Ila 10 Homework Begin Date: 6/20/2018 12:01:00 AM-Due Date: 6/29/2018 11 59 00 P

Question

Ila 10 Homework Begin Date: 6/20/2018 12:01:00 AM-Due Date: 6/29/2018 11 59 00 PM End Date: 762018 1159 (8%) Problem 12. Three children are nding on the edge of a merry-g -round that is a dask of mass 110 kg. radius 1,5 m, and is spinning at 15 rpm. The children have masses of 20.4 kg, 28.4 kg, and 31.8 kg Randomized Variables M- 110 kg m120.4 kg mys 28.4 kg m3= 31,8 kg r 1.5 m f 15 rpm Ifthe child who has a mass of 28.4 kg moves to the center ofthe merry go round, what is the new magnitude of angular velocity in rpm, Grade Summary ? sinn

Explanation / Answer

Here

let the final angular speed is wf

Using conservation of angular momentum

Initial angular momentum = final angular momentum

(0.50 * 110 * 1.5^2 + 20.4 * 1.5^2 + 28.4 * 1.5^2 + 31.8 * 1.5^2) * 15 = (0.50 * 110 * 1.5^2 + 20.4 * 1.5^2 + 28.4 * 0^2 + 31.8 * 1.5^2) * wf

solving for wf

wf = 19 rpm

the final angular speed is 19 rpm

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