Helix - number of turns [on hold]











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How to find the number of turns required for an helix if I have the radius, effective length of the helix, pitch and alpha angle?










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put on hold as off-topic by user302797, A. Pongrácz, Rebellos, Xander Henderson, Did 7 hours ago


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  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user302797, A. Pongrácz, Rebellos, Xander Henderson, Did

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    For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
    – coffeemath
    Nov 22 at 6:00










  • @Harish $n$= standing length ( or height of helix)/pitch.
    – Narasimham
    10 hours ago

















up vote
-1
down vote

favorite












How to find the number of turns required for an helix if I have the radius, effective length of the helix, pitch and alpha angle?










share|cite|improve this question













put on hold as off-topic by user302797, A. Pongrácz, Rebellos, Xander Henderson, Did 7 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user302797, A. Pongrácz, Rebellos, Xander Henderson, Did

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
    – coffeemath
    Nov 22 at 6:00










  • @Harish $n$= standing length ( or height of helix)/pitch.
    – Narasimham
    10 hours ago















up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











How to find the number of turns required for an helix if I have the radius, effective length of the helix, pitch and alpha angle?










share|cite|improve this question













How to find the number of turns required for an helix if I have the radius, effective length of the helix, pitch and alpha angle?







geometry






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asked Nov 22 at 5:49









Harish

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52




put on hold as off-topic by user302797, A. Pongrácz, Rebellos, Xander Henderson, Did 7 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user302797, A. Pongrácz, Rebellos, Xander Henderson, Did

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by user302797, A. Pongrácz, Rebellos, Xander Henderson, Did 7 hours ago


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – user302797, A. Pongrácz, Rebellos, Xander Henderson, Did

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
    – coffeemath
    Nov 22 at 6:00










  • @Harish $n$= standing length ( or height of helix)/pitch.
    – Narasimham
    10 hours ago
















  • 1




    For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
    – coffeemath
    Nov 22 at 6:00










  • @Harish $n$= standing length ( or height of helix)/pitch.
    – Narasimham
    10 hours ago










1




1




For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
– coffeemath
Nov 22 at 6:00




For me the terms need to be spelled out: effective length (if helix resting on table but standing vertically is length the height?) Also what angles are pitch and alpha?
– coffeemath
Nov 22 at 6:00












@Harish $n$= standing length ( or height of helix)/pitch.
– Narasimham
10 hours ago






@Harish $n$= standing length ( or height of helix)/pitch.
– Narasimham
10 hours ago












2 Answers
2






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0
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If you unroll the cylinder the helix winds around, you have a right triangle with the hypotenuse the helix, one leg the number of circumferences of the cylinder that corresponds to the number of turns and the other leg the height along the cylinder.






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    $displaystyle begin{array}{{>{displaystyle}l}}
    Let, Radius= R\
    Pitch= P\
    Effective length of helix= L\
    And Number of turns= N\
    First of all we should calculate the length associated with one turn within the helix. Let it be x.\
    Now formula for x is
    end{array}$



    $displaystyle $ $displaystyle x^{2} =P^{2} +( Circumference)^{2}$



    $displaystyle begin{array}{{>{displaystyle}l}}
    Where Circumference= 2πR. Hence x=sqrt{P^{2} +( 2πR)^{2}}\
    And number of turns, N=frac{L}{x}\
    or N=frac{L}{sqrt{P^{2} +( 2πR)^{2}}}
    end{array}$






    share|cite|improve this answer



















    • 1




      Why is it all in italics? suggest MathJax edit.
      – coffeemath
      Nov 22 at 7:12










    • Is there any problem in italics?
      – Dikshit Gautam
      Nov 22 at 8:23






    • 1




      @JyrkiLahtonen Okay. Thanks
      – Dikshit Gautam
      Nov 22 at 8:39










    • @JyrkiLahtonen I'll take care of it in future
      – Dikshit Gautam
      Nov 22 at 8:40










    • @JyrkiLahtonen Is my answer right?
      – Dikshit Gautam
      Nov 22 at 8:42


















    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    0
    down vote













    If you unroll the cylinder the helix winds around, you have a right triangle with the hypotenuse the helix, one leg the number of circumferences of the cylinder that corresponds to the number of turns and the other leg the height along the cylinder.






    share|cite|improve this answer

























      up vote
      0
      down vote













      If you unroll the cylinder the helix winds around, you have a right triangle with the hypotenuse the helix, one leg the number of circumferences of the cylinder that corresponds to the number of turns and the other leg the height along the cylinder.






      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        If you unroll the cylinder the helix winds around, you have a right triangle with the hypotenuse the helix, one leg the number of circumferences of the cylinder that corresponds to the number of turns and the other leg the height along the cylinder.






        share|cite|improve this answer












        If you unroll the cylinder the helix winds around, you have a right triangle with the hypotenuse the helix, one leg the number of circumferences of the cylinder that corresponds to the number of turns and the other leg the height along the cylinder.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 22 at 6:00









        Ross Millikan

        289k23195367




        289k23195367






















            up vote
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            down vote













            $displaystyle begin{array}{{>{displaystyle}l}}
            Let, Radius= R\
            Pitch= P\
            Effective length of helix= L\
            And Number of turns= N\
            First of all we should calculate the length associated with one turn within the helix. Let it be x.\
            Now formula for x is
            end{array}$



            $displaystyle $ $displaystyle x^{2} =P^{2} +( Circumference)^{2}$



            $displaystyle begin{array}{{>{displaystyle}l}}
            Where Circumference= 2πR. Hence x=sqrt{P^{2} +( 2πR)^{2}}\
            And number of turns, N=frac{L}{x}\
            or N=frac{L}{sqrt{P^{2} +( 2πR)^{2}}}
            end{array}$






            share|cite|improve this answer



















            • 1




              Why is it all in italics? suggest MathJax edit.
              – coffeemath
              Nov 22 at 7:12










            • Is there any problem in italics?
              – Dikshit Gautam
              Nov 22 at 8:23






            • 1




              @JyrkiLahtonen Okay. Thanks
              – Dikshit Gautam
              Nov 22 at 8:39










            • @JyrkiLahtonen I'll take care of it in future
              – Dikshit Gautam
              Nov 22 at 8:40










            • @JyrkiLahtonen Is my answer right?
              – Dikshit Gautam
              Nov 22 at 8:42















            up vote
            0
            down vote













            $displaystyle begin{array}{{>{displaystyle}l}}
            Let, Radius= R\
            Pitch= P\
            Effective length of helix= L\
            And Number of turns= N\
            First of all we should calculate the length associated with one turn within the helix. Let it be x.\
            Now formula for x is
            end{array}$



            $displaystyle $ $displaystyle x^{2} =P^{2} +( Circumference)^{2}$



            $displaystyle begin{array}{{>{displaystyle}l}}
            Where Circumference= 2πR. Hence x=sqrt{P^{2} +( 2πR)^{2}}\
            And number of turns, N=frac{L}{x}\
            or N=frac{L}{sqrt{P^{2} +( 2πR)^{2}}}
            end{array}$






            share|cite|improve this answer



















            • 1




              Why is it all in italics? suggest MathJax edit.
              – coffeemath
              Nov 22 at 7:12










            • Is there any problem in italics?
              – Dikshit Gautam
              Nov 22 at 8:23






            • 1




              @JyrkiLahtonen Okay. Thanks
              – Dikshit Gautam
              Nov 22 at 8:39










            • @JyrkiLahtonen I'll take care of it in future
              – Dikshit Gautam
              Nov 22 at 8:40










