HW $12$: Rotational Dynamics Begin Date: $10/27/202412$:$01$:$00$ AM Due Date: $11/24/202411$:$59$:$00$ PM End Date: $11/24/202411$:$59$:$00$ PM

Problem $9$: $(10\%$ of Assignment Value$)$

Three children are riding on the edge of a merry$-$go$-$round that is a disk of mass $94$ kg $,$ radius $1\mathrm{.}8$ m $,$ and is spinning at $18$ rpm $.$ The children have masses of $20\mathrm{.}4$ kg $,27\mathrm{.}6$ kg $,$ and $34\mathrm{.}6$ kg $.$

Randomized Variables

$M=94kg$

$m_1=20\mathrm{.}4kg$

$m_2=27\mathrm{.}6kg$

$m_3=34\mathrm{.}6kg$

$r=1\mathrm{.}8m$

$f=18rpm$

If the child who has a mass of $27\mathrm{.}6$ kg moves to the center of the merry$-$go$-$round, what is the new magnitude of angular velocity in rpm$?$

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