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.

View More On Wikipedia.org
Recent contents Top users
  1. M

    Volume of solid of revolution - y axis.

    Homework Statement Find the volume of the solid of revolution when we rotate the area limited by the x-axis and the function f(x) = 1 - cosx where x e [0, 2∏] once around the y-axis? The Attempt at a Solution In my notes I have the following equation: V = ∫ 2∏x f(x) dx If I put...
  2. L

    Period of revolution of two double stars

    Homework Statement Two double stars of the same mass as the sun rotate about their common center of mass. Their separation is 4 light years. What is their period of revolution? Homework Equations Lagranian = T - U = \mu\dot{r}^{2}/2 + \vec{L}^{2}/2\mu r^{2} - Gm_{1}m_{2}/r F = ma =...
  3. S

    Find the volume of the solid of revolution.

    Homework Statement Problem: Find the volume of the solid of revolution obtained by rotating the area bounded by the curves y = x^2 – 2 and y = 0 about the line y = -1. Consider only that part above y = -1. Solution: The solution is attached as TheSolution.jpeg. Homework Equations...
  4. MarkFL

    MHB Adwt's question at Yahoo Answers regarding surfaces of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  5. J

    Surface area of Revolution

    Homework Statement I want the surface area of Revolution about x from [-2,2] of y = |x| So I want to know if I can take it x from [0,2] and just multiply this result by 2? Homework Equations The Attempt at a Solution Set up dy/dx = (5/(2√x)) S = 2 ∏ ∫ 5x^1/2(√ 1...
  6. paulmdrdo1

    MHB Integration application: solids of revolution

    need some help here. 1. find the volume (by washer method) of the solid generated by revolving the region bounded by $y=3+x^2$ and the line $y=4$ about the x-axis. 2. write the integral that will give the volume of the solid generated by revolving the region bounded by $y=e^{2x}$, $x=-1$ and...
  7. Ryan_m_b

    Fantasy with industrial and social revolution

    Despite the 20+ answers in this thread I think most of us would agree that life for 99% of fantasy world inhabitants would be awful. Strip away the royal courts, the fellowships, the magic schools etc and most of the time you're left with a feudalistic world full of peasants that have to work 10...
  8. MarkFL

    MHB Solid of revolution about an oblique axis of rotation

    Hello MHB, As students of calculus, we are taught to find the volumes of solids of rotation obtained by revolving given regions about horizontal and vertical axes of rotation. But, what if the axis of rotation is neither horizontal nor vertical? Please consider the following diagram: We wish...
  9. MarkFL

    MHB HelloWorld's questions at Yahoo Questions invovling solids of revolution

    Here are the questions: I have posted a link there to this topic so the OP can see my work.
  10. MarkFL

    MHB Forrest's question at Yahoo Answers regarding a solid of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  11. MarkFL

    MHB Bassman's question at Yahoo Answers regarding a solid of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  12. K

    Calc 2 solids of revolution help

    A solid lies between planes perpendicular to the x-axis at x=-a and x=a for values of a>0 to be given below in parts (i) and (ii). In each case the cross-sections perpendicular to the x-axis between these planes run from the semicircle y=√(a^2-x^2) to the semicircle y=-√(a^2-x^2). If...
  13. Fernando Revilla

    MHB Surface of Revolution: Find Equation & Identify Surface

    I quote a question from Yahoo! Answers I have given a link to the topic there so the OP can see my response.
  14. MarkFL

    MHB Belinda Obeng's question at Yahoo Answers regarding a solid of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  15. F

    Volume of Revolution with tan(x)

    Homework Statement Let R be the region between y=tan(x) and the x-axis from x=0 to x=pi/2. Find the volume of the solid formed when R is revolved around the y-axis.Homework Equations Please try to solve this problem using elementary calculus. The textbook is an elementary calculus textbook...
  16. MarkFL

    MHB Panda Bear's question at Yahoo Answers regarding solid of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  17. K

    MHB The volume of the solid generated by the revolution

    find the volume of the solid generated by the revolution of the curve $y^2 (2 a - x) = x^3$ about its asymptote.
  18. Saitama

    Gravitation - Period of revolution of planet

    Homework Statement A planet of mass ##M## moves around the Sun along an ellipse so that its minimum distance from the Sun is equal to ##r## and the maximum distance is ##R##. Making use of Kepler's laws, find its period of revolution. (Ans: ##\pi \sqrt{(r+R)^3/(2GM)}##) Homework...
  19. H

    Volume of revolution, where am i going wrong?

    Homework Statement Find the volume of solid obtained by rotating the region bounded by y=x^2,y=4 and x=0 about the line x=-2 using the shell method. Homework Equations I'm stuck because using disks I got the right answer 136pi/3 but I can't using shells? The Attempt at a Solution...
  20. H

    Volume of revolution where am i going wrong?

    Hey guys I'm stuck on this problem. Its an easy one but I need some help.. It's asking for the volume of the solid obtained by rotating the region bounded by y=x^2, y=4, x=0 about the line x= -2 using the shell method. I got the answer correct using the disk method (answer is 136 pi/3)...
  21. MarkFL

    MHB Huzafa's question at Yahoo Answers regarding a solid of revolution

    Here is the question: I have posted a link there to this topic so the OP can see my work.
  22. A

    Revolution of moon and satellite

    Homework Statement What multiple of the distance between the centre of the Earth and that of the moon is the distance between the centre of the Earth and a geostationary satellite which above a fixed location on the equator?Take the cycle of revolution to the moon around the Earth to be 27...
  23. MarkFL

    MHB Sunshine's questions at Yahoo Answers regarding solids of revolution

    Here are the questions: I have posted a link there to this topic so the OP can see my work.
  24. P

    Quick question about volume of revolution

    Hi, this isn't a specific question but say you had a function y = x - 1 and you were told that the region from x = 1 to x = 3 was rotated 2pi radians and were asked to find the volume of revolution formed. My question is, would this volume of revolution be the same if they said it was rotated...
  25. MarkFL

    MHB Men's question at Yahoo Answers regarding a volume of revolution

    Here is the question: Here is a link to the question: Find the volume of the resulting solid by any method? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  26. MarkFL

    MHB Amanda's question at Yahoo Answers regarding a solid of revolution

    Here is the question: Here is a link to the question: Calculus homework help? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  27. J

    Volume of a Solid By Revolution

    Homework Statement Find the volume of the solid generated by revolving about the line x=-1, the region bounded by the curves y=-x^2 + 4x - 3, and y=0. Homework Equations Shell Method? The Attempt at a Solution V= 2pi * ∫x* f(x) dx, where a and b are the lower and upper limits of...
  28. N

    Volume of revolution problem. Tricky

    Homework Statement Find the volume of the solid rotated about the given axis Homework Equations ∫R^2-r^2dx Disk method The Attempt at a Solution I'm having trouble finding the limits of integration: here's my setup Pi∫(x^3+1)dx and integrated from -1 to 1. I got this by setting...
  29. C

    Are black holes bound to galactic revolution?

    A couple of quick questions after watching a video on the helectic model that the solar system follows on it's course around the galactic center. Please bare with me these maybe idiotic questions. A) Are black holes bound to the spin of the galaxy or do they sit in place on the galactic plane...
  30. MarkFL

    MHB Frank Rodgriguez's question at Yahoo Answers regarding a solid of revolution

    Here is the question: Here is a link to the question: Find the volume of the solid obtained by revolving the region enclosed by y = xe^x , y = 0 and x = 1? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  31. S

    MHB Solid of revolution vs. area below 1/x

    How come the area below the graph of \frac 1x between [1, \infty) does not exist, but the solid of revolution below the same graph in that same interval does exist? I do not see the logic.
  32. MarkFL

    MHB SW1986's question at Yahoo Answers regarding a solid of revolution

    Here is the question: Here is a link to the question: Volume of a solid of revolution about x=3? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  33. MarkFL

    MHB Joey e's questions at Yahoo Answers regarding solids of revolution

    Here is the question: Here is a link to the questions: Calculus Disc/washer/shell method.? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  34. L

    Finding the Volume of a Whisky Glass: Which Method Results in More Whisky?

    Homework Statement The region R shown in Fig. 1 is bounded by the line y=8(x-2), the axes, and the line y=h. Find by integration the volume formed when R is rotated through 360° about the y axis(see Fig. 2) A whisky glass has the shape indicated in Fig 2 where the units are centimetres...
  35. R

    Finding period of revolution of stars?

