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. G

    MHB Volume of a solid of revolution

    Consider the solid in three dimensions that is formed when the graph of a function $f(x)$, with $f(x) \ge  0$ for all $x \in [a, b]$, is revolved around the $x$-axis on the segment $x \in [a, b]$. Derive the following formula for the volume $V$ of this solid: $V = \pi\int_a^b f^2(x)dx$. Use...
  2. B

    A 210 word summary of the causes of the French Revolution

    Here is my 210 word summary of the causes of the French Revolution: The French government borrowed huge sums of money to pay for France's military support of the USA in the American Revolution. The government of France owed a huge financial debt to the French banks the French government...
  3. M

    Calc II - Disk vs Shell method different volumes

    So I'm getting ready for an exam on tuesday, and I'm using each method for volumes of revolutions for every problem but I'm not getting the same answers. So, let's use this as an example: y = 5x; the shaded region is from [1,2] Using the disk method (about the x-axis) I find: R(x) = 5x; r(x)...
  4. P

    Are there more flexible formulas for finding the area of surfaces of revolution?

    When I learned about volumes of solids of revolution, I never really memorized any formulas for specific cases per se. I used two expressions for area, either ##A = \pi (R^2 - r^2)## and ##A = 2\pi r h##. Those expressions worked for rotations about any horizontal/vertical axis (not necessarily...
  5. P

    Volumes of solids of revolution

    I have a few questions about finding volumes of solids of revolution (in a typical first year single variable calculus course). 1) I can rotate any region about any horizontal/vertical axis. How exactly do I rotate a region about a line that is neither horizontal nor vertical (##y = x - 1## for...
  6. B

    Volume of Solid of Revolution with Disk Method: y=5x^2, x=1, y=0 about x-axis

    I was wondering if anyone could help me with this. I'm stuck and not sure where to start/how to go about it and finding the integral as well... Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=5x^2,x=1,y=0, about the x-axis
  7. L

    Darn Volume of Revolution....

    Homework Statement The area under y = (x^2/9) + 1 from x = 0 to x = 3 , and the area enclosed by the y= 0 , y=2 , x=3 , and x=4, are rotated about the y-axis , and the solid generated represents a metal ash tray , the units being cm. Calculate the volume of a metal. Homework EquationsThe...
  8. L

    Volume of Revolution: Perpendicular Rectangles and the Axis of Rotation

    Homework Statement The area enclosed by y= 4/x^2 , y =1 and y =4 is rotated about the x-axis; find the volume generated. I am really confused I keep getting (14pi/3). But the answer in the back of the book is not that at all. An additional question, the only method I know is drawing a really...
  9. Tarpie

    Surface area of revolution about y

    Homework Statement [/B] Find the surface area obtained by rotating the curve y = x^2/4 - ln(x)/2 1 \leq x \leq 2 Homework Equations 2π \int f(x)\ \sqrt{1+(f'x)^2} dx The Attempt at a Solution I can't seem to isolate for x in terms of y. I raised both sides to e and separated the exponents...
  10. DiracPool

    Computer Revolution: Steve Wozniak and Steve Jobs' Legacy

    Ok, maybe I was inspired by the commercial on the Oscars tonight with Steve Wozniak, so please forgive me. Before I wax an opinion here, I'll start by establishing my street cred. I got my first Vic20 in 1982. I wrote a video game and an article that COMPUTE! magazine paid me $175 dollars...
  11. R

    Finding revolution time at surface

    Homework Statement For a 0.90km radius cylinder, find the time for one revolution if "gravity" at the surface is to be 9.8 m/s2. Homework Equations rω^2=a The Attempt at a Solution i tried solving for omega but i couldn't find a solution that i only had 1 variable in it.
  12. P

    Volume of Solid of Revolution Question

    Homework Statement Find the volume of the solid generated by revolving the described region about the given axis: The region enclosed above by the curve https://webwork.math.uga.edu/webwork2_files/tmp/equations/23/88cfb3fea3d8c8579f5a0608e8bd751.png, below by the...
  13. S

    Negative Volume of Revolution?

    There is a nice equation made by Nobuo Yamamoto which describes the curve of an egg and it is: (x^2 + y^2)^2 = ax^3 + (3/10)xy^2, where a is the length of the major axis of the egg. Solve this equation for y, we get: y=+/- sqrt((3/20)ax - x^2 + xsqrt((7/10)ax + (9/400)a^2)) When I rotate the...
  14. S

    Revolution of Planets: Rotation & Revolving Around Stars

    How do planets continuously rotate on their axis or revolve around stars ? Do the energy they consume for this continued motion gets expelled as heat ?
  15. R

    Time for Revolution (Rotating about the Center of Mass)

