0.671rev/s . A 60.4kg person running tangential to the rim of the merry-go-round at 3.51 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. What is the final angular speed of the merry-go-round? omega_f= ____ rad/s

Explanation / Answer

0.5*185*2.03^2 * 4.21 + 60.4*3.51*2.03 = ( 0.5*185*2.03^2 + 60.4*2.03^2) * w


w = 2035.149 / 630.085 = 3.229 rad/s

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