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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Twisted Tape Measure

Geometry - Twisted Tape Measure


Expert: Azeem Hussain - 3/31/2009

Question
March 31, 2009

Azeem,

If you pull a long steel measuring tape out to, say, 10 meters, and make a mark there, the mark will be, of course, at 10 meters.  But where will the mark be if the tape is twisted one revolution?  I can see it will be at less than 10 meters, but how does one calculate that distance short?

In case it's not clear, by "twisted one revolution" I mean that one end of the tape or the other has (mistakenly) been rotated 360 degrees.

In thinking about this problem I wonder about such variables as how wide the tape is and how tightly it can be twisted.  Also, I realize this might not be a question of geometry but rather topology or something.

Can you dream up a way to make such a calculation?

Thanks.

--Johnny

Answer
Hi Johnny,

There are undoubtedly the variables of tape width and how tightly it can be twisted.  From my own experimentation, there is no difference in the length measured after twisting.  Or if there is, it is truly negligible compared to the distance being measured.

I cannot provide you with any calculations, but even if I could, there would be several variables involved and I wouldn't know how to account for them.

Hope this was somewhat helpful,
Azeem

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