/sci/ - Science & Math

[Anonymous No.2743291]

Hey guise, i'm not asking you to do my homework, but i'm kinda stuck with this problem. I have to find the number of revolutions per second needed for a 800 meter in diameter space station to emulate Earth's gravity.

I swear i don't even have the mass, my only data are the diameter of the station and of course Earth's acceleration.

Any suggestions?

[OP No.2743311]

>>2743291

*Revolutions per minute

[OP No.2743325]

revolutions per minue*

[OP No.2743369]

*Revoluions per minue

[Anonymous No.2743394]

what the fuck is going on

[Anonymous of Germany !WvzhzxDiIQ No.2743409]

It's rather simple if you think about it. Newton states that any force can be expressed as mass times acceleration. Now you use the formula for the centrifugal force and you get
<span class="math">F = m \cdot a = \frac{m \cdot v^2}{r}[/spoiler]

Now as you can see the mass cancels out of the equation. With this you can now calculate the speed of rotation that you can then use to calculate the angular velocity.

[Anonymous No.2743416]

Why would you need mass?

Draw a force diagram for one.

[vancityruckus No.2743417]

space station recreates gravity by using centrifugal force (inertia actually) and throwing you out to the circumference.