Angular Deceleration Calculation for Medical Lab Centrifuge

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Homework Help Overview

The problem involves calculating the angular deceleration of a medical laboratory centrifuge that is initially rotating at 377 rad/s and comes to rest after completing 78 rotations. The context is centered around angular motion and deceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to identify the initial and final angular velocities, expressing confusion about the values to use. Participants clarify that the initial speed is known, the final speed is zero, and the total angular distance can be used for further calculations.

Discussion Status

The discussion is ongoing, with participants providing guidance on using standard equations for constant angular acceleration. There is a recognition of the need to clarify the relationship between rotations and angular distance.

Contextual Notes

Participants note that the time variable is not provided, which may affect the approach to solving the problem. The original poster is working within the constraints of a homework assignment.

ScienceGirl90
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Homework Statement


A medical laboratory centrifuge is rotating at 377 rad/s (3600 rpm). When it is switched off, it rotates 78 times before it comes to rest. Assuming constant angular deceleration, what is the angular deceleration?


Homework Equations



w=at+w(initial)


The Attempt at a Solution



I'm confused as to what is my initial and final angular velocity and how to generally solve the problem with the info provided. My first thought was to make 377 rad/s be my initial velocity and 78 rad/s be the final velocity but I don't think that's right...
 
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Hi ScienceGirl90! :smile:

You know the initial angular speed, the final angular speed (zero), and the total angular distance, but not the time …

so use one of the other standard constant acceleration equations. :wink:
 
Oh ok! So then 78 rotations is the distance then?
 
(just got up :zzz: …)

Yup! :biggrin:
 

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