Capa Assignment- Rotational Motion

[Student(st.john's)]

Hello,

If anyone out there could help me with this problem it would be much appreciated. The problem is on rotational motion and it states:

A proposed space station includes living quarters in a circular ring 52.0 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?

Thanks
Matt

 

[mezarashi]

Consider that artificial acceleration and gravitation acceleration cannot be differentiated. Firstly, you must convince yourself of that. Think about how you feel on an elevator. Thus, we want to create conditions where there is an acceleration of g on the space station.

Do you remember your circular motion equations and acceleration due to circular motion?

 

[andrevdh]

The inhabitants of the station will walk with their feet on the outer rim of the station. When the ring rotates they will therefore experience a centripetal acceleration towards the center of the station (ring). If they are to experience the same "weight" on the station as on Earth their accelaration therefore have to be equal to ...