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
Replies
3.8 inches?
John Svenson, builder, remodeler, NE Ohio
Wait....maybe that would be 1.9 inches. Had to convert diameter to radius.
John Svenson, builder, remodeler, NE Ohio
I get 1 foot, but I rounded, and made a few assumptions.
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
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
Looks like we agree.John Svenson, builder, remodeler, NE Ohio
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.
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.
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
I think you could get away with two saddles, on opposite sides of the earth (like the poles).
The Poles would reject the pipeline running through Krakow -
Jeff
That's a great question.
1'?
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).