Diame Diameter d = 10.86m • radius r= 10.56 m² = 2 = 5.43m. mg = mv² 9₁₂ = x² = A rxg V = √rxg = √5.43x1.9 V = 3.21 m/s 2 given g = 1.9 m/s ² revolution calculate Retation per meter I rev 60sec :: 3.21 m/s x 2πr I min = (3.21 m/s x 2πx5.43m x 60) (p= = 5.645 Trpm]
Diame Diameter d = 10.86m • radius r= 10.56 m² = 2 = 5.43m. mg = mv² 9₁₂ = x² = A rxg V = √rxg = √5.43x1.9 V = 3.21 m/s 2 given g = 1.9 m/s ² revolution calculate Retation per meter I rev 60sec :: 3.21 m/s x 2πr I min = (3.21 m/s x 2πx5.43m x 60) (p= = 5.645 Trpm]
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Diameter d = 10.86m
radius r = 10.86m = 2 = 5.43m
•
mv²
mg = √₂
J₂ = (xg
V = √rxg
V
= √5.43 x 1.9
V = 3.21 m/s
2
given g = 1.9m/s
revolution
calculate fotation per meter
I rev
60 SCC
3.21 m/s x 2115
I min
°,
= (3.21 m/s x 2πX5.43m x 60) rpm
F5.645 Trpm

Transcribed Image Text:In the 1968 film 2001: A Space Odyssey, directed by Stanley Kubrick, some
spacefarers make the journey to Jupiter on the ship Discovery One.
GRZ22
3
Inside the command module (the spherical dome at the front) there is a 10.86 m
diameter centrifuge, which spins to provide artificial gravity during the long journey.
RI
5
How many times per minute would the centrifuge need to rotate in order to maintain
an artificial gravity of g = 1.9 m/s²?
Hint: Find the frequency, in units of rotations per minute (rpm).
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