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.

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  1. F

    Calculating Angular and Linear Speed and period of revolution

    Homework Statement A toy truck moves around the outside of a circle of radius 0.6m at 2 revolutions per second Calculate: a: the angular speed of the truck b: the linear speed of the truck c: the period of revolutionHomework Equations ω= \frac{2π}{T} \\ v=rω ?? The Attempt at a Solution For...
  2. J

    Solid of revolution knowing only area?

    Suppose I have a region R whose boundary extremely complicated. While it would take me hundreds of years to approximate the boundary with formulae, I can easily estimate the area of R within a desired precision. I want to find the volume of the solid of revolution of R . My intuition told...
  3. MarkFL

    MHB B's question at Yahoo Answers involving a solid of revolution

    Here is the question: Here is a link to the original question: Find the volume V of the solid obtained by rotating the region bounded by x=16-(y-3)^2, x+y=7 about the x-axis? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response. First, let's take a look...
  4. A

    Shortest possible period of revolution of two identical gravitating solid spheres

    Homework Statement From K&K's 'Intro to Mechanics' Find the shortest possible period of revolution of two identical gravitating solid spheres which are in circular orbit in free space about a point midway between them. Homework Equations The Attempt at a Solution So I figured...
  5. J

    How Does Shrinking Affect the Rotation Speed of a Planet?

    Homework Statement Planet A (at X meters) completes 1 full rotation (Y sec). Planet A then shrinks to (X2 meters) What is its rotation speed now. Conservation of angular momentum Homework Equations T=2pi/w W=V/r The Attempt at a Solution I found how to reverse engineer the...
  6. A

    Rotation and Revolution in relativity

    I have a question about the concepts of rotation and revolution - on how they are treated in relativity. Since all motion is relative, a revolution of a planetary body around a central body could also be seen instead as a rotation of the central body w.r.t. a fixed (non-revolving) planetary...
  7. Fantini

    MHB Volume of Revolution Solid: Finding the Answer

    Good morning everyone! I have been presented the following problem: Find the volume of the revolution solid around the $x$ axis of the region between the curves $y=x^2 +1$ and $y=-x^2 +2x +5$ for $0 \leq x \leq 3$. Finding the intersection of the curves yields $x=-1$ and $x=2$. Therefore, I...
  8. P

    Solid of Revolution: Integration Boundaries Explained

    Hi, I have a question concerning solid of revolution. The bowl-shaped volume formed by rotating the area circumscribed between y=bcosh(1) and y=bcosh(x/a) around the y-axis was given to us by the instructor as pi*b*int [x^2*d(cosh(x/a))] between 0 and a. My question is why are the integration...
  9. V

    Surface area of solid of revolution (no calculus)

    Homework Statement Consider the region of the x y plane given by the inequality: x^2 + 4x + y^2 - 4x - 8 ≤ 0; If this region rotates an angle of π/6 radians around the line given by the equation x + y = 0, it will create a solid of revolution with surface area equal to (i)...
  10. M

    Different ways of calculating a solid of revolution

    In my calculus exam, I would like to know for all of the questions that I am 100% right (who wouldn't?). I can be sure of this for most basic questions using my graphics calculator (fx-9750gii) and some simple maths. One thing I want to know how to be "completely sure" to solve are solid of...
  11. G

    Calculating the Surface of Revolution: Solving a Challenging Integral

    Greeting everyone I am trying in integrate this function, to obtain the surface of revolution of a function. 1. Relevant equations \int_{-1}^{1} 2\pi\sqrt\frac{x^2 (1 - x^2)}{8}\sqrt{1+(\left| x\right | \frac{-2x^2+1}{2(-x^2+1)^{1/2}*2^{1/2}x}})^2 2. The attempt at a solution I tried to...
  12. I

    Rotating About y=-1: Volume of Region Bounded by sinx and cosx?

    Homework Statement Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y=sinx, y=cosx, 0≤ x≤∏/4, About y=-1Homework Equations The Attempt at a Solution Tried 2 ways, shell...
  13. Fredrik

    Revolution: Will Eric Kripke and JJ Abrams Strike Gold?

    "Revolution" TV show Less than 3 weeks to the premiere now. (September 17). What do you think? Will it be it be silly but fun to watch like Flash Forward, or awful like Flash Gordon? I would love to hear a technobabble explanation for this, but I don't think we'll get one. The show is...
  14. C

    Finding the volume of a solid revolution (shell method)

    Let f(x)=9-x^2. Let A be the area enclosed by the graph y=f(x) and the region y>=0. Suppose A is rotated around the vertical line x=7 to form a solid revolution S. So, using the shell method, I was able to find the indefinite integral used. I found the shell radius to be (7-x) and the shell...
  15. S

    What Is the Correct Surface Area of a Curve Rotated Around the X-axis?

    Homework Statement Find the area of the surface obtained by rotating the curve y=x3, 0≤x≤2 about the x-axis. Homework Equations \begin{equation*} SA = \int_{0}^{2} 2 \pi y L \end{equation*} The Attempt at a Solution SORRY, I don't know how to use LaTeX yet. ∫2∏y√(1+(dy/dx)2)dx from 0->2...
  16. G

    The first superstring revolution

    Tell me if this is a fair characterization of the first superstring revolution or the discovery made by Schwarz-Green in 1984. Schwarz-Green found a theory that allowed for the cancellation of anomalies provided that 10 dimensions existed and the gauge group is (SO(32) and E8 x E8) which...
  17. H

    Scaling Polynomial Functions for Water Bottle Design

    Homework Statement For an assignment, I'm required to design three water bottle using 3 different polynomial functions. I've used a linear, quadratic and cubic. The first bottle needs to be 600ml, the second 300ml, and the third 1L. In order to 'create' the bottles, we are to calculate the...
  18. J

    MHB Find Volume of Wine Glass on Side with Solids of Revolution

    Apparently when a "snifter" glass is placed on it's side and filled up to the tip, this volume is the optimum amount that should be poured to make a shot. Hence i have put a glass on an axis and modeled an equation for the top half of the glass... f(x)=...
  19. D

    How to compute the area of a hyperboloid of revolution?

    Assume that the implicit equation of the one-sheeted hyperboloid is (x/a)^2 + (y/a)^2 - (z/c)^2 = 1 How am I able to obtain the surface area of hyperboloid ? Thanks
  20. N

    Surface area of a solid of revolution

    Homework Statement Having recently learned the disk/shell/washer method for finding the volume of a solid of revolution, I'm trying to apply similar methods to derive the formula for the surface area of a cone (and hopefully after that, that of a sphere). The region that is revolved around...
  21. T

    Another volume of revolution around x axis

    Homework Statement Find the volume of the area bounded by y^2 = 4ax and x=a rotated around the x-axis. Homework Equations integral of pi R^2 dh The Attempt at a Solution I just don't know how to handle the x=a part of the boundary. Any hints? thanks
  22. H

    Arc length & area of surface of revolution

    Hi everyone! I have two questions, one about area of surface of revolution and another is about arc length... I really fail to do this two question despite many times of trying so I hope someone can help me 1. Find the area of the surface of revolution generated by revolving the arc of the...
  23. D

    Distance of planets from stars and revolution

    Hi dudes, My questions are: What does planet's revolution depends? If for example is there a planet 4 time the mass of the Earth at about its same distance from a star 4 time the mass of sun, could it be it has the same revolution period ot the eath?
  24. M

    MHB Another Solid of Revolution problem

    I'm finding myself stuck again. This time it is more in the set up then the solving. Find the volume of the following solid of revolution. The region bounded by y=\frac{1}{x^2}, y=0, x=2, x=8, and revolved about the y-axis. I am trying to use the shell method to solve this, as it seems the...
  25. M

    MHB Volume of Solid of Revolution: Find Solution Here!

    Hey guys and gals. Hoping someone can help out with a problem I am finding myself stuck on. The question goes as follows. Solids of revolution. Find the volume of the solid of revolution. The region bounded by \(y= \frac{ln(x)}{\sqrt(x)}\), y=0 and x=2, revolved about the x-axis. The problem...
  26. I

    Has anyone read Alex Detail's Revolution?

    It's not a popular series, but there's a lot of sci-fi talk in there that's really interesting (mostly related to space/planets/stars). Lol just wondering if anyone has read it
  27. R

    Area of Surface of Revolution of Plane Curve - Use 1/2 Interval?

    Homework Statement Find the area of the surface generated by revolving the curve Homework Equations x = 5(cos3t), y = 5(sin3t), 0 ≤ t ≤ \pi, about the y axis. The Attempt at a Solution x' = -15(cos2t)(sin t) y' = 15(sin2t)(cos t) (I think this forms the top part of an astroid)...
  28. A

    Most Influential Invention, or process invention of the Industrial Revolution

    What single invention between 1775 and 1913 has had the biggest impact on humanity and why? Also it could be a process like say the Bessemer process or a simple item like the lightbulb.
  29. Y

    Gmail Tap - Keyboard Revolution

    For anyone who hasn't seen it yet, did google get you with this? Gmail Tap Google typically does some pretty clever things for April Fools, and I typically see right through. This one got me though, I thought to myself, "Oh great now I'll have to learn Morse Code." I was actually stupid...
  30. U

    Best software to show a solid of revolution

    Hi, I am doing a project for the math department and in it I would like to revolve this piecewise (3) function about the x axis. I have found programs like winplot which are pretty easy but it will only show the finished product. I am looking for something that I can either manipulate or it...
  31. K

    How to parameterize solid of revolution?

    Homework Statement Here is the surface I need to parameterize. It is a solid of revolution. Homework Equations The Attempt at a Solution So since its a piecewise function, I can define it as follows (x-2)^2 + z^2 = 1, 1<x<2 z = -x+3, 2<x<3 z = x-3, 2<x<3 I know...
  32. B

    Solid Of Revolution Problem - Washer

    Homework Statement Find the volume of a solid created when the area between the function y=x^2+1 and the x-axis (for 0<x<2) is rotated about the line y=-2. Homework Equations Vs = ∏*r^2*h The Attempt at a Solution I can't seem to set this up correctly and am thrown by the inner radius...
  33. S

    Finding period of revolution of an electron (fairly )?

    Finding period of revolution of an electron (fairly urgent)? Homework Statement A doubly ionized atom (charge = +2e) whose mass is 3.65E-26 kg is accelerated by a voltage of 3950.0 V and enters a region where a uniform magnetic field B = 0.0500 T acts perpendicular to its motion. a) What is...
  34. D

    Integral calculus: volume of a solid of revolution

    Homework Statement Find the volume of the first quadrant region bounded by x=y-y3, x=1 and y=1 that is revolved about the line x=1. The Attempt at a Solution dV=∏R2t where : t=dy R=1-(y-y3) =1-y+y3 so.. dV=∏(1-y+y3)2dy dV=∏(1-2y+y2+2y3-2y4+y6)dy V=∏∫ from 0 to 1 of...
  35. S

    How long will it take for one cylinder to turn one revolution?

    Homework Statement A cylinder is initially at rest, how long will it take for the cylinder to turn one revolution? Homework Equations (Theta)f=(Theta)i+(alpha)(deltaT) The Attempt at a Solution I know that the distance of the cylinder to turn one revolution is 2Pi over speed. My...
  36. L

    Surface area obtained by solid of revolution

    Homework Statement Find surface area of solid of revolution obtained by rotating the curve: y=x2/40-5lnx from x=5 to x=7, rotated about x=-4 The Attempt at a Solution The problem is I know how to do this if I rotated it about x-axis/y-axis, but I have no idea how to do it if the...
  37. 2

    Help extending volumes of revolution to fourth dimension

    I am currently learning about volumes of revolution in calulus, and have looked ahead to surfaces of revolution as well. I want to try and extend this concept to revolving 3d functions over the x-axis into the fourth dimension. I found this thread...
  38. I

    Volume of cathedral dome (Using volumes of revolution, disk method)

    Homework Statement A cathedral dome is designed with three semi circular supports of radius r so that each horiontal cross section is a regular hexagon. Show that the volume of the dome is r^3 * sqrt(3) an accompanying figure - http://imgur.com/3fSqh Homework Equations...
  39. H

    How do I find the volume of a solid of revolution using the Shell method?

    Homework Statement Find the volume of the solid obtained by rotating the region bounded by y=2x2-x3 and y=0 about the y-axis Homework Equations There no required method (between Disk, Washer, Shell). In my attempt below, I used the Shell method, I believe. 2π(shell radius)(shell...
  40. S

    Solid of revolution about other lines

    Homework Statement Hey we have started solids of revolutions using disk, washer, and shell methods. But I came across a problem i cannot figure out. "The region of the graph of y=x^2 and the x-axis, for 0<x<2, rotated about the line y=4. Homework Equations Area of a circle = ∏r^2...
  41. AakashPandita

    Revolution of electron and that of the planets

    planets do not loose energy when they orbit the sun due to interplay of centripetal and centrifugal force. Then why is this system not able to explain that electrons do not loose energy while orbiting the nucleus?
  42. K

    Volume of Solid Revolving Around x & y Axis

    I have to find the volume of the solid whose area is bound by the equations y=-x+3 \ and \ y=x^2-3x as it revolves around the x and y axis. I approached it by finding the center of mass and then using Pappus's theorem: M_{x}=\int^{3}_{-1} \frac{1}{2}((-x+3)^2-(x^2-3x)^2)\,dx = \frac{64}{15}...
  43. Greg Bernhardt

    Is the iPad textbook revolution really worth it?

    I'm surprised this hasn't been discussed yet. Apple not too long ago announced their intent to enter the world of textbooks. This capability was likely at the forefront of the decision to develop the iPad. The upside is that the textbooks can be easily updated, dynamic and mobile. The...
  44. R

    Can Planets Revolve Without Rotating and What Determines Their Direction?

    can Earth revolve around the sun without rotating itself? why some planets revolve clockwise and some other anticlockwise? what decides this direction?
  45. J

    What is the Volume of a Solid of Revolution Rotated about the x-axis?

    Homework Statement Find the volume obtained by rotating the solid about the specified line. y=2-(1/2)x, y=0, x=1, x=2, about the x-axis. Homework Equations I used the disk method The Attempt at a Solution I drew a sketch and used disk method. For the radius I used 2-(1/2)x...
  46. V

    Solve Volume of Revolution Problem: y=x^{-2} to y=e Rotating Around Y-Axis

    Problem The area between y=x^{-2} and x=1 & y=e is rotating around the y-axis. What is the volume? Attempt \pi\left( r_{outer\mbox{}} \right)^{2}\; -\; \pi \left( r_{inner\mbox{}} \right)^{2} \; \; \; \delta y. \frac{1}{x^{2}}=y\; gives\; \frac{1}{y}=x^{2}\; and\; r=\sqrt{y} V=\pi...
  47. W

    Surface area formula proof - integrate circumference of volume of revolution

    Homework Statement I believe this is intended to be a proof of the formula πrl, surface area of a cone. Homework Equations A complete volume of revolution gives you a cone - the height h is the x value on a graph, the radius r is the y value. The y intercept is zero, therefore y=r/hx ...
  48. J

    Rotating pendulum hang from a wooden bar with a revolution speed of 0.15 rev/s.

    Homework Statement Part c: A pendulum is attached to a 0.15m wooden bar sticked horizontally to a table by a string of 0.12m. If the system is revolved with a revolution speed of 1.5 rev per second, what is the angle θ the pendulum make with respect to the vertical axis? Homework...
  49. S

    Finding revolution of different sized wheels

    Ok the answer in the back of my book says 974 revolutions and a very short hand way to get that is divide the big wheel radius by the small wheel radius to get 3.53 so i can just multiply 3.53 times the 276 rev to get 974 rev. But I tried a long way using the s=rtheta formula b/c on a test I...
  50. E

    Solid of Revolution of an arcsin graph

    1. Consider the function f(x) = arcsin(2x^2 - 1). Write down, but do not attempt to solve, a definite integral in terms of y, which when evaluated will give the volume of the solid of revolution formed by rotating the graph about the y-axis. 2. Endpoints are at (-1, pi/2) and (1, pi/2)...
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