            • @JyrkiLahtonen Is my answer right?
              – Dikshit Gautam
              Nov 22 at 8:42













            up vote
            0
            down vote










            up vote
            0
            down vote









            $displaystyle begin{array}{{>{displaystyle}l}}
            Let, Radius= R\
            Pitch= P\
            Effective length of helix= L\
            And Number of turns= N\
            First of all we should calculate the length associated with one turn within the helix. Let it be x.\
            Now formula for x is
            end{array}$



            $displaystyle $ $displaystyle x^{2} =P^{2} +( Circumference)^{2}$



            $displaystyle begin{array}{{>{displaystyle}l}}
            Where Circumference= 2πR. Hence x=sqrt{P^{2} +( 2πR)^{2}}\
            And number of turns, N=frac{L}{x}\
            or N=frac{L}{sqrt{P^{2} +( 2πR)^{2}}}
            end{array}$






            share|cite|improve this answer














            $displaystyle begin{array}{{>{displaystyle}l}}
            Let, Radius= R\
            Pitch= P\
            Effective length of helix= L\
            And Number of turns= N\
            First of all we should calculate the length associated with one turn within the helix. Let it be x.\
            Now formula for x is
            end{array}$



            $displaystyle $ $displaystyle x^{2} =P^{2} +( Circumference)^{2}$



            $displaystyle begin{array}{{>{displaystyle}l}}
            Where Circumference= 2πR. Hence x=sqrt{P^{2} +( 2πR)^{2}}\
            And number of turns, N=frac{L}{x}\
            or N=frac{L}{sqrt{P^{2} +( 2πR)^{2}}}
            end{array}$







            share|cite|improve this answer














            share|cite|improve this answer



            share|cite|improve this answer








            edited Nov 22 at 8:15

























            answered Nov 22 at 6:15









            Dikshit Gautam

            815




            815








            • 1




              Why is it all in italics? suggest MathJax edit.
              – coffeemath
              Nov 22 at 7:12










            • Is there any problem in italics?
              – Dikshit Gautam
              Nov 22 at 8:23






            • 1




              @JyrkiLahtonen Okay. Thanks
              – Dikshit Gautam
              Nov 22 at 8:39










            • @JyrkiLahtonen I'll take care of it in future
              – Dikshit Gautam
              Nov 22 at 8:40










            • @JyrkiLahtonen Is my answer right?
              – Dikshit Gautam
              Nov 22 at 8:42














            • 1




              Why is it all in italics? suggest MathJax edit.
              – coffeemath
              Nov 22 at 7:12










            • Is there any problem in italics?
              – Dikshit Gautam
              Nov 22 at 8:23






            • 1




              @JyrkiLahtonen Okay. Thanks
              – Dikshit Gautam
              Nov 22 at 8:39










            • @JyrkiLahtonen I'll take care of it in future
              – Dikshit Gautam
              Nov 22 at 8:40










            • @JyrkiLahtonen Is my answer right?
              – Dikshit Gautam
              Nov 22 at 8:42








            1




            1




            Why is it all in italics? suggest MathJax edit.
            – coffeemath
            Nov 22 at 7:12




            Why is it all in italics? suggest MathJax edit.
            – coffeemath
            Nov 22 at 7:12












            Is there any problem in italics?
            – Dikshit Gautam
            Nov 22 at 8:23




            Is there any problem in italics?
            – Dikshit Gautam
            Nov 22 at 8:23




            1




            1




            @JyrkiLahtonen Okay. Thanks
            – Dikshit Gautam
            Nov 22 at 8:39




            @JyrkiLahtonen Okay. Thanks
            – Dikshit Gautam
            Nov 22 at 8:39












            @JyrkiLahtonen I'll take care of it in future
            – Dikshit Gautam
            Nov 22 at 8:40




            @JyrkiLahtonen I'll take care of it in future
            – Dikshit Gautam
            Nov 22 at 8:40












            @JyrkiLahtonen Is my answer right?
            – Dikshit Gautam
            Nov 22 at 8:42




            @JyrkiLahtonen Is my answer right?
            – Dikshit Gautam
            Nov 22 at 8:42



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