    Homework Statement In a certain binary-star system, each star has the same mass which is 7.5 times of that of the Sun, and they revolve about their center of mass. The distance between them is the 7.5 times the distance between Earth and the Sun. What is their period of revolution in years...
  36. Petrus

    MHB Calc Volumes of Rotation Bodies | x-axis & 7x-x^2

    Calculate the volumes of the rotation bodies which arises when the area D in the xy-plane bounded by x-axis and curve 7x-x^2may rotate around x- respective y-axes. I will calculate V_x and V_y I start to get crit point x_1=0 and x_2=7 rotate on y-axe: 2\pi\int_a^bf(x)dx so we get...
  37. J

    Calculate the volume of the solid of revolution of f(x)=e^x

    Homework Statement Calculate the volume of the solid of revolution formed by rotating the region around the y-axis. Apply the shell method. f(x)=e^x, x=0, y=8 Homework Equations V=∫2∏x((f(x))-g(x))dx The Attempt at a Solution This is what I did: (I integrated from 0 to 8)...
  38. N

    Is gravity just an illusion in the universe?

    Earth is revolving around the Sun at a great speed. Our Galaxy is also moving away from other galaxies at a great speed and so on and so forth there are many kinds of motions that we are subjected to ( Earth's rotation, galaxy's rotation etc.). Plz tell 1. Are all these motions uniform (steady)...
  39. MarkFL

    MHB NICK's question at Yahoo Answers regarding a solid of revolution

    Here is the question: Here is a link to the question: Calculus ii question!? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  40. icesalmon

    Volume of Revolution: Finding the Volume of a Solid Revolved Around the Y-Axis

    Homework Statement Find the volume of 2sin(x) and -sin(x) from 0 to pi revolving around the y-axisThe Attempt at a Solution My problem is with the geometry of this problem, 2sin(x) is above the x-axis and -sin(x) is below the x-axis. My belief was that I should be adding on the extra area of...
  41. icesalmon

    Finding Volume of Torus by Revolving Semi-Circle

    Homework Statement A torus is formed by revolving the region bounded by the circle x2 + y2 = 1 about the line x = 2. Find the volume of the solid. The Attempt at a Solution I've actually got the answer correct. I'm using shell method. My height, h(x), I believe is double the area of...
  42. L

    Solids of revolution question

    Homework Statement Find the volumes of the solids generated a) x-3y+3= 0, x=0 , y=2 about the x axis I sketched the graph got a straight line, I then proceeded to integrate y2 ∏∫y2δx =[(x^3/27)+(x^2/3)+ (x)] from x=3 to x=-3 I got 8∏ but the answer is 5∏ b) x-y2-1=0, x=2...
  43. L

    Finding Volume of Solid of Revolution around Y-Axis

    Homework Statement Find the volume of the solid generated by rotating about the y-axis y= 1-x3 x=0 , y=0 I tried sketching the graph of y= 1-x^3 then tried to find the volume from y=1 to y=0. if x^3 = 1-y x= (1-y)1/3 so x2= (1-y)2/3 ∏∫x2δy => ∏∫(1-y)2/3.dy = ∏[ -3/5(1-y)^(5/3)] I did that...
  44. phosgene

    Improper integrals and solids of revolution

    Homework Statement Let n>1/2 and consider the function f(x)=x^{-n} for x\in[1,∞) Calculate the volume of the solid generated by rorating f(x) about the x-axis, showing all details of your working. Homework Equations Since it is rotated about the x-axis, its axis of symmetry is...
  45. MarkFL

    MHB Henry's question at Yahoo Answers concerning a surface of revolution

    Here is the question: Here is a link to the question: Calculus 2 help me please? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.
  46. D

    Binary Star System Period of Revolution

    Homework Statement (a) Consider a binary star system in which the two stars have masses M1 and M2 and the stars move on circular orbits separated by a distance R. Derive the formula for the period of revolution. (b) Suppose M1= 1.22M and M2= 0.64M (where M = mass of the sun) and R= 0.63...
  47. P

    Need help with finding surface area of a solid of revolution

    1. Use the integration capabilities of a graphing utility to approximate the surface area of the solid of revolution. (Round your answer to four decimal places.) Function: y = sin(x) Interval: [0, pi/4] revolved about the x-axis 2. Use the area of a surface of revolution...
  48. MarkFL

    MHB Rickkyredu's question at Yahoo Answers (shell method for solid of revolution)

    Here is the question: Here is a link to the question: Shell method calculus? - Yahoo! Answers I have posted a link there to this topic so the OP may find my response.
  49. T

    Solids of Revolution around y = x

    Is it possible to revolve a function around y = x? If so how would you do it? I suppose the main difficulty is in finding the radius for the area of a disk or cylinder. Is there any method that works will all or most functions?
  50. PhizKid

    Solids of revolution volume

    Homework Statement Volume of the region bounded by y = x^2 and x = y^2 about y = 1 Homework Equations \pi r^2 The Attempt at a Solution So the functions look something like this: I decided to use method of washers with respect to x. The radius if the center is at y = 1 of...
Back
Top