Question

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?

Answer 1

0.620 rad/s

Step-by-step 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

`\omega = \sqrt{(g)/(r)} \\ \\ \omega = \sqrt{(9.8)/(25.5)}`

ω = 0.620 rad/s