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Math problem

StanFoster | Posted in General Discussion on September 21, 2008 05:19am

I work with Pi all the time and have been involved more than once with this discussion.

Most dont understand the relationship with Pi to the diameter of a circle.  Heres a problem to solve…and then there will be a follow up question.

Say you are welding a pipeline that goes all the way around the earth to the beginning.  The last pipe is one foot too long.  Instead of cutting off that one foot… you decide to put the pipe up in saddles all the way around the earth.  What height should these saddles lift the pipe?

 

Stan

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  1. Svenny | Sep 21, 2008 05:23am | #1

    3.8 inches?

    John Svenson, builder,  remodeler,  NE Ohio

  2. Svenny | Sep 21, 2008 05:25am | #2

    Wait....maybe that would be 1.9 inches. Had to convert diameter to radius.

    John Svenson, builder,  remodeler,  NE Ohio

  3. RedfordHenry | Sep 21, 2008 05:45am | #3

    I get 1 foot, but I rounded, and made a few assumptions.

  4. User avater
    jonblakemore | Sep 21, 2008 05:46am | #4

    I would make the saddles 1-29/32" tall.

    I would do the same if you were asking about hose clamp around a piece of 3/4" pipe.

     

    Jon Blakemore

    RappahannockINC.com Fredericksburg, VA

    1. brownbagg | Sep 21, 2008 05:51am | #6

      you are assuming that the world is completely round at the same elevations. so since its not you are 17 feet 3 inch and 3/8 too short

    2. Svenny | Sep 21, 2008 05:52am | #7

      Looks like we agree.John Svenson, builder,  remodeler,  NE Ohio

      1. StanFoster | Sep 21, 2008 06:34am | #8

        Svenny:   You are correct.   It doesnt matter if you have clamp around a pipe as was mentioned...a basketball..earth...or the Milky Way galaxy.  Adding one foot to any of these circumferences will all raise it a tad over 1.9 inches.   One foot divided by Pi...divided by 2 is the answer.

         

         

        1. geoffhazel | Sep 21, 2008 08:14am | #9

          Wouldn't it float above the earth all the way around? Or at least, couldn't it? Heck , we might not even need the little shims.

          1. StanFoster | Sep 21, 2008 02:08pm | #10

            geoff....well of course this isnt practical at all...the earth isnt a perfect smooth curve...but if it were...then this band would need little saddles spaced to keep the separation even all the way around.

             

             

             

            Stan

          2. geoffhazel | Sep 22, 2008 03:17am | #11

            I think you could get away with two saddles, on opposite sides of the earth (like the poles).

          3. User avater
            Jeff_Clarke | Sep 22, 2008 04:34am | #12

            The Poles would reject the pipeline running through Krakow -

            Jeff

  5. Jim_Allen | Sep 21, 2008 05:50am | #5

    That's a great question.

    1'?

  6. DonCanDo | Sep 22, 2008 04:05pm | #13

    Is this for Exxon's new global pipeline? :-)

    This would be a whole lot easier in the metric system...

     

    earth diameter = 7926 miles = 41849280 feet (5280 feet/mile)

    earth radius = 3963 miles (1/2 D) = 20924640 feet

    earth cirumference = 131406739.2 feet (2*pi*R)

     

    pipe cirumference = 131406740.2 feet (1 foot more than earth)

    pipe diameter = 41849280.31 feet (circumference / pi)

    pipe radius = 20924640.15 feet (D / 2)

     

    So the radius for the pipe needs to be .15 feet (a little less than 2 inches).

     

     

     

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