Question

A rotating cylinder about 16 km long and 7.8km in diameter is designed to be used as a space colony.

Answer 1

Answer:

0.05 rad/s

Explanation:

7.8 km = 7800 m

For the residents inside the space cylinder to experience the same gravitation acceleration g = 9.81m/s2 on Earth, the centripetal acceleration must be the same as g

$a = g$

But centripetal acceleration is product of angular velocity squared and radius of rotation r

$\omega^2r = 9.81$

$\omega^2 d/2 = 9.81$

$\omega^2 = \frac{2*9.81}{d} = \frac{19.62}{7800} = 0.0025$

$\omega = \sqrt{0.0025} = 0.05 rad/s$