Rotational Freq of Wheel for "Artificial Gravity" of 9.3 m/s^2

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Homework Help Overview

The problem involves a space station designed as a rotating wheel, with a diameter of 124 m, intended to create an "artificial gravity" of 9.3 m/s² for occupants at the outer rim. The goal is to determine the rotational frequency of the wheel in revolutions per minute (rpm).

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the equations of motion, specifically v² = gr and w = v/r, to find the rotational frequency. They express concern about a potential miscalculation leading to an incorrect answer.

Discussion Status

Some participants have pointed out the importance of unit conversion, specifically the need to express the frequency in revolutions per minute rather than revolutions per second. The original poster acknowledges this guidance and indicates understanding of the necessary steps.

Contextual Notes

The discussion highlights the need for careful attention to units in calculations, as well as the potential for misunderstanding the problem's requirements. There is an indication that the original poster may have overlooked this aspect in their initial approach.

rrodriguez119
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1. A space station in the form of a large wheel, 124 m in diamete, rotates to provide and "artificial gravity" of 9.3 m/s^2 for people located on the outer rim.

Find the rotational frequency of the wheel that will produce this effect.
(answer in units of rpm)

2. v^2=gr, w=v/r, w/2pi = frequency


3. To find velocity I used v^2=gr. I know that w=v/r so with my found velocity I divided it by the radius (62). to find the frequency=> w/2pi = frequency. I must be missing a step because the answer I got is wrong. Help would be fancied. thank you!
 
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The number you calculated for frequency is probably expressed in revolutions (cycles) per second (I'm guessing, since you did not show how you arrived at whatever answer you got). The question asks for revolutions per minute (rpm). You must watch units!
 
PhanthomJay said:
The number you calculated for frequency is probably expressed in revolutions (cycles) per second (I'm guessing, since you did not show how you arrived at whatever answer you got). The question asks for revolutions per minute (rpm). You must watch units!

what would you do?
 
nvm, I understand what i have to do. thanks!
 

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