    Homework Statement Two men with masses 70 kg and 120 kg rotate at 1 rpm on a frictionless surface and are attached by a 15 m rope. If they pull the rope so that only 10 m is between them when they rotate, how long does it take to make 1 revolution? Homework Equations Angular Momentum and...
  16. RJLiberator

    Volumes of Revolution Question

    Homework Statement Let R be the region bounded by the curves y=0 and y=x^2+x between x=0 and x=1. Compute the volume of the solid of revolution obtained when R is rotated about the axis y=-1. Homework Equations Disc method: integral of pi*r^2 = volume from the bounds The Attempt at a Solution...
  17. S

    Doubt about Frame Dragging and planetary revolution

    Our sun rotates in counter clockwise direction and hence frame dragging will be also in that direction. Suppose if we put a satellite in sun's orbit (almost circular) to revolve in opposite direction to the sun's spin, what would happen to the orbit of the satellite? Would it fall into the sun?
  18. RJLiberator

    Volumes of Revolution with e^-x

    Homework Statement Compute the region R in the first quadrant between y=e^(-x), x=0, and y=0. Compute using shells, the volume V of solid around the y-axis. Homework Equations Volume =integral of bounds 2pi*radius*height The Attempt at a Solution First I drew the graph. This graph really is...
  19. M

    Measuring varied power per revolution of a bicycle crank/chainring

    A bicyclist applies varied force and velocity on their pedals as it goes around one revolution. The power distribution over one revolution is like two waves with the higher power being made on the downstrokes. The push through the bottom/top produces the lowest power. The question is does...
  20. Dethrone

    MHB Surface of revolution - y = (1/3)x^3

    Find the area of the surface of revolution $y=\frac{1}{3}x^3$ from $x=0$ to $3$, about the y-axis. $$S=\int_{0}^{9} 2 \pi x \sqrt{1+(\d{x}{y}})^2\,dy$$ $$=2\pi\int_{0}^{9} x \sqrt{1+\frac{1}{x^4}}\,dy$$ $$=2\pi\int_{0}^{9} \frac{1}{x}\sqrt{x^4+1}\,dy$$ $$=2\pi\int_{0}^{9}...
  21. Dethrone

    MHB Surface of revolution - Hypocycloid

    Find the area of the surface of revolution generated by revolving about the x-axis the hypocycloid $x = a \cos^3\left({\theta}\right)$, $y= a \sin^3\left({\theta}\right)$. I'm following the textbook example, and it says that "the required surface is generated by revolving the arc from $\theta...
  22. Dethrone

    MHB Solids of Revolution - Negative Volume

    I encountered a problem where the answer I got was negative. Calculate the volume bounded by $y=x^2-5x+6$, $y=0$, about y-axis. An easy question that is best done with the cylindrical shell method: $$V=2\pi \int_{2}^{3} x(x^2-5x+6)\,dx$$ $$V=\frac{-5\pi}{6}$$ I think I know why it's...
  23. I

    MHB Volumes of Solids of Revolution using Shells

    my final is tomorrow and my instructor gave a list of questions that will be similar to the ones on the final exam and i want to see how they should be done properly. I've been working on other problems but i can't get past these ones. thanks determine the volume using the shell method $y=5|x|$...
  24. hagobarcos

    Volume of a surface of revolution

    Homework Statement The top of a rubber band bushing is designed to absorb vibrations in an automobile is the surface of a revolution generated by revolving the curve z = (0.5y^2) + 2 for (0<= y <= 3) in the yz plane about the z axis. use the shell method to find its volume...
  25. A

    MHB Calculus II Volumes of Revolution and Basic Integration Questions

    Hey guys, I have a couple of questions about the problem set I'm doing at the moment. Although I was able to solve most of these, I'm doubting quite a few of my responses. http://i.share.pho.to/f7d7efe6_o.pnghttp://i.share.pho.to/82c05629_o.png http://i.share.pho.to/d6f76bb6_o.png...
  26. K

    MHB Volume of Solid of Revolution; Simpson's Rule

    1.find tthe volume solid generated by revolving the region bounded y=sqrt x and the ;lines y=1, x=4 about the line y=1 2. using simpson rule witj n=4 to aproximate int from 0 to 1 1 over 1-x power 2 dx
  27. D

    Calculating Volume of Revolution: Solving for Unknowns Using Equations

    https://www.physicsforums.com/attachments/69284Homework Statement i have done the part a, for b , i use the key in the (circled part equation ) into calculator .. my ans is also different form the ans given. is my concept correct by the way? Homework Equations The Attempt at a...
  28. M

    Surface area problem involving solids of revolution

    Homework Statement Evaluate the definite integral for the surface area generated by revolving the curve about the y-axis: Homework Equations Curve: y=9-x^2 about y-axis The Attempt at a Solution Attached
  29. A

    MHB Find the volume of the solid of revolution, or state that it does not exist. #2

    I'm having some trouble with this problem: Find the volume of the solid of revolution, or state that it does not exist. The region bounded by f(x)= 6(4-x)^(-1/3) and the x-axis on the interval [0,4) is revolved avout the y-axis. How would I be able to tell whether to use the shell, disk, or...
  30. A

    MHB Find the volume of the solid of revolution, or state that it does not exist.

