A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80m/s2 at the rim

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)...
icon
Related questions
Question

Greetings and thank you for your help...i appreciate you

19. A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80m/s2 at the rim?

Formula Sheet and Checklist for Circular Motion and Gravitation
Тopic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
2n radians = 1 revolution = 360°
Linear Velocity, v
Rate of change of arc length with respect to
As
time. v
At
Angular Velocity, w
Rate of change of angle with respectto time.
ω -
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv²
F. =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
An accelerating Frame of Reference.
An unrealforce due to a Non-Inertial Frame of
Non-Inertial Frame of reference
Fictitious Force
Reference.
Centrifugal Force
An unreal force due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
m¡m2
F = G
r2
Transcribed Image Text:Formula Sheet and Checklist for Circular Motion and Gravitation Тopic Uniform Circular Motion Definition/Formula Motion in a circular path with constant speed. Distance traveled by an object along a circular path. Arc length, As Rotation Angle, AO As The Radian 2n radians = 1 revolution = 360° Linear Velocity, v Rate of change of arc length with respect to As time. v At Angular Velocity, w Rate of change of angle with respectto time. ω - At Relationship between Angular Velocity and Linear Velocity Centripetal Acceleration, ac v = rw v2 a = a = rw? Centripetal Force, F. mv² F. = ; F = mrw? %3D Inertial Frame of reference A Frame of Reference moving with constant velocity. An accelerating Frame of Reference. An unrealforce due to a Non-Inertial Frame of Non-Inertial Frame of reference Fictitious Force Reference. Centrifugal Force An unreal force due to circular motion. Coriolis Force A fictitious force observed froma Non - Inertial frame of Reference. Universal Law of Gravitation m¡m2 F = G r2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centripetal force
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON