53 109
Assignments Done
97,7%
Successfully Done
In October 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Other Math Question for Rob Johnson

Question #22863
Hi, I'm doing a project for college involving essentially a huge torsion spring loaded tape measure.<br><br>I've been struggling with this problem for a while and no matter how much i research I cannot find a solution! Basically, I need to work out the reel diameter if all of my tape is retracted fully.<br><br>The tape is 50mm wide and 1mm thick and 120ft long.<br>Any help would be much appreciated!
Expert's answer
1ft = 30,48cm = 304,8mm;
120ft=36576mm;
When we rotate the tape length of first circle is PI anddiameter equals, length of second circle is 2PI and diameter equals 2, etc.;
In this way in every circle we spend d*PI mm of tape, so ifwe have diameter d=n, we already have spent PI(1+2+...+n)mm of tape.
In this way PI(1+2+...+n)<=36756.
PI*(1+n)*n/2<=36756;
(1+n)*n<=2*36756/PI;
n^2+n-73512/PI<=0;
73512/PI=23400;
If we solve this problem, we get that -153<=n<=152;but n is natural, that's why 0<n<=152; max{n}=152; In this way answer:
diameter equals 152mm.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question