Grimer wrote:pequaide wrote:The F is greater because of the sine of the greater angle. But the greater force is applied for a shorter period of time. If you do a close F * t study the force times time will be equal.
The down swing velocities are equal. And the rise distances are equal. The potential energy of each is equal. The down swing linear momentum s are equal. And in this rare case even the kinetic energies are equal. F*t and f*T are equal. About the only thing that is not equal is L = mvr - angular momentum.
...
Quite so.
And it is that difference that one can exploit.
cf. the Stirling engine example I gave in Cloud's thread where the heat content was the same but the heat intensity (analogous to difference in angular momentum = jerk) was different. It is that difference that Bessler must have exploited.
I can see what the problem is with harnessing Newtonian/Ersatz gravity interaction. It's the same problem the ancients had with the colour blue.
http://uk.businessinsider.com/what-is-b ... lor-2015-2
This is a story "about the way that humans see the world and how until we have a way to describe something, even something so fundamental as a color, we may not even notice that it's there.
As the delightful Radiolab episode "Colors" describes, ancient languages didn't have a word for blue — not Greek, not Chinese, not Japanese, not Hebrew. And without a word for the color, there is evidence that they may not have seen it at all.
How we realized blue was missing
In "The Odyssey," Homer famously describes the "wine-dark sea." But why "wine-dark" and not deep blue or green?
In 1858 a scholar named William Gladstone, who later became the prime minister of Great Britain, noticed that this wasn't the only strange color description. Though the poet spends page after page describing the intricate details of clothing, armor, weaponry, facial features, animals, and more, his references to color are strange. Iron and sheep are violet; honey is green.
So Gladstone decided to count the color references in the book. And while black is mentioned almost 200 times and white about 100, other colors are rare. Red is mentioned fewer than 15 times, and yellow and green fewer than 10. Gladstone started looking at other ancient Greek texts and noticed the same thing — there was never anything described as "blue." The word didn't even exist.
It seemed the Greeks lived in a murky and muddy world, devoid of color, mostly black and white and metallic, with occasional flashes of red or yellow.
Gladstone thought this was perhaps something unique to the Greeks, but a philologist named Lazarus Geiger followed up on his work and noticed this was true across cultures.
He studied Icelandic sagas, the Koran, ancient Chinese stories, and an ancient Hebrew version of the Bible. Of Hindu Vedic hymns, he wrote: "These hymns, of more than ten thousand lines, are brimming with descriptions of the heavens. Scarcely any subject is evoked more frequently. The sun and reddening dawn's play of color, day and night, cloud and lightning, the air and ether, all these are unfolded before us, again and again ... but there is one thing no one would ever learn from these ancient songs ... and that is that the sky is blue."
There was no blue, not in the way that we know the color — it wasn't distinguished from green or darker shades.
Geiger looked to see when "blue" started to appear in languages and found an odd pattern all over the world.
Every language first had a word for black and for white, or dark and light. The next word for a color to come into existence — in every language studied around the world — was red, the color of blood and wine.
After red, historically, yellow appears, and later, green (though in a couple of languages, yellow and green switch places). The last of these colors to appear in every language is blue.
The only ancient culture to develop a word for blue was the Egyptians — and as it happens, they were also the only culture that had a way to produce a blue dye.
..."
And that's the problem. We don't have a word for change in angular momentum. Well we do, actually - jerk - but that is generally used in relation to linear acceleration and not acceleration towards the centre. Come to think of it they don't have a word for acceleration towards the centre which is why they have to qualify it with the words "towards the centre" since it is a different thing from "acceleration" which is implicitly acceleration in a straight line.
In Cloud Camper's thread I pointed out the same problem arises with heat engines. The fact that heat engines are not HEAT engines but difference in temperature engines - and we don't as far as I know have a word for difference in temperature.
I suppose people would have been in the same difficulty before they had a word for acceleration and had to think of it as a difference in velocity.
What it comes to is that we are only slowly beginning to invent a colour language for motion.
