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ajprincess

  • 2 years ago

Please help:). the maximum amplitude and the maximum acceleration of the foundation of an industrial fan were found to be x_max=0.2mm and a_max=0.3

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  1. ajprincess
    • 2 years ago
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    Here |dw:1352046269529:dw|

  2. hartnn
    • 2 years ago
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    so whats the question, that is correct \(a=\ddot x\) where differentiation is w.r.t time.

  3. ajprincess
    • 2 years ago
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    oops sorry forgot to post the question

  4. ajprincess
    • 2 years ago
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    Determine the operating speed of the fan.

  5. ajprincess
    • 2 years ago
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    |dw:1352046585292:dw| Am I right?

  6. hartnn
    • 2 years ago
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    if u take x as sinusoidal, then x_max = A=0.2mm are you suppose to take it as sinusoidal ?

  7. ajprincess
    • 2 years ago
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    i am nt sure. Bt in the answr given they use \(x=Acos(\omega t)\) i dnt get why they use it.

  8. hartnn
    • 2 years ago
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    i would write that in this manner , you are correct numerically. |x|=A , \(|\ddot x |=Aw^2\) so w^2= 0.3/0.2 as A=0.2 and \(|\ddot x |=0.3\)

  9. hartnn
    • 2 years ago
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    and this speed you will get it in rad/sec ofcourse by taking sqrt of w^2

  10. hartnn
    • 2 years ago
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    right ?

  11. ajprincess
    • 2 years ago
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    ya

  12. ajprincess
    • 2 years ago
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    where do we use \(x=Asin\omega t\) and \(x=Acos\omega t\)? Are they equal? I am nt getting this.

  13. hartnn
    • 2 years ago
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    they aren't equal. just phase shift of pi/2 so either of them can be used. but in this question even it doesn't make sense to me using sinusoidal wave for fan equation, if it is given, then its ok.

  14. ajprincess
    • 2 years ago
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    so what equation should be used here @hartnn?

  15. hartnn
    • 2 years ago
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    not sure, need to google it ..but since in your given answer sine waves are used, your teacher/course must expect u to take it as sinusoidal everytime....

  16. ajprincess
    • 2 years ago
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    Ha k. Thanxxxxx a lot for helping me:)

  17. hartnn
    • 2 years ago
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    welcome ^_^

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