Asked by kate
A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 240 kg and a radius of 1.4 m. A 33- kg child rides at the center of the merry-go-round while a playmate sets it turning at 0.20rpm. If the child then walks along a radius to the outer edge of the disk, how fast will the disk be turning?
Answers
Answered by
bobpursley
conservation of momentum applies, in this case, angular momentum.
Diskmomentum=I*w
Boy momentum=33*r*2PI*.2/60
set them equal, w will be in rad/sec
disk moment of inertial is 1/2*240*r if you didn't know. Thin disk.
Diskmomentum=I*w
Boy momentum=33*r*2PI*.2/60
set them equal, w will be in rad/sec
disk moment of inertial is 1/2*240*r if you didn't know. Thin disk.
Answered by
kate
the answer has to be in rpm, so does that mean that i'm not supposed to multiply by 2PI/60?
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