NeoPets Riddles (Lenny Conundrums) and Answers Here

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i generall agree with kelly (as i usually do) except that i kinda think that you should multiply our arrived at difference in length of rope by 16, since it says the rope makes 16 full turns ... wouldn't that mean that our distance would repeat 16 times?
=/ maybe not.... i can imagine it working with both 15 or 16.

i submitted 1**7

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@edstock,

OK, maybe im mistaken here, but there is no "pitch" if the cylinder is straight up and down. I was thinking pitch applied to triangles or cones... Am I crazy?

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oh -- and i agree with kelly about the warhammer website solution: it doesn't account for pitch really. it assumes a tight wrap.

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We're supposed to square root right?

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@K311Y,

Quote:

OK, maybe im mistaken here, but there is no "pitch" if the cylinder is straight up and down. I was thinking pitch applied to triangles or cones... Am I crazy?

Pitch here refers to the distance between adjacent wraps of the string as it coils around the cylinder. In electrical coils, it is a measure of how far apart the windings are in the coil. You don't want them to touch as then the electricity will jump between loops of the wire instead of flowing through the wire. (None of which is germane to this problem.)

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@jjbuttcrack,

Quote:

oh -- and i agree with kelly about the warhammer website solution: it doesn't account for pitch really. it assumes a tight wrap.

I absolutely don't see anything in that solution that requires a tight wrap.

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kelly, you kind of have to think of the pipe unwound into a triangle defined by the lines of the rope... like, if you ever took apart a toilet paper or paper towel roll you'd see what they mean.

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@edstock,

So then how are we calculating pitch? Is that the 143.75?

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@Firestar624,

Quote:

We're supposed to square root right?

a^2 + b^2 = c^2

We know a and c and are trying to find b, so yes, you will probably want to take a square root at the end.

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@K311Y,

Ok, I see what you mean JJ.

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@K311Y,

Quote:

So then how are we calculating pitch? Is that the 143.75?

I'm not calculating pitch. I just want to find the total height. If you happen to want to know the pitch for some reason, you would divide the total height by 16, the number of times the string wraps around the cylinder.

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@edstock,

Right, but according to this formula, dont we need to know the pitch in order to find the height?

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@K311Y,

L^2 = (pi*D*N)^2 + (P*N)^2
= N^2 * (pi*D)^2 + P^2)

L = N*sqrt((pi*D)^2 + P^2)

This is the formula I assumed we were all talking about.

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Ok I did all the square rooting and everything and i got 2**5. Anyone else? I probably messed up.

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@K311Y,

Actually it thought that is to find the length of the wire, so that's unnecessary. I just used the table above that is in the form of a right triangle.

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@K311Y,

Quote:

Right, but according to this formula, dont we need to know the pitch in order to find the height?

I'm not using the formula from the Math Forum page, just the trick of unwrapping into a triangle. They are trying to calculate L, the length of the string, which is the hypotenuse of the triangle, when they already know P. We know L as part of the problem and we aren't asked for P, but rather for the entire height, which is 16 times P.

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kelly -- i think our answer is more straightforward. it would be nice if someone could use this formula, though, to confirm it. has anyone got this to work out to something like: 1**7cm?

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@Firestar624,

Quote:

Ok I did all the square rooting and everything and i got 2**5. Anyone else? I probably messed up.

That matches my answer.

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@jjbuttcrack,

Quote:

kelly -- i think our answer is more straightforward. it would be nice if someone could use this formula, though, to confirm it. has anyone got this to work out to something like: 1**7cm?

Sorry, I think I missed your solution. Could you summarize it again so I can perhaps see where we differ?

NeoPets Riddles (Lenny Conundrums) and Answers Here

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