Question

It has been suggested that rotating cylinders about 12.5 mi long and 3.99 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth

Answer 1

The correct answer to the following question will be "0.0562 rad/s".

Step-by-step explanation:

`r =(3.9)/(2)* 1609.34`

`=3138.213\ m`

As we know,

⇒
`\omega^2 \ r=g`

On putting the values, we get

⇒
`\omega^2* 3138.213=9.8`

⇒
`\omega = \sqrt{(9.8)/(3138.213)}`

⇒
`\omega = 0.0562 \ rad /s`