# Centripetal Acceleration of astronaut

1. Sep 28, 2006

### Sanjay101

Anyone know how to do this?

An astronaut is rotated in a horizontal centrifuge at a radius of 8.0 m.

(a) What is the astronaut's speed if the centripetal acceleration is 7.0g?

(b) How many revolutions per minute are required to produce this acceleration?

(c) What is the period of the motion?

2. Sep 28, 2006

### Andrew Mason

You will first have to tell us what your thoughts are on solving this problem. What is the relationship between the centripetal acceleration, rotational speed and radius?

AM

3. Sep 28, 2006

$$a = \frac{v^{2}}{r} = r\omega^{2}$$ where $$\omega$$ is the rotational speed.
So if a = 7g, and r = 8 m what is $\omega$