A proposed space station includes living quarters in a circular ring 51.0 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?

Respuesta :

Answer:

0.620 rad/s

Explanation:

Given that:

diameter of the ring = 51.0 m

radius = diameter/2 = 51.0 m/2

= 25.5 m

In the system, the centripetal force is equal to the force as a result of the weight;

mω²r = mg

ω²r = g

where:

ω = angular speed

[tex]\omega = \sqrt{\dfrac{g}{r}} \\ \\ \omega = \sqrt{\dfrac{9.8}{25.5}}[/tex]

ω = 0.620 rad/s