An ultracentrifuge is a laboratory instrument where tubes containing samples are rotated at high speed around a vertical axis. You are tasked with designing an ultracentrifuge capable of producing an apparent gravity of 5 x 105g at r = 0.2m from the axis of rotation. Assume that in the steady state the sample tubes are oriented horizontally, that g = 10m/s2, and that regular gravity may be ignored. (a) How fast should the rotor housing the sample tubes spin? (b) A particle in one of the sample tubes is moving outward with radial speed v, = 0.1m/s, towards the bottom of the tube. Does an extra force appear due to this motion? If so, give the direction and magnitude of the force. If not, explain why there is no extra force. Do your results depend on how far from the axis of rotation the particle is?

An ultracentrifuge is a laboratory instrument where tubes containing samples are rotated at high speed around a vertical axis. You are tasked with designing an ultracentrifuge capable of producing an apparent gravity of 5 x 105g at r = 0.2m from the axis of rotation. Assume that in the steady state the sample tubes are oriented horizontally, that g = 10m/s2, and that regular gravity may be ignored. (a) How fast should the rotor housing the sample tubes spin? (b) A particle in one of the sample tubes is moving outward with radial speed v, = 0.1m/s, towards the bottom of the tube. Does an extra force appear due to this motion? If so, give the direction and magnitude of the force. If not, explain why there is no extra force. Do your results depend on how far from the axis of rotation the particle is?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 77P

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