Please help me check if I completed this question correcly Diameter d = 10.86mradius r = 10.86m = 2 = 5.43m•mv²mg = √₂J₂ = (xgV = √rxgV= √5.43 x 1.9V = 3.21 m/s2given g = 1.9m/srevolutioncalculate fotation per meterI rev60 SCC3.21 m/s x 2115I min°,= (3.21 m/s x 2πX5.43m x 60) rpmF5.645 Trpm In the 1968 film 2001: A Space Odyssey, directed by Stanley Kubrick, somespacefarers make the journey to Jupiter on the ship Discovery One.GRZ223Inside the command module (the spherical dome at the front) there is a 10.86 mdiameter centrifuge, which spins to provide artificial gravity during the long journey.RI5How many times per minute would the centrifuge need to rotate in order to maintainan artificial gravity of g = 1.9 m/s²?Hint: Find the frequency, in units of rotations per minute (rpm).

in this question we discuss given answer.

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]

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

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 49P: A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity...

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Question

Please help me check if I completed this question correcly

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

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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