How Do You Calculate Revolutions Per Minute for an Astronaut in a Centrifuge?

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Homework Help Overview

The discussion revolves around calculating revolutions per minute (rpm) for an astronaut in a centrifuge with a specified radius of 4.0 m. Participants are exploring the relationship between angular velocity and linear velocity in the context of circular motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of angular velocity (omega) and its conversion to rpm. There are attempts to derive omega from given acceleration and radius, as well as questions about the sufficiency of the provided data.

Discussion Status

The conversation is ongoing, with some participants providing insights into the formulas involved while others highlight missing information necessary for a complete solution. There is a recognition that multiple values for rpm could exist based on varying conditions.

Contextual Notes

Participants note that the only information provided is the radius of the centrifuge and the acceleration, which is stated to be 5g. There is an acknowledgment that without additional data, the problem cannot be fully resolved.

chenying
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Homework Statement



An astronaut is rotated in a centrifuge of radius 4.0 m.

Homework Equations



v = omega * radius

a = v^2/radius


The Attempt at a Solution



Ok, so I first found the omega for this acceleration, which came out to be

omega = 3.56179 s^-1

then I decided that since the it is revolutions per minute, I multiplied the vaule of omega by 60 seconds, and divided the value by the circumference of the circle.

(2*pi*4)/210.107 = .119619

So this answer is completely wrong because it does not make any sense whatsoever
 
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You need to know more data to work out the rpm, knowing just the radius of the centrifuge is not enough.
 
This was all that was given to me.
 
Omega = 2pi / Time, then you can get the time of one revolution
 
Well rpm for a gven radius can infinetly many values. How did you work out the value of omega?
 
I used a = V^2/r since i have acceleration and r

Once I got the value of V, i substitute it into v = omega * radius and solved for omega.
 
You have forgotten to state the value of a in the question above.
 
Oh ok, well then just use your value of omega in the formula anden gave you. That is the time for 1 revolution.
 
Anden said:
You have forgotten to state the value of a in the question above.

Sorry, the acceleration is 5g
 

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