A man is sitting on a flat disc that is rotating. The disc mass is 200 kg, with a radius of 3 meters. He has a mass of 75 kg, and initially is sitting 2.5 meters from the center. Here he and the disc are rotating at 2.0 rad/sec. He wants to increase the angular velocity they rotate to 2.5 rad/sec, how far from the center should he move to, in meters? Note moment of inertia for the disk is (1/2)mr^2, and only the numerical answer needs to be typed in.*

University Physics Volume 1
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 59P: A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m)...
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A man is sitting on a flat disc that is rotating. The disc mass is 200 kg, with
a radius of 3 meters. He has a mass of 75 kg, and initially is sitting 2.5
meters from the center. Here he and the disc are rotating at 2.0 rad/sec.
He wants to increase the angular velocity they rotate to 2.5 rad/sec, how
far from the center should he move to, in meters? Note moment of inertia
for the disk is (1/2)mr^2, and only the numerical answer needs to be typed
in. *
Transcribed Image Text:A man is sitting on a flat disc that is rotating. The disc mass is 200 kg, with a radius of 3 meters. He has a mass of 75 kg, and initially is sitting 2.5 meters from the center. Here he and the disc are rotating at 2.0 rad/sec. He wants to increase the angular velocity they rotate to 2.5 rad/sec, how far from the center should he move to, in meters? Note moment of inertia for the disk is (1/2)mr^2, and only the numerical answer needs to be typed in. *
Expert Solution
Step 1

mass of disc (M)= 200 kg radius of disc (r) = 3 m mass of man (m) = 75 kg distance of man from center of disc (d) = 2.5 m Initial angular velocity (ω) = 2 radsecFinal angular velocity (ω') = 2.5 radsec

 

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