Angular motion-centrifuge problem .

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Homework Help Overview

The problem involves angular motion related to a centrifuge, specifically calculating angular acceleration and centripetal acceleration based on given parameters such as speed and distance from the center.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate angular acceleration and centripetal acceleration using provided equations and values. Some participants question the conversion of radius from millimeters to meters, suggesting a potential misunderstanding of the radius value. Others point out discrepancies in the calculated values for acceleration.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the radius and questioning the calculations presented. There is no explicit consensus yet, but participants are actively engaging with the problem and clarifying assumptions.

Contextual Notes

There are discussions regarding the conversion of units and the interpretation of the radius in the context of the problem. The original poster's calculations may be based on assumptions that are being scrutinized by other participants.

Prashant91
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Homework Statement

: A centrifuge starts from rest and speeds up at 3400rpm after 50 seconds.

a sample is at a distance of 37.5mm from the centre

1) find the angular acceleration
2) calculate the centripetal acceleration [/B]

Homework Equations

:

v2 / r

v = rω

a = rω2

a=Λω/Λt

3. The Attempt at a Solution

1) a=Λω/Λt = 3400/60*2∏/50 = 7.12 rad/sec^2

2) ac =v^2/ r = 7.12/ 0.01875 ( 0.01875 is the radius converted to M)
[/B]
 
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Prashant91 said:
0.01875 is the radius converted to M
Prashant91 said:
sample is at a distance of 37.5mm from the centre
The distance from the center of the circle to a point on the circumference of the circle is the radius of the circle. So wouldn't the radius of the circle be 37.5mm? Which, converted to meters, is .0375?
 
Last edited:
In addition: ##v^2## is not 7.12 rad/s2
 
In addition: ##v^2## is not 7.12 rad/s2
 

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