Angular revolution deceleration

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Homework Help Overview

The discussion revolves around a problem involving angular motion, specifically focusing on deceleration and the calculations related to angular displacement and time. The original poster attempts to solve for angular acceleration, angular displacement, and time taken for a rotating object that is decelerating.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the calculation of angular acceleration based on a change in revolutions and time. There are attempts to derive angular displacement using kinematic equations for rotational motion. Some participants question the units used in calculations, particularly regarding the conversion between revolutions and radians.

Discussion Status

Some guidance has been offered regarding the correct units for angular acceleration, noting that it should be in revolutions per second squared rather than radians per second squared. This clarification may influence the calculations in subsequent parts of the problem.

Contextual Notes

There appears to be confusion regarding the conversion of angular velocity and acceleration units, which has led to incorrect results in parts of the problem. The original poster acknowledges a potential error in their calculations related to these units.

vorcil
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http://img15.imageshack.us/img15/858/masteringf.jpg

a:
550-150 = 400rev change
400/60 = 6&2/3 rev/s (converted to revs)
6.66666 / 3.5 seconds = 1.9 rads^-2

since it's decelerating i put -1.9 rads^-2






now part two i got wrong,
b:
\thetaf=\thetai + \omegai * t + 1/2 \alpha t^2

so i got the angle it turns through in radians being

wi * t + 1/2at^2

wi = 550*2\pi\underbrace{}_{}t

wi = 57.59 rad/s (please check this i think this may be where i went wrong)


so radian angle = 57.59 *3.5 + (1/2*(-1.9) ) *3.5^2

i got 189 radians

189 / 2\pi = 30 revolutions

and i got it wrong





c: part three of the question:

wf = wi + at

0 = wf (from question) + at

wf = (150 *2\pi)/60 = 15.7 rad/s

0 = 15.7 + (-1.9 *t)
-15.7/-1.9 = t
t=8.26 seconds

and i got it wrong
 
Last edited by a moderator:
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anyone?
 
vorcil said:
a:
550-150 = 400rev change
400/60 = 6&2/3 rev/s (converted to revs)
6.66666 / 3.5 seconds = 1.9 rads^-2

since it's decelerating i put -1.9 rads^-2
This acceleration is in rev/sec^2, not rad/sec^2.

(This affects parts B and C.)
 
Doc Al said:
This acceleration is in rev/sec^2, not rad/sec^2.

(This affects parts B and C.)

it was in rev/sec^2

i figured it out, i had used rev/min instead of rev/s with omegai
i.e i used 400 rev/s^2 thanks for the help
 

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