Centripetal Acceleration of astronaut

[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?

 

[Andrew Mason]

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?

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

 

[courtrigrad]

$$a = \frac{v^{2}}{r} = r\omega^{2}$$ where $$\omega$$ is the rotational speed.

 

[Andrew Mason]

$$a = \frac{v^{2}}{r} = r\omega^{2}$$ where $$\omega$$ is the rotational speed.

So if a = 7g, and r = 8 m what is $\omega$

AM