Circular Motion of space station

[sk257]

Homework Statement

4) A circular space station rotates to provide an “artificial gravity” at the outside rim.
a) If the diameter of the space station is 500m, how many revolutions per minute are needed in order for the “artificial gravity” acceleration to be 8.0 ms-2?
b) If the space station is a waiting area for travellers to Mars, it might be desirable to simulate the acceleration due to gravity of the Martian surface (3.70 ms-2). How many revolutions per minute are needed in this case?

Homework Equations

The Attempt at a Solution

Don't know where to start:(

 

[Doc Al]

Look up centripetal acceleration.

 

[einsteinoid]

As a body moves in a circle at a constant speed, it is said to be in uniform circular motion. You can apply this concept to the space station scenario with the formula for centripetal acceleration in regards to uniform circular motion which is as follows:[PLAIN]http://www4d.wolframalpha.com/Calculate/MSP/MSP58019ch44b53a75489i000064hd048a5c41b9hb?MSPStoreType=image/gif&s=32&w=211&h=147

Give it a shot and let us know how you're doing.