Centripetal Acceleration of astronaut

AI Thread Summary
To determine the astronaut's speed with a centripetal acceleration of 7.0g in a centrifuge with an 8.0 m radius, the formula a = v²/r can be applied. This leads to the calculation of speed, where v = √(a * r). To find the required revolutions per minute, the relationship between angular velocity (ω) and linear speed can be used, with ω = v/r. The period of motion can then be derived from the angular velocity. Understanding these relationships is crucial for solving the problem effectively.
Sanjay101
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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?
 
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Sanjay101 said:
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
 
a = \frac{v^{2}}{r} = r\omega^{2} where \omega is the rotational speed.
 
courtrigrad said:
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
 

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