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Albert0898

  • one year ago

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.

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  1. amistre64
    • one year ago
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    what sequence do you think we should apply?

  2. Albert0898
    • one year ago
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    Infinite Geometric?

  3. amistre64
    • one year ago
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    sounds good to me, and how to apply it?

  4. Albert0898
    • one year ago
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    \[S \infty = \frac{ a }{ 1 - r }\]

  5. Albert0898
    • one year ago
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    r = .75 a = first term = 10

  6. Albert0898
    • one year ago
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    I was wondering it that was the correct approach and answer? Or do I use a different formula?

  7. amistre64
    • one year ago
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    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?

  8. Albert0898
    • one year ago
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    Yes

  9. Albert0898
    • one year ago
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    So if it decreases .75, then it retains .25

  10. amistre64
    • one year ago
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    10 + 10(.25) + 10(.25)(.25) + ...

  11. amistre64
    • one year ago
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    so 40/3 sounds fair

  12. Albert0898
    • one year ago
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    How did you get that though, 40/3?

  13. amistre64
    • one year ago
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    10/(1-.25) = 10/(3/4) = 10*4/3

  14. Albert0898
    • one year ago
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    Ah

  15. Albert0898
    • one year ago
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    R is the common ratio, so r = .25?

  16. amistre64
    • one year ago
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    i would say so. we want to determine how much of the rotations we are retaining. in order to count them.

  17. Albert0898
    • one year ago
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    This type of problem just happened to be the one I got incorrect on my exam. Thank you for your help!

  18. amistre64
    • one year ago
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    accursed exams!! good luck :)

  19. Albert0898
    • one year ago
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    Thank you! :D

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