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. K

    Y = sin pi * x Arc Length/Surface Revolution

    Homework Statement y = sin \pix Using arc length and surface revoultion on x-axis 0 <= x <= 1 The Attempt at a Solution d/dx sin \pix = \pi cos \pix (\pi cos\pix)^2 = \pi^2 cos^2\pix \int sin pi * x * 2 * pi * \sqrt{1 + pi^2 * cos^2 (pi*x)} u = pi cos (pi * x) du = -pi^2 * sin...
  2. R

    Centroid of a solid of revolution

    Homework Statement The curve 3x2+2y2-12y=32 is rotated about the x-axis and forms a solid hemisphere. Verify that the weight is 8cm from the bottom of the hemisphere. Homework Equations The Attempt at a Solution Now, I can only do a little bit in centroids but that is for...
  3. K

    Scientific Revolution: Newtonian Physics - gravity waiting to be discovered?

    Homework Statement Im doing a philosophy, history and politics of science subject and the question is whether gravity was waiting to be discovered or was it an intellectual construct particular to the 17th century and Newton. Homework Equations The Attempt at a Solution I'm...
  4. R

    Volume of solid formed by revolution of one loop of Lemniscate of bernoulli

    Hello ppl. I have a problem in finding out the volume of solid formed by the revolution of one loop of lemniscate of bernoulli ( r²=a²cos2θ) about the initial line θ =0 Using the relevant forumula for the volume of the solid generated by the revolution of one loop of the polar curve about the...
  5. Y

    Finding Volume of Solid Generated by Revolving Cycloid Arch Around x-Axis

    [b]1. Find the volume of the solid generated by revolving the region bounded by the x-axis and one arch of the cycloid x=theta-sin(theta), y=1-cos(theta) around the x-axis. [b]2. hint:dV=(pi)y^2 dx [b]3. So far I have been unable to solve for theta so that I can form a relationship...
  6. C

    The Disk/Washer Method: Axis Of Revolution Question

    Homework Statement http://65.98.41.146/~grindc/SCREEN01.JPG Find the volume of the solid generated by evolving the region bounded by y = sqrt(x), y = 0, x = 4, when revolved around the line x = 6 Homework Equations The Disk/Washer Method - The Attempt at a Solution let R(y) =...
  7. L

    Volumes of Revolution: Disk vs. Shell Method Explained

    I've encountered a weird problem in my text...somewhat by accident =P My text only covers volumes of revolution through the disk method, and one of the questions was: Find the volume of the solid obtained when the given region is rotated about the x-axis. c) Under y = 1/x from 1 to 4 Using...
  8. B

    Volumes of Revolution: Revolving about a vertical axis

    Homework Statement Find the volume of the solid obtained by rotating the region under the graph of y=1/x and y=1/x^2 about the vertical axis x=-1 Also given are points on the y-axis (0,2) and (0,5). I guessing these points are specific sections of the graphs where we find the volume...
  9. A

    Volume of revolution integral question

    Homework Statement This project deals with custom made gold wedding bands. Its shape is obtained by revolving the region shown about a horizontal axis. The resulting band has Inner radius R, Minimum Thickness T, Width W. The curved boundary of the region is an arc of a circle whose center...
  10. P

    Solve Solid of Revolution Homework: Area Enclosed by Ellipse & Auxiliary Circle

    Homework Statement The area enclosed between the ellipse 4x^2 + 9y^2 = 36 and its auxiliary circle x^2 + y^2 = 9 is rotated about the y-axis through \pi radians. Find, by integration, the volume generated. This is the whole question. I assume it means bounded by the x-axis, but even if...
  11. K

    Volume, moment, mass of solid of revolution

    Hi there, I have no idea about this question can anyone help? S is a solid of revolution in 3-dimensions, formed by rotating a full turn about the y-axis, the region in the first quadrant of the (x, y)-plane bounded by the interval [1, 2] on the y-axis, and the curve x = (2 − y)(y − 1)^2...
  12. K

    Integration and solid of revolution

    hi I'm super stuck with this question: I'm super stuck with these two problems on one of my practice exams, can anyone help me out? Find the integral between 4 and 3 of (u^2 + 1) / (u - 2)^2 and Find the volume of the solid of revolution obtained by rotating, a full turn about the...
  13. J

    Solve Volume of Revolution (VOR) for x^2+y^2=25|Definite Integrals

    help my final is friday and law school depends upon it.volume of revolution (VOR) for base of x^2 + y^2=25. Assume the square slcies are Peripindxular to the x axis. voR for area between y=2x and y=2cos x revlved aroung the line y=-50 write definite integrals and evaluate thanks in advance
  14. G

    Calculating Time to Complete One Revolution of Airport Carousel

    Homework Statement The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 12.8 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is...
  15. D

    Volume of Solid of Revolution: 115.19 and 77.206

    Homework Statement Find the volume of the solid of revolution: F(x)=2x+3 on [0,1] Revolved over the line x=3 and y=5 Homework Equations Shell Method: 2\pi\int^{b}_{a}x[f(x)-g(x)]dx obviously just sub y for dy Disk Method: /pi/int^{b}_{a}[F(x)^{2}-G(x)^{2}dx The Attempt at a...
  16. G

    What is the Relationship Between Volume and Surface Area of Revolution?

    The Volume of a revolved function can be given by the integral of pi*f(x)^2*dx. For the arc length of a graph, a different integral is available. I understood the proof of these two and their integration is understandable. From such, I was actually expecting that the surface area of...
  17. K

    Angular acceleration, and revolution

    Homework Statement A car engine accerlates from 1080rpm to 4800rpm in 12.5 seconds. Calculate the angular accleration, assumed constant, and the total number of revolutions the engine makes in this time The Attempt at a Solution angular acceleration (a) = (wf - wi) /(tf - ti) (a)...
  18. X

    Volumes of Revolution Word Problem

    Homework Statement Assume that the Earth is a sphere with circumference of 24,900 miles. a. Find the volume of the Earth north of latitude 45 degrees. (hint: integrate with respect to y) b. Find the volume of the Earth between the equator and latitude 45Homework Equations circle: x^2 + y^2...
  19. W

    Volume vs. Area of a Surface of Revolution

    f(x) is a continuous function of x, whose domain is [a, b]. Revolve the graph around the x axis. In doing so you will create a solid. Apparently, to find the volume of this solid, partition the solid into n cylinders along the x-axis from a to b, each partition of the x-axis containing some...
  20. S

    Density of an asteroid from revolution period

    Homework Statement The rotation period of a small asteroid is 10.21 revolutions per day. What is the minimum density for this object?Homework Equations The Attempt at a SolutionI should be able to use angular momentum right? I'm trying to do this by approximating the asteroid as a sphere and...
  21. S

    Area of a Surface of Revolution-

    [SOLVED] Area of a Surface of Revolution--Help Please 1. Problem: The curve y=e^(-x), x>0 is revolvd about the xaxis. Does the resultin surface have finite or infinite area? [Remember tht you can sometimes decide whether improper integral converges w/out calculating it exactly] 2...
  22. E

    Surface area of revolution for an ellipse

    Homework Statement Find the surface area obtained when the upper half of the ellipse: \frac{x^{2}}{4}+ y^{2}=1 is rotated about the x-axis Homework Equations \int2piyds The Attempt at a Solution
  23. F

    Mean Value Theorem to calculate solids of revolution?

    Mean Value Theorem to calculate solids of revolution? Ive been studying calculus on my own because my school doesn't offer it and i came across solids of revolution tonight. In one of the problems it says "What is the volume of the solid formed by rotating y=e^x across the x-axis between...
  24. C

    Did Mass Have Different Units During the Scientific Revolution?

    This may be a weird question, but oh well. Way back during the Scientific Revolution it would have been possible to define mass as acceleration divided by force right? Then you'd have F = a/m, and the units for force would be different than they are now.
  25. A

    Dynamics of Circular Revolution

    [SOLVED] Dynamics of Circular Revolution Homework Statement In another version of the "Giant Swing", the seat is connected to two cables as shown in the figure View Figure , one of which is horizontal. The seat swings in a horizontal circle at a rate of 33.1 rev/min If the seat weighs 252 N...
  26. J

    Can we get a negative value for areas of surfaces of revolution?

    the question is.. Find the areas of the surfaces generated by revolvin the curves about the indicated axes. x = (1/3)y^(3/2) - y^(1/2), 1≦y≦3; revolved about y-axis so i use the general formula "S = Integral 2π (radius)(dS)" and the radiu in this case is x which is (1/3)y^(3/2) -...
  27. A

    Volume of Region A in First Quadrant Rotated Around y = -2

    [SOLVED] Volumes of Revolution Homework Statement find the volume of region A in the first quadrant that is inclosed in the parabola 2x(2-x) and the x-axis, of which is rotated around the axis y = -2. Homework Equations y=(4+2x^2) y= -2 piS(from 0 to 2) (R^2 - r^2) The Attempt at...
  28. F

    When the revolution of the earth on its axis accelerates

    Hi! More than a decade ago, I used to listen to a so-called walking encyclopedia over the radio. One of the radio listeners verified the information that he had read somewhere: That if the Earth revolved on its axis at a much faster rate, then time would become faster. However, this radio...
  29. ~christina~

    How many revolutions does a washing machine tub make during a spin cycle?

    [SOLVED] Washing Machine revolution Homework Statement A tub of a washing machine goes into it's spin cycle , starting from rest and gaining angular speed steadily for 8.00s, at which time it is turning at 5.00rev/s. At this point the person doing the laundry opens the lid and a safety...
  30. N

    Working with Surface of Revolution of Inverse Square

    The problem below is actually in reference to determining the location of a unknown gamma radiation source. However, I believe the solution lies with relatively simple calculus. First, the equation that defines the relationship between the radiation exposure rate and the distance from the...
  31. I

    How do I convert angular speed to revolution

    Homework Statement I need to know how to convert angular speed into revolutions Homework Equations W=2*pi/60 sec, but that's for rad over second The Attempt at a Solution w=2*pif
  32. S

    Finding the Volume of a Revolved Ellipse Using Calculus

    Homework Statement The problem is that an ellipse (centered at origin) is revolved about y-axis. Now I have to find the volume of this swept region. But how do I go about using calculus? I have to derive it. Homework Equations Volume of ellipsoid = 4/3*pi*abc (source wikipedia) Equation...
  33. A

    Revolution using disk method

    Homework Statement Compute the volume of the solid formed in the first quadrant by y=x^4 and y=125x when rotated around the x axis. Homework Equations the integral for a disk is solved by taking the integral from a to b of pi R^2 The Attempt at a Solution I found the...
  34. A

    Direction of revolution of atomic electrons

    all says electrons rounds the nucleus and revolves in its own axis if so in which direction electrons rounds the nucleus?
  35. O

    Area and Volumes of Solid of Revolution

    1. find the area common to r=1+cos@ and r=3^(1/2) sin@ 2. find the volume generated by rotating the region bounded by (x-1)^2 + (y-2)^2 = 4 around a. x axis b. y -axis c. x = 3 d. y = 4
  36. P

    Rate of revolution for a dryer?

    Rate of revolution for a dryer?!? Homework Statement In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a horizontal axis as shown in the figure below. So that the clothes will dry uniformly, they are made to tumble. The rate of rotation of the...
  37. L

    Calculating Area of Ellipsoid: Surfaces of Revolution

    Consider the ellipse: (\frac{x}{2})^2 + y^2 = 1 We rotate this ellipse about the x-axis to form a surface known as ellipsoid. Determine the area of this surface. Start off by solving for y. y = \sqrt{1-\frac{x^2}{4}} Then find the derivative. y' =...
  38. M

    Area Of The Surface Of Revolution

    I have tried this question (http://img524.imageshack.us/img524/9539/scan0001pa1.png) a number of times and always use the formula S = 2*pi*int( y*sqrt( (dx/dt)^2+(dy/dt)^2 ) dt i always get S=6*pi*a^2[1/5*(sin t)^5] 0<t<pi, and because sin 0 = 0 and sin pi = 0 the answer i get is 0. If you...
  39. S

    Why the period of rotation and revolution of moon is same?

    Period of rotation and revolution of moon is same (w.r.t. distant star), that's why we can only view only one face of the moon. Cosmological fact or reasonable science?
  40. B

    Volume of the solid of revolution

    Find the volume of the solid of revolution obtained when the region under the graph of f(x) = \left( \frac{1}{x} \right) e^\frac{1}{x} from x = 1 to x = 6 Homework Equations \pi \int (f(x))^2 dx The Attempt at a Solution Ok, the equation I gave above should be that...
  41. P

    Single man revolution in Theoretical Physics today?

    In the past we had single man revolutions in theoretical physics like Galileo, Newton, Einstein. Will there likely be another figure as big as them today? Or will today be more groups of people building up their ideas rather than a single person producing all the big ideas?
  42. A

    Volume of Revolution: Intuitive Explanation

    If f(x) = x to a power between -0.5 and -1, the area between the f(x) graph and the x-axis from, say x=1 to infinity is infinite, but the volume of revolution of f(x) around the x-axis is finite. This seems counter-intuitive. Can anyone give a satisfying explanation of this - preferably a...
  43. S

    Volumes of revolution not around the axis

    Homework Statement Find the volume of y = 2x^2 y = 0, x = 2 when it is revolved around the line y = 8.Homework Equations Integral formulas for volumes by discs, washers and cylinders.The Attempt at a Solution Translate the curve so that axis of revolution is along the X axis. Is this the...
  44. K

    Surfaces/Areas of Revolution - Parametric

    Suppose that you have a parametric curve given by x = f(t), y = g(t), a ≤ t ≤ b What will the Surface of revolution and Volume of revolution around the x-axis be? I have two candidates: Surface: S = 2*pi*int( |g(t)|*sqrt( (df(t)/dt)^2+(dg(t)/dt)^2 ) , t=a..b) Volume: V = pi*int(...
  45. W

    Volume of Revolution: Find the Volume with Maple Help

    here is the question: The finite plane region bounded by the curve x*y=1 and the straight line 2x+2y=5 is rotated about that line to generate a solid of revolation. Find the volume of solid. İ have to do this on mapple can someone help me how can i do this.
  46. M

    Find Volume of Revolution for y=2+x and y=x^2 about y-axis | Shell Method

    Homework Statement Find the volume generated by rotating the area bounded by y=2+x and y=x^2 about the y-axis. Homework Equations Volume of revolution. The Attempt at a Solution shell method integral (0 to 2) of x(2+x-x^2) dx I think this can be solved by eliminating the left...
  47. S

    Volume of a Solid of Revolution

    Homework Statement Find the volume generated by rotating the area bounded by y^2 = 8x, x = 2 and the x-axis about the y-axis. Homework Equations Volume of cylinder, volume of disk. The Attempt at a Solution I think this can be solved by subtracting the 'empty' volume from the...
  48. S

    What Happens if Earth Stops Revolving and Gravitational Forces Vanish?

    What'll become of Earth if it stops revolving around: 1)Sun in its orbit. 2)Its own axis. Also if gravitation of both Earth & sun is zero what impact'll be upon their condition? N.A No
  49. D

    Calculating Surface Area of a Revolution Rotated About the Y-Axis

    (my first dealings with latex.. so bare with me if this looks a little messed up at first :rolleyes: ) Homework Statement Find the surface area for the equation: x = 3y^{4/3} - \frac{3}{32}y^{2/3} with bounds -216 \leq y \leq 216 rotated about the Y-axis. Homework Equations \int^a_b 2\pi...
  50. E

    Angular Acceleration and wheel revolution

    Homework Statement A wheel accelerates from rest to 59 rad/s at a rate of 29 rad/s². How many revolutions the wheel turned while accelerating?Homework EquationsThe Attempt at a Solution I'm confused, I suck at this kind of problem. I got change in angular velocity which would be 59rad/s, and...
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