Albert0898
  • Albert0898
A fan is running at 10 revolutions per second. After it is turned off, it's speed decreases at a rate of 75% per second. Determine the number of revolutions completed by the fan after it is turned off.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
what sequence do you think we should apply?
Albert0898
  • Albert0898
Infinite Geometric?
amistre64
  • amistre64
sounds good to me, and how to apply it?

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More answers

Albert0898
  • Albert0898
\[S \infty = \frac{ a }{ 1 - r }\]
Albert0898
  • Albert0898
r = .75 a = first term = 10
Albert0898
  • Albert0898
I was wondering it that was the correct approach and answer? Or do I use a different formula?
amistre64
  • amistre64
i dont think r=.75, i could be mistaken tho if it decreases at a rate of k, then it retains 1-k of its speed, right?
Albert0898
  • Albert0898
Yes
Albert0898
  • Albert0898
So if it decreases .75, then it retains .25
amistre64
  • amistre64
10 + 10(.25) + 10(.25)(.25) + ...
amistre64
  • amistre64
so 40/3 sounds fair
Albert0898
  • Albert0898
How did you get that though, 40/3?
amistre64
  • amistre64
10/(1-.25) = 10/(3/4) = 10*4/3
Albert0898
  • Albert0898
Ah
Albert0898
  • Albert0898
R is the common ratio, so r = .25?
amistre64
  • amistre64
i would say so. we want to determine how much of the rotations we are retaining. in order to count them.
Albert0898
  • Albert0898
This type of problem just happened to be the one I got incorrect on my exam. Thank you for your help!
amistre64
  • amistre64
accursed exams!! good luck :)
Albert0898
  • Albert0898
Thank you! :D

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