Revolution Definition and 412 Threads

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. James889

    Calculating Area of Solids of Revolution

    Hi, I have the area D(x,y): \sqrt{x}e^{x^2}\leq y \leq 3,~~ 0\leq x \leq 1 That is rotated about the x axis, and i need to calculate the area \pi \int_0^1 3^2-y^2 = \pi \int_0^1 9-xe^{2x^2} \frac{-9\pi}{4}\cdot (e^{2x^2}-1)\bigg|_0^1 But this is all wrong, why?
  2. James889

    How Do You Calculate the Volume of a Solid Revolved Around the Y-Axis?

    Hi, The area e^x-1 Is rotated about the y axis, bounded by y=1, x=0 and x=ln2 find the volume of the solid. And i am clearly making something wrong, so if anyone could verify my work. ~ 2\pi\int_0^{ln2}x\cdot(1-(e^x-1) -2\pi\int_0^{ln2}xe^x-2x Integration: u=x, du=1 dv=e^x, v=e^x...
  3. Z

    Solid of revolution question: given height of a cylindrical core in a sphere

    Homework Statement A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow cylindrical core of height h. Show that the volume of this solid is independent of the radius of the ball. Homework Equations V = \int_{a}^{b} 2\pi x (f(x) - g(x))...
  4. B

    What is the period of revolution for an artificial planet

    Homework Statement A science fiction tale describes an artificail "planet" in the form of a band completely encircling a sun, the inhabitants living on the inside surface (where it is always noon). Imagine the sun is like our own, that the distance to the band is the same as the Earth-Sun...
  5. O

    Surface Area of a Solid of Revolution

    Homework Statement Homework Equations integral [a, b] 2*pi*x*sqrt(1 + (dy/dx)^2) The Attempt at a Solution Well I know how to do surface area questions... But that the @#$@ is with this random equation? How would I even start to evaluate it... Like honestly... I don't even understand the...
  6. B

    How Do Volumes Change When Revolving R(x)=x^3 Around Different Axes?

    R(x)=x^3 bounded by x=0, x=2 and y=1. a. revolved around x=2 b. revolved around x=10 my pathetic attempt: a. v=pi[(integral from 0 to 1)(2-y^1/3)^2]dy so =pi[4y-3y^(4/3)+(3/5)y^(5/3)]evaluated from 0 to 1 =(8/5)pi b. v=pi[(integral from 0 to 2)(10-x^3)^2]dy I must admit that I...
  7. J

    Volume of a solid of revolution

    Homework Statement Find the volume of the solid that results when the region bounded by the curves y=16-x^{2} and y=16-4x is revolved around x=8. If you could show me how to do it with both the shell method and washer method it would be greatly appreciated. Homework Equations...
  8. S

    Volume of revolution at line x=-4

    Homework Statement Find the volume of the solid obtained by rotating the region bounded by the curves y=0,y=sin(6x),x=6,x=0 about the axis x=−4. Homework Equations cylindrical method? circumference*thickness*height The Attempt at a Solution So I'm not sure how to write the...
  9. S

    Area of revolution of hyperbola

    Homework Statement Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the hyperbola y2−x2=4 and the lines y=0, x=3 and x=5 about the y− axis. Homework Equations Nothing specific...general equations The Attempt at a Solution So I would...
  10. D

    Setting up an Integral for the area of a surface of revolution

    Homework Statement Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve y=xe-x 1=<x=<3 about the y-axis. Homework Equations S=integral from a to b x 2pix ds where ds=sqrt(1+(dy/dx)2)dx The Attempt at a Solution The first thing I...
  11. P

    What is the Volume of the Solid Generated by Revolving a Triangular Region?

    Homework Statement Find the volume of the solid generated by revolving the triangular region bounded by the lines y= 2x, y= 0 and x= 1 about the line x= 1. Homework Equations V= \int A(x)dx = \int \pi[R(x)]^{2}dx The Attempt at a Solution I used the disk method, in which I found...
  12. B

    Relation with counting volume of a solid revolution

    Homework Statement let f(x)=x^3+x^5. Evaluate int((f(x)^-1)^2, x = 0 .. 2) The Attempt at a Solution i have a feeling that it has a relation with counting volume of a solid revolution.but i don't know how to answer it...
  13. Garth

    From time to timescape – Einstein’s unfinished revolution?

    In today's Physics ArXiv: FROM TIME TO TIMESCAPE – EINSTEIN’S UNFINISHED REVOLUTION Dark Energy as simply a mis-identification of gravitational energy gradients and the resulting variance in clock rates? David Wiltshire's Abstract: Garth
  14. Ƒ

    What is the Formula for Calculating Surface Area of Revolution?

    I know that the surface area of a revolution is equal to the integral from a to b of 2pi times the radius time the arc length. But, why isn't it just the integral from a to b of the circumference?
  15. C

    Volume of the solid of revolution

    i need someone to explain to me where i am making a mistake because i am getting an answer that differs from that of the book. the solid lies between planes perpendicular to the x-axis at x = 0 and x = 4. the cross-sections perpendicular to the axis on the interval 0 ≤ x ≤ 4 are squares...
  16. P

    Find the Volume (Solid of Revolution)

    Find the volume of the solid y = sinx, y=cosx, and x= pi/4, revolving around x-axis I didn't really get this at all... do I plug pi/4 for x in y=sinx, y=cosx to get the integra boundaries?
  17. P

    Finding the Volume of a Wedge Using Calculus - Calculus Worksheet Solution

    A log having the shape of a right circular cylinder of radius a is lying on its side. A wedge is removed from the log by making a vertical cut and another cut at an angle of 45 degrees, both cuts intersecting at the center of the log. Find the volume of the wedge. And as soon as I finish...
  18. F

    Finding the area of revolution

    How can i get the volume of this problem Homework Statement y = cosx, y = sinx , x = pie/2 , and the y-axis finding the volume about x & y axis
  19. Z

    Software to graph a volume (solid) of revolution?

    Homework Statement I am writing a paper on volumes of revolution. Unfortunately I haven't been able to find any suitable programs to represent them graphically. (I apologize if I am posting in the wrong forum.) Homework Equations Graphing the volume of revolution of, say...
  20. S

    Does Changing the Moon's Volume Affect Its Revolution?

    Let us consider the revolution of the moon around the Earth. If the moon was expanded like a balloon so that it had the same mass but different volume (and therefore lower density), would it effect the moon's revolution in any way? I probably sound like a retard right now...:confused:
  21. I

    Ellipsoids and Surfaces of Revolution

    My textbook notes that if: \frac{x^{2}}{a^{2}}+ \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}}=1 and a \neq b \neq c Then the ellipsoid is not a surface of revolution. It seems to me though that one can always find a curve in the plane, which when rotated around a line will produce the...
  22. C

    (repost since typos) Volume of revolution using shell method

    (EDITED) 1. Use the shell method to find the volume of the solid generated by revolving about the y-axis. x=y^2, x=y+2 2. same as #1, except change y and x for the two equations and revolve about x-axis. I tried doing 2pi\int_{x=0}^4(x)(\sqrt{x}-x+2)dx but the answer is off for #1. I...
  23. C

    Volume of revolution: shell method

    (EDITED) 1. Use the shell method to find the volume of the solid generated by revolving about the y-axis. x=y^2, x=y+2 2. same as #1, except change y and x for the two equations and revolve about x-axis. I tried doing 2pi\int_{x=0}^4(x)(\sqrt{x}-x+2dx but the answer is off for #1. I tried...
  24. K

    Revolution of a curve along a axis

    Homework Statement given z =y3 revolved around the y-axis what is the equation of the surface and then graph. Homework Equations The Attempt at a Solution I have no idea how to approach this, i tried searching around the net but nothing came out. pls help.
  25. K

    Was the French Revolution preventable?

    To what extent was the French Revolution preventable ?
  26. T

    - Integration, Rate of Change, and Volume of Revolution Questions

    Please Help! - Integration, Rate of Change, and Volume of Revolution Questions Hi I have completes these following questions but am not sure if I have done them correctly as it is a long time since i studied these topics. I would really appreciate any help. :-) 1 Simplify the following as...
  27. Loren Booda

    How Will Electronic Data Transform the Art of Biography Writing?

    How will future biographies differ from those past, given the proliferation of electronic data?
  28. B

    Area of a surface of revolution around the x-axis

    Can the Surface area of a revolution be NEGATIVE? I am calculating this in parametric equations? finally I hope this is the right forum to ask this question.
  29. B

    Area of a surface of revolution around the x-axis

    Can the Surface area of a revolution be NEGATIVE? I am calculating this in parametric equations? finally I hope this is the right forum to ask this question.
  30. M

    Does the earth rotate and undergo revolution with the same speed?

    does the Earth rotate and undergo revolution with the same speed?is the rotation and revolution in same direction
  31. N

    Volumes of Revolution - Ellipsoid

    Homework Statement An ellipse is rotated around the y-axis, find the volume of this solid. Homework Equations x^2 / a^2 + y^2 / b^2 = 1 \pi\int_{a}^-a x^2 dy The Attempt at a Solution I'm having trouble solving this; I know that the upper and lower bounds of the curve occur on...
  32. C

    Three volume of revolution with shell method problems

    Homework Statement 1. Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. y= \frac{1}{x}, x = 1, x = 2, y = 0 2. A solid is generated by revolving the region bounded by y =...
  33. T

    How to Find the Surface Area of a Revolution?

    Homework Statement Find area of surface generated by revolving about x-axis. y=x^3/3 1<=x<=sqrt(7) Homework Equations find f'(x) = x^2 The Attempt at a Solution A = integral[ (x^3/3) * [(1+(x^2)^2] ^(1/2) ] ]dx = integral[ (x^3/3) * [(1+x^4) ^(1/2) ]dx I just don't know...
  34. P

    General Equations for Certain Volumes of Revolution

    The volume of a cone = 1 - B H where B is the base of the cone and H is its height. 3 We can think about a cone as the line y = x rotated with respect to the y axis. The...
  35. S

    Idea for paper on the scientific revolution

    I'm currently taking a course called 'the scientific revolution' and I have to write a paper (~4500 words) for it. The subject can be pretty broad, it doesn't neccesarily have to do with the scientific revolution, there's some room for improvisation. Now I was thinking, what about a paper that...
  36. D

    Find Volume of Revolution by Integrating 1/sqroot(3x+2) around x=0 and x=2

    so i have y = 1/sqroot(3x+2) find volume when rotated around x, regions are x=2 and x=0 equation needed: V= integral Pi*y^2*dx so. i do intergral pi* (1/sqroot(3x+2))^2 * dx so i get pi integral 1/(3x+2) dx so how do i integrate 1/sqroot(3x+2) ? can someone take me...
  37. GRB 080319B

    How Do You Determine the Radius in Solids of Revolution Problems?

    Is there a simple or generalized way (formula) to generate the radius of a solid of revolution? How does the orientation of the function relative to the axis of revolution affect the radius (radius= 4-f(x) or 4+f(x))? Why is the radius sometimes only x or y , and other times some other function...
  38. T

    Finding volume though revolution

    Write a definite integral that gives the volume of the solid of revolution formed by revolving the region bounded by the graph of x = e^(−y^2) and the y-axis between y=0 and y=1, about the x-axis. Not sure how to set up the problem
  39. gulfcoastfella

    Combining Mathematica Surface's of Revolution

    Hi, I've been plotting potentials and electric fields inside and outside shells; when I create 2 separate RevolutionPlot3D plots for the potentials (1) inside the shell and (2) outside the shell, I'd like to combine them into one plot. I tried using the Show function, but Mathematica doesn't...
  40. V

    Angular revolution deceleration

    http://img15.imageshack.us/img15/858/masteringf.jpg a: 550-150 = 400rev change 400/60 = 6&2/3 rev/s (converted to revs) 6.66666 / 3.5 seconds = 1.9 rads^-2 since it's decelerating i put -1.9 rads^-2 now part two i got wrong, b: \thetaf=\thetai + \omegai * t +...
  41. M

    Calculate Radius & Period of Revolution of Doubly Charged He Atom

    Homework Statement A doubly charged helium atom whose mass is 6.6 \times 10^{ - 27} {\rm{kg}} is accelerated by a voltage of 2800 V. What will be its radius of curvature if it moves in a plane perpendicular to a uniform 0.370 -T field? What is its period of revolution?Homework Equations F=qvB...
  42. T

    Finding volumes of revolution using centroids

    In my Cal II, we're discussing finding volumes of revolution using centroids, which we find using moments of x or y. Can someone explain to me what a moment is?
  43. J

    Calculating satellites´ period of revolution

    Homework Statement Earths´ satellite orbits 4200km above Earths surface. Count satellites´ trajectory circle-shaped and calculate satellites´period of revolution. The Attempt at a Solution I added the Earths´ radius to the 4200 km, which represents the orbiting attitude and then my mind...
  44. M

    Surface area of a solid of revolution

    Homework Statement Consider now a shape that is obtained by revolving the “infinitely long” function f (x) = 1/x , 1 ≤ x < ∞ around the x-axis. Find both the surface area of the resulting object, and the enclosed volume of it, i.e. the volume of the solid obtained from revolving the...
  45. R

    Easy Solid of Revolution Problem

    It's not that the problem is extremely hard, it's just got me second guessing myself all the time when I happen to think about it. (Problem from a test last Friday) Homework Statement Find the volume of the solid formed by revolving the area bounded by y=x^2, y=4 about the x-axis.Homework...
  46. D

    Volume of Solid of Revolution: Trash Can Problem

    Homework Statement I have to go around and find the volume of a silo-shaped trash can using solid of revolution height 91cm Circumference 119.3cm Diameter 15cm http://common.csnstores.com/United-Receptacle-European-Designer-15-Gal.-Round-Top-Receptacle~img~UR~UR1180_l.jpg is what the...
  47. N

    How Do You Calculate the Radii for Washers in Solids of Revolution?

    y=x^2 ; y=4; rotated around x=2 im seeing a washer cross section with r=2-y^(1/2); im unclear on how to get R to calculate the area it seems to be 2r but this produces incorrect results.
  48. M

    Is a Revolution in Physics Imminent?

    I just finished reading Niels Bohr's times: In Physics, Philosophy and Polity by Abraham Pais. It is an amazing book on the life of an extraordinary genius. This book really got me thinking into the state of physics in the 21st century. The last great discovery, unless I am mistaken, was the...
  49. G

    Volume of a sphere (solid of revolution)

    Hi guys, I did post this over on the h/w c/w forum last week, but I think actually it is out of the scope of that, plus its not actually h/w c/w, its my general wondering :D So I am having an issue with the volume of a sphere and calculating it. I am using the method where the solid, sphere...
  50. G

    Volume of a sphere (solid of revolution)

    EDIT: [so sorry guys i thought I had clicked h/w c/w calculus section, if any admin could move this thread there that would be really appreciated, sorry for posting in the wrong sub-forum] Hi guys, I am having an issue with the volume of a sphere and calculating it. I am using the method...
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