2. Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation. Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure says 0.6282 rad/s - please ignore that value!). O 0.6282 rad/s Fig. 1-a spinning space station. a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your
2. Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation. Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure says 0.6282 rad/s - please ignore that value!). O 0.6282 rad/s Fig. 1-a spinning space station. a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your
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)...
Related questions
Concept explainers
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
practice problem don't know how to solve please help!
![**Simulating Gravity in Space Stations**
Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length of a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation.
**Example Problem:**
Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure shows 0.6282 rad/s — please ignore that value).
![A spinning space station diagram: Shows a ring structure labeled with an angular velocity of 0.6282 rad/s, with an arrow indicating counter-clockwise rotation.]
**Fig. 1 – A spinning space station.**
**Questions:**
a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your work, don’t just punch this into google.
b. If the centripetal acceleration at the rim of the station is 9.81 m/s², what is the radius of the structure?
c. What is the linear, tangential velocity \( v \) of a chunk of stuff on the rim of the station, at the radius you found in (b)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0358b5fa-6a35-4918-bb57-f6ae9ca4088e%2F8d3750be-aa05-49bd-a5f7-396372ec2a31%2Fn25gm7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Simulating Gravity in Space Stations**
Rotating a space station can simulate gravity for its occupants. A ring-shaped structure with a radius about the length of a football field could be spun a few times a minute to achieve a sensation of normal gravity, comfortable for human habitation.
**Example Problem:**
Consider a ring space station, rotating counter-clockwise at 0.3141 rad/s (the figure shows 0.6282 rad/s — please ignore that value).
![A spinning space station diagram: Shows a ring structure labeled with an angular velocity of 0.6282 rad/s, with an arrow indicating counter-clockwise rotation.]
**Fig. 1 – A spinning space station.**
**Questions:**
a. What is that angular velocity, 0.3141 rad/s, in revolutions per minute? Show your work, don’t just punch this into google.
b. If the centripetal acceleration at the rim of the station is 9.81 m/s², what is the radius of the structure?
c. What is the linear, tangential velocity \( v \) of a chunk of stuff on the rim of the station, at the radius you found in (b)?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON