What is Revolution: Definition and 410 Discussions
In political science, a revolution (Latin: revolutio, "a turn around") is a fundamental and relatively sudden change in political power and political organization which occurs when the population revolts against the government, typically due to perceived oppression (political, social, economic) or political incompetence. In book V of the Politics, the Ancient Greek philosopher Aristotle (384–322 BC) described two types of political revolution:
Complete change from one constitution to another
Modification of an existing constitution.Revolutions have occurred through human history and vary widely in terms of methods, duration and motivating ideology. Their results include major changes in culture, economy and socio-political institutions, usually in response to perceived overwhelming autocracy or plutocracy.
Scholarly debates about what does and does not constitute a revolution center on several issues. Early studies of revolutions primarily analyzed events in European history from a psychological perspective, but more modern examinations include global events and incorporate perspectives from several social sciences, including sociology and political science. Several generations of scholarly thought on revolutions have generated many competing theories and contributed much to the current understanding of this complex phenomenon.
Notable revolutions in recent centuries include the creation of the United States through the American Revolutionary War (1775–1783), the French Revolution (1789–1799), the Spanish American wars of independence (1808–1826), the European Revolutions of 1848, the Russian Revolution in 1917, the Chinese Revolution of the 1940s, the Cuban Revolution in 1959, the Iranian Revolution in 1979, and the European Revolutions of 1989.
Amazing info from a slow cooker recipes facebook group. If only Fleischmann & Pons had put a clay pot over their experiment...
OTOH, they aren't exactly wrong.
Honestly i have very little idea.
F * delta t = p
F * delta t /m = v
So i know the speed of the rod
And i know that however high the rod is supposed to go, when its back down it should have done excactly one revolution.
I have the feeling that I should
So probably i have to use something like...
I found this problem, which I thought was interesting and somewhat original:
Calculate the volume of the solid of revolution of the area between the line ##y = x## and the parabola ##y = x^2## from ##x = 0## to ##x = 1## when rotated about the axis ##y = x##.
First, I calculated the inverse of ##y=e^x## since we're talking about y-axis rotations, which is of course ##x=lny##.
Then, helping myself out with a drawing, I concluded that the total volume of the solid must've been:
$$V=\pi\int_{0}^{1}1^2 \ dy \ +(\pi\int_{1}^{e}1^2 \ dy \ - \pi...
So I was reading my topic named "atoms" and got confused at a paragraph. It goes like this.. I encircled the paragraph
when they told " "frequency of electromagnetic waves emitted by the revolving electrons is equal to the frequency of revolution" I got confused at 'frequency of revolution'...
In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our understanding of causality. He brought together many strands of thought that had gone before him, then synthesized them into an integrated whole, with many...
In the mid-1990's, an electrical engineer/computer scientist by the name of Judea Pearl started to change the world by greatly improving our understanding of causality. He brought together many strands of thought that had gone before him, then synthesized them into an integrated whole, with many...
The Singapore Flyer is a very tall Ferris wheel.It is 315 meters tall and has a diameter of 150 meters. Each revolution takes about 30 minutes. If you were allowed to ride for 3 hours, how far would you travel? How much of a mile or how many miles would you travel?
My question is, why is the circled integral the chosen integral for this case?
My thoughts are that we don't just use ##\int_0^1e^{-x}## because we need to make this two dimensional area into a three dimensional volume by doing 360 degrees of rotation. This would correspond to ##2πr##. ##2π## is...
Homework Statement
Peter has a spherical shaped water tank with radius R. At the top of the tank there's a small hole. Peter wants to know how much water there is left in the tank by measuring the distance L from the hole to the water surface.
Find an explicit form for the water volume V(L), 0...
Homework Statement
Hello,
a bowl is created when rotating the function
f(x) =
\begin{cases}
0, & 0 \leq x \lt 6 \\
(12/\pi)arcsin(x-6), & 6\leq x \leq 7
\end{cases}
around the y-axis. Find the height (h) and the volume (V) of the bowl.Homework EquationsThe Attempt at a Solution
So, I graphed...
Hello friends and fellow Physics enthusiasts
At the beginning let me confess that I am more of a sleeping member though I do follow this forum quite closely. Today, I am posting to seek some help from fellow Physics educators. I hope this is the right section of the forum to post, if not, I...
There are two ways to revolve, around Y or X and the formulas are different.
If I have something bounded by $$f(x) = x^2 + 1$$. I can write $$x = \sqrt{y - 1}$$. But, is it wrong to swap axis to show that I'm integrating dy, not dx?
Homework Statement
Let R be the area in the xy-plane in the 1st quadrant which is bounded by the curves y^2+x^2 = 5, y = 2x and x = 0. (y-axis). Let T be the volume of revolution that appears when R is rotated around the Y axis. Find the volume of T.
Homework EquationsThe Attempt at a Solution...
Homework Statement
A container with height 4.5 is created by rotating the curve y = 0.5x^2 0 \leq x \leq 3 around x = -3 and putting a plane bottom in the box. Find the volume V of the box.
Homework EquationsThe Attempt at a Solution
I want to solve this by using the shell method. I have...
Classical physics is difficult because it is based on differential equations, and the differential equations of interest are usually unsolvable. The student must invest a lot of time in learning difficult math, and still can only analyze very simple systems.
This difficulty arises in the first...
O'Neill's Elementary Differential Geometry contains an argument for the following proposition:
"Let C be a curve in a plane P and let A be a line that does not meet C. When this *profile curve* C is revolved around the axis A, it sweeps out a surface of revolution M."
For simplicity, he...
Why is this way of thinking wrong?. can't I assume that when Δx tends to zero is a sufficient approximation of what I want to get? It confuses me with the basic idea of integrating a function to get the area beneath a curve of a function (which isn't also as perfect) .
PD: I put Δx tends to...
The problem is, find the surface area of the volume of revolution generated by rotating the curve y=e2x between x=0 and x=2 about the x-axis.
Here's what I have so far...
SA=∫y√(1+y2)dx
=∫e2x√(1+4e4x)dx
and from here I'm not really sure what to do. Any help would be appreciated.
We should note that the two functions intersect at $\displaystyle \begin{align*} x = -\frac{1}{2} \end{align*}$ and $\displaystyle \begin{align*} x = 1 \end{align*}$.
(a) Using the method of washers, the inner radius is $\displaystyle \begin{align*} 3 - \left( x + 1 \right) = 2 - x...
Hello.
I am looking for guidance.
I have been working in software industry for about eight years now.
I see that the trend is moving towards making a machine intelligent.
I want to be part of this trend and move forward.
My questions is:
What skills do I need to become part of this era of...
Lets suppose for a stroy, that a time traveller arrive in a civilization that hasnt reached iron age yet. He isn't a well qualified engineer or doctor, but he becomes a king.
How much he could help their development by simply telling : with really hot fire, you could produce iron, not just shape...
Is drawing of graphs of solids of revolutions important topic of mathematics? This makes me remerber conic sections topic. Conic sections topic belongs to algebra and drawing their graphs is important. So where does solids of revolutions belong to? I know calculation of their volumes belongs to...
Homework Statement
an object starts from rest and has a final angular velocity of 6 rad/s. the object makes 2 complete revolutions. find the object's angular acceleration.
Homework Equations
wf^2=wi^2+2αd
The Attempt at a Solution
Not sure what to do with the revolutions, would it take act as...
Homework Statement
Find the area of the surface generated by revolving the curve y=√x+1, 1≤ x ≤5, about the x-axis.
I'm stuck trying to figure out how I can use substitution...if I am even able. I was trying to rewrite 1 as 4(x+1)/4(x+1) but still can't seem to get the right terms to cancel...
HELP I can't find the surface of revolution! By donuts I mean a circle that doesn't touch the axes (tore in french)
y^2+(x-4)^2=2^2 is my function ( y^2+x^2=r^2) and the axe of rotation is y
so y= sqrt(r^2-x^2)
the formula I know :
2* pi (Integral from a to b (F(x)*sqrt( 1+ (f``(x))^2))...
Hi! I guess this question must be easy, but it's driving me crazy: in what time of the year does the Earth "trails" the Sun in its current galactic movement towards Vega? And, could you please confirm that during this period Vega is not visible because it's always facing the "day side" of the...
According to quantum mechanics, an electron possesses orbital angular momentum. And we know that orbital angular momentum is possessed by revolving body. Does electron revolve around the nucleus? Please explain. I shall be very much thankful to you.
Homework Statement
Suppose that a surface has an equation in cylindrical coordinates of the form ##z=f(r)##. Explain why it must be a surface of revolution.
Homework EquationsThe Attempt at a Solution
I consider ##z=f(r)## in terms of spherical coordinates.
## p cosφ = f \sqrt{(p sinφcosθ)^2...
Hello,
I'm trying to calculate Moon revolution period but always got 27.53 instead of 27.32.
G = 6.674e-11 (m^3 kg^-1 s^-2)
M = 5.9724e24 (kg) from http://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html
R = 384400000 (m) Earth Moon distance
From 4π^2 * R^3 = GM*T^2,
got moon revolution...
1. Find the centroids of the solids formed by rotating completely about the x-axis the plane regions defined by the following inequalities:
(a) y^2 < 9x, y>0, x<1
(b) xy<4, y>0, 1<x<2
2. I used the equation for solids of revolution:
Integral from a to b of (x[f(x)]^2.dx) / Integral from a to b...
Homework Statement
Find the volumes of the solid formed when each of the areas in the following perform one revolution about the X axis...
Question: The volume line in the first quadrant and bounded by the curve y=x^3 and the line y=3x+2.
Homework Equations
Volume of revolution about X-axis...
Homework Statement
The total area between a straight line and the parabola is revolved around the y-axis. What is the volume of revolution?
According to the book, the answer is ; My answer comes out to be
Homework Equations
The Attempt at a Solution
1. Rewrite the second equation in...
To start with, we should find the points of intersection of the two functions, as these will be the terminals of our regions of integration.
$\displaystyle \begin{align*} 2\,x^2 &= x + 1 \\ 2\,x^2 - x - 1 &= 0 \\ 2\,x^2 - 2\,x + x - 1 &= 0 \\ 2\,x\,\left( x - 1 \right) + 1 \,\left( x - 1...
Q5. Here is a graph of the region to be integrated and the line to be rotated around.
First we should find the x intercept of the function $\displaystyle \begin{align*} y = 3 - 4\,\sqrt{x} \end{align*}$ as this will be the ending point of our region of integration.
$\displaystyle...
Here is a graph of the region to be rotated. Notice that it is being rotated around the same line that is the lower boundary.
The volume will be exactly the same if everything is moved down by 4 units, with the advantage of being rotated around the x-axis. So using the rule for finding the...
Here is a sketch of the region to be rotated and the line to be rotated around.
Notice that the volume will be exactly the same if we were to move everything up by 3 units, but with the advantage of rotating around the x axis. So we want to find the volume of the region under $\displaystyle...
Here is a sketch of the region to be rotated.
To find a volume using cylindrical shells, you first need to picture what the region would like like when that area is rotated around the y axis. Then consider how it would look if that solid was made up of very thin cylinders.
Each cylinder has...
Here is a sketch of the region R and the line to be rotated around.
Clearly the x-intercept of $\displaystyle \begin{align*} y = 3 - 3\,\sqrt{x} \end{align*}$ is (1, 0) so the terminals of the integral will be $\displaystyle \begin{align*} 0 \leq x \leq 1 \end{align*}$.
We should note that...
We should first find the $\displaystyle \begin{align*} x \end{align*}$ intercept of the function $\displaystyle \begin{align*} y = 2 - 5\,\sqrt{x} \end{align*}$, as this will be the end of our region of integration.
$\displaystyle \begin{align*} 0 &= 2 - 5\,\sqrt{x} \\ 5\,\sqrt{x} &= 2 \\...
Given
$$x_1^2 -y^2=a^2, \ \ x_2=a+h$$
Or
$$x_1=\sqrt{a^2+y^2}$$
Find
Volume about the $y$-axis
So...
$$\pi\int_{a}^{h} \left(x_2^2-x_1^2\right)\,dy$$
Actually I am clueless?!
I've been trying to figure out why you can't use the average value of a function to determine the volume of a solid of revolution.
As an example:
Trying to find the volume of a solid of revolution on y=√x from 0 to 1 around the x-axis.
The definite integral is 2/3, which divided by one is...
Homework Statement
Find the volume of the solid obtained by rotating y=x^2 and x = y^2 about y=2
Homework Equations
V= 2πrh
The Attempt at a Solution
When I had constructed the graph I determined the following:
r= 2-(y(1/2))
h= 1-y2
after converting V into an integral I applied fundamental...