Dr. Zimski

... and explain any implied wisdom (or possibly duhr-duhr-duuhrhrhr) regarding... Pi = n[sin(180/n)], lim n approaches infinity

I have a funny problem here... Solve for X: (sinX)/X = 0.5

I was just wondering, why isn't there a Geology forum?

If you integrated that, wouln't it be r'/720(theta)+r'(theta), since 1/2 of 1/360 is 1/720?

^^^I already thought of that, but it seemed too easy an answer to be true. I'll look more into that though... if it turns out to be right, thumbs up.

I might have already posted this in this forum quite some time ago, but the problem just came back to me, and now I want to solve it again, or at least know the solution. Here it is, more in depth: Arc length of a spiral Say you are givin a spiral with an initial radius r' (read r-prime), where r' is any real number greater than 0. As the radius "spins" it grows at the same rate as it "spins". So for every degree it rotates, the radius gains 1/360th of it's initial length (r'); exapmle- if r' = 1 cm, after 90 degrees the new radius is 1.25 cm, then after a full revolution it is 2 cm. And this goes on for however many revolutions. What I need it a solution for any number of revolutions, and partial revolutions. Or a nudge in the right direction at the very least.

I have never heard of that. It kind of helps, but I still have to weed through hundreds of articles to find some that are helpful at all. I'm looking for actual websites, not seach engines. (.edu, .gov, or .org would be best, .com's are fine if the site is reliable). Sorry if I'm being too difficult, I'm trying hard enough on my own as it is.

Ok, here's my story... I'm a Senior in highschool, I have to do a Senior Project in order to graduate, and I've choosen my topic to be physical exercise. My only problem I have is I can't find any sources exept a few referecne books and the rare plausable website source. I can look for more books at my school library, and the one near where I live as well, but the internet is a problem. Search engins are unreliable, since the first 10,000 results are aimed torwards fat people who need to loose wieght, or anorexic people who THINK they need to loose wieght. More specificly, I need to do research on the physiological effects of exercise and whatnot. So if anybody knows any good RELIABLE and PLAUSABLE website that have such information, or could find a few for me, that would be great. Thanks in advance.

First of all, everyone who took high school physics knows that acceleration can be modeled by the slope of a line gragh, where the x-axis designates time(s), and also where the y-axis designates velocity(m/s). But I have a little paradox that kinda bugs me. Let's say that an object is moving at a constant speed of 5m/s, and then for some reason, (the reason is irrelevant) it just stops without slowing down. Now I plotted it on a graph, and apparently, the acceleration of the object is infinite. Am I missing something here?

Yep, that's the theory. I kinda find it a little confusing to, but I hope this can explain it further... When you stand on a spinning platform and hold two lead wieghts away from you, you will start to spin faster as you draw the wieghts closer to yourself. According to E=mc^2, the increased speed will increase your mass, and thus increase your gravitational force. The same concept works for the particles of dust and rock that created the Earth. Though, a person who actually go to college for physics might explain it better then me.

I think this would make sense... In a null-G enviroment (in other words, space), tiny loose particles, such as dirt, tend to "clump" together. It would be my best guess that that is the gravitational force of the tiny particles acting on each other.

For the first one, I made an equation setting (kx^2 - kx - 6)/(x + 1) equal to (kx^2 - kx - 6)/(x + m). You can solve it, but it's obvious by just looking at it that m = 1.

That's a big misconception. Yes, a number can be divided into infinite fractions, but that has nothing to do with an object's motion. For example, let's say an object is moving at a speed of 10 cm per sec. In order for the object to follow your theory, it must slow down constantly and never stop moving. But in the real world, the object would keep a consistant speed (assuming it isn't acted upon by an outside force) and eventually pass whatever barrier you designate.

I meant cylinder, not cone. Yes, that is a spiral. But what I mentioned before (not in my main question though), was completely different from a spiral. Never mind anyways, I don't need to know how to figure the length of a spiral anymore.

I know that a spiral has no strait lines, what I was talking about in my other post was a coil, like a metal spring. A spiral is completely different.

This is a kind of "theory" I made up, if for nothing more than a science fiction story. Keep in mind that this "theory" I show to you is somewhat incomplete and open to new concepts, and I also wrote it in only a couple of hours. Well, keep an open mind and enjoy. If there are any concepts you feel that I am missing, feel free to share them. First of all, one thing the string theory suggests is that the universe is sort of "donut shaped", and worm holes could be used as a shortcut to the other side of this curved universe. But imagine that these worm holes could also send us to another completely different universe. Ponder that and I'll get back to it. Now, here is where this theory gets, for lack of better word, impropable. What if our universe left imprints? What if every second, of every minute, of every hour, of every day, of very week, of every month, of every year, or every decade, or every generation, of every century, of every millenia, etc... a new universe was created, and was a perfect mirror image of that particular time in when which it was created. So imagine that these "photographic" universes form a chain, the present being in front, and the copy of the absolute beginning of the universe at the end of the chain. Also imagine that this chain tangles up and looks like a ball or knot of string that keeps getting bigger and bigger, until it cannot get any bigger, so it "dies" and form it grows a new universe, kind of like how a animal or plant cell grows. I would like to remind you at this point, that everything I say here in this is based on "what if..." more than "what can...". I should also remind you that I mentioned worm holes earlier and said that I would get back to them. Now, if, by any chance, as miniscule as it may be, that what said before is true, than one could somehow control a worm hole, or createone, and tell it where to go, one could travel to one of the many copies of the universe and therefore travel time. Eh, most of this is BS, but it would make for a good si-fi story.

How would one measure the length of a spiral? I tried figuring it out with nothing but a piece of paper and a pencil, but could figure nothing. I have a feeling it might have something to do with log, cos, sin, and/or tan. Thank's in advance for your help, and I'm sorry if I sound stupid.