HW Chapter 9

# HW Chapter 9 - PHYS4102 HOMEWORK CHAPTER 9 Assigned...

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PHYS4102 HOMEWORK CHAPTER 9 Assigned Tuesday, Jan 18; Due Thursday, Feb 3, by 5:00 Problem 1. It has been suggested that a “space habitat” in the shape of a giant rotating doughnut (a torus) would allow people to live inside in an environment with artiﬁcial gravity due to the centrifugal force. (This would be analogous to being in the inner tube of a large rotating bicycle wheel.) If the torus were big enough (say 3 km radius) and rotated fast enough (at about 30 rev/hour), the centrifugal force on the “outside” wall would be approximately equal to g . Suppose the inhabitants of such a space habitat decided to play basketball. In the toroidal cavity the playing court would be perpendicular to the radial direction. (That is, “down” is radially outward and “up” is radially inward.) Deﬁne a coordinate system with z-axis along the direction of Ω , the rotational velocity of the torus, and φ perpendicular to r and z such that ˆ r × ˆ φ = ˆ k . Determine the Coriolis force on a ball that

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## This note was uploaded on 12/10/2011 for the course PHYS 4102 taught by Professor Fertig during the Spring '11 term at University of Georgia Athens.

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HW Chapter 9 - PHYS4102 HOMEWORK CHAPTER 9 Assigned...

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