Find the acceleration at 4000rpm

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SUMMARY

The acceleration at the end of a test tube in a centrifuge rotating at 4000 RPM can be calculated using the formula a = rω². In this case, the radius (r) is 0.1 meters (10 cm), and the angular velocity (ω) can be derived from the RPM value. Converting 4000 RPM to radians per second gives ω = 418.88 rad/s. Substituting these values into the equation yields an acceleration of approximately 17,600 m/s² at the end of the test tube.

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  • Understanding of circular motion principles
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  • Knowledge of basic physics equations
  • Ability to convert RPM to radians per second
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  • Study the principles of centripetal acceleration
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Homework Statement


A typical laboratory centrifuge rotates at 4000 rpm. Test tubes have to be placed into a centrifuge very carefully because of the very large accelerations.What is the acceleration at the end of a test tube that is 10 cm from the axis of rotation?

Homework Equations


No Clue


The Attempt at a Solution


I know that the 10cm we are given isn't a radius, so i have no idea where we are to start.
 
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If you're in school, and have a textbook, i would suggest looking into Circular Motion and Gravitation, my textbook even has an example of the question your asking.
 
In not at school, my textbook doesn't have an example of it, i just need an equation for the work.
 
Your textbook would have an example. Your probably not looking in the right place. I'll give you a jumpstart. You need this equation to solve it. a=rw^2. you should be able to figure the rest out.
 

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