Circular motion space station question

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Homework Help Overview

The discussion revolves around a problem related to circular motion, specifically regarding a proposed space station with living quarters designed to simulate Earth's gravity through rotation. The original poster seeks to determine the necessary angular speed for the station's circular ring.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to relate centripetal force to gravitational force by setting up the equation mv²/r = mg. They express confusion about their calculations and seek clarification on their approach.

Discussion Status

Participants are engaging with the original poster's method, with some questioning the use of diameter instead of radius and asking for calculations to better assist. There is a collaborative effort to clarify the original poster's reasoning and calculations.

Contextual Notes

There is an emphasis on the need for accurate definitions and calculations, particularly regarding the radius of the circular motion, which may affect the outcome. The original poster has not provided their final answer, which limits further assistance.

zhenyazh
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hi,
could some one explain where am i wrong?

A proposed space station includes living quarters in a circular ring 53.5 m in diameter. At what angular speed should the ring rotate so the occupants feel that they have the same weight as they do on Earth?

in such a station there is a centr. force mv^2/r.
it equals mg since i want them to feel like on earth.
then i play with the equation, lose m make v=wr.
and find w.

thanks
 
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Have you used diameter instead of radius? The method seems fine.
What result did you get?
 
nope. i divided by two
 
Please show us your calculation and final answer. Otherwise it is very difficult to help.
 
v^2/r has to be equal to g then you can work from there
 

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