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please help solve step by step. Thank you. emView?a tProblemiD 92356293&Loffset;

ID: 2030863 • Letter: P

Question

please help solve step by step. Thank you.

emView?a tProblemiD 92356293&Loffset; next Assignment &. Equilibrium and momentum Problem 9.33 Part A A ittle girl is going on the merry-go tound for the first time, and wants her 47 kg mother to stand next to her on the ride, 2.6 in from the merry-go- round's center If her mother's speed is 4.1 m/s when the nide is in motion, what is her angdar me the center of the merry-go-Hound? Express your answer using two signilicant figures. Submit Provide Feesback ion.masteringphyics.com/myctitemVitew assignmenProblemD-923624 Bofit net -00 8 PO 8 M

Explanation / Answer

v/radius = omega = rad/s

4.1/2.6 = 1.576 rad/s

angular momentum = Inertia x omega = kg-m^2/sec

We have found omega = 1.576 rad/s

We need to solve for inertia.

Inertia for this would be taken as mr^2 = 47 x 2.6^2 = 317.72 kg-m^2

units for inertia are (kg-m^2)

omega x inertia = angular momentum

1.576 x 317.72 = 500.726 kg-m^2/sec