A little girl is going on the merry-go-round for the first time, and wants her 49 kg mother to stand next to her on the ride, 2.3 m from the merry-go-round's center. If her mother's speed is 4.7 m/swhen the ride is in motion, what is her angular momentum around the center of the merry-go-round?

Question

Physics

Shannon Rasmussen

8 December, 17:31

A little girl is going on the merry-go-round for the first time, and wants her 49 kg mother to stand next to her on the ride, 2.3 m from the merry-go-round's center. If her mother's speed is 4.7 m/swhen the ride is in motion, what is her angular momentum around the center of the merry-go-round?

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Answers (1)

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Addison Robertson · Answer 1

Given:

r = 2.3 m

v = 4.7 m/s

M = 49 kg

Momentum, L = m * r^2

= 49 * 2.3^2

= 259.2 kg m^2

w = v/r

= 4.7/2.3

= 2.04 rev/sec

Momentum, L = I * w

= 259.2 * 2.04

= 528.8 kgm^2/s.