Angular revolution deceleration

AI Thread Summary
The discussion focuses on the calculations related to angular deceleration, with an initial change of 400 revolutions leading to a deceleration of -1.9 rad/s². The user initially miscalculated the angular velocity and angle turned through, leading to an incorrect result of 189 radians or 30 revolutions. It was clarified that the acceleration should be expressed in revolutions per second squared rather than radians per second squared, impacting subsequent calculations. The user realized the mistake stemmed from using revolutions per minute instead of revolutions per second for the initial angular velocity. Ultimately, the correct approach was confirmed, emphasizing the importance of unit consistency in calculations.
vorcil
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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
 
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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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