Calculating Angular Speed for Proposed Space Station

AI Thread Summary
To ensure occupants of a proposed space station feel the same weight as on Earth, the centripetal acceleration must equal gravitational acceleration. Given the space station's circular ring has a diameter of 61.0 m, the necessary angular speed can be calculated using the formula for angular speed in relation to centripetal acceleration. The key equation involves setting centripetal acceleration equal to Earth's gravity. The solution requires finding the angular speed (ω) that satisfies this condition. Understanding this relationship is crucial for designing a space station that mimics Earth's gravitational effects.
Fihzix
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Homework Statement


A proposed space station includes living quarters in a circular ring 61.0 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?


Homework Equations


Angular speed = radians/second


The Attempt at a Solution


I am unsure of what they mean when it states the same weight as on Earth, does that mean the centripetal acceleration would be equal to gravity?
 
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Fihzix said:

The Attempt at a Solution


I am unsure of what they mean when it states the same weight as on Earth, does that mean the centripetal acceleration would be equal to gravity?

that's it there. So put acentripetal=g and find ω
 
Thank you very much
 

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