    Find the volume of the solid of revolution, or state that it does not exist. The region bounded by f(x)= the square root of ((x+3)/(x^3)) and the x-axis on the interval [1,infinity) is revolved around the x-axis. I tried using the disk method: pi* (sqrt(((x+3)/(x^3)))^2 Then I think I have to...
  31. C

    Volumes of solids of revolution with infinity

    Homework Statement Consider the infinite region in the first quadrant between the curve y=e^-5x and the x-axis. Find area= 1/5 (got this part) Compute the volume of the solid generated by revolving the region about the x-axis: Compute the volume of the solid generated by revolving the...
  32. P

    Calculating Volume with Volumes of Revolution: Triangle Rotated about x = -2

    Homework Statement Calculate the volume obtained by rotating the triangle bounded by y = 0, y = x, and y = 2 - x, about the line x = -2. You may use either horizontal or vertical rectangles. The Attempt at a Solution So since this is a triangle, I tried to split up the volume down to...
  33. MarkFL

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

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  34. C

    Volume of Solid of Revolution for y=x^2-2, y=0 about y=-1

    Homework Statement Find the volume of the solid of revolution obtained by rotating the area bounded by the curves about the line indicated. y=x2-2, y=0 about y=-1. Need only consider part above y=-1 Homework Equations V=∏a∫b[f(x)]2dx The Attempt at a Solution I'm mainly unsure of...
  35. L

    Meridians and Circles of Latitude of a surface of revolution

    Homework Statement Find the meridians and circles of latitude of a surface of revolution ##X(t, \theta) = (r(t)cos(\theta), r(t)sin(\theta), z(t))##. Homework Equations The Attempt at a Solution I honestly just need a definition of what these concepts are. My book, as an aside for...
  36. MarkFL

    MHB Volume of Solid of Revolution about Oblique Axis - Kyle's Question

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  37. M

    Volumes of Solids of Revolution

    Question I'm really having issues grasping the Volumes of Solids of revolution. I could use some help solving this question, it isn't very hard. 1. Let R be the region bounded by y = x2 and y = x + 2. Find: a) the area of R b) the volume of the solid if R is rotated about the...
  38. MarkFL

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

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  39. S

    Help with solid of revolution volume question

    Homework Statement The problem is attached in this post. Homework Equations The problem is attached in this post. The Attempt at a Solution I used washer method and set my outer radius as 2+2+√(x-1) and my inner radius as 2. I set my upper limit as 5 and my lower limit as 2...
  40. S

    Help with solid of revolution volume question

    Homework Statement The problem is attached in this post. Homework Equations The problem is attached in this post. The Attempt at a Solution I used shell's method and set up my integral as 2π∫(4-x)(x^2)dx, from -2 to 2 and got an answer of 128π/3 which is incorrect. The actual answer is...
  41. MarkFL

    MHB Calculate Volume of Solid of Revolution for y=sinx to y=cosx around y=2

    Here is the question: I have posted a link there to this thread to the OP can view my work.
  42. L

    Perpetual Motion From Satellite Revolution

    "Perpetual Motion" From Satellite Revolution This is going to sound very far fetched, and I know very little about the laws of physics, admittedly (I don't even know if I'm posting this in the right area), but curiosity compels me. I was wondering if it would be possible to harvest energy...
  43. S

    Help with yet another solid of revolution question

    Homework Statement See the attached problem. Homework Equations See the attached problem. The Attempt at a Solution I used washer method and got an inner radius of x=y^2 and an outer radius of x=y+2, I calculated my upper limit as being 4 and my lower limit as being 0. The answer is 72π/5...
  44. S

    Help with volume of revolution question

    Homework Statement Find the volume obtained by rotating the region between the graph of y=0.5(sin(x^2)^2) and the x-axis (from 0 to squareroot pi) about the y-axis. The answer pi^2/4, but I don't understand how to get the answer, I can set up the integral but can't simplify it to that...
  45. C

    Integral Calc: Volume of 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 y-axis. 2. The attempt at a solution v=∏ ∫ from 0 to 1 of (y-y^3)^2 dy and doing this, I got the answer to be 8∏/105. Did I set up that integral...
  46. MarkFL

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

    Here is the question: I have posted a link there to this thread so the OP can view my work.
  47. C

    Revolution about horizontal and vertical lines

    Homework Statement Use shell method to find volume. y=x+2 y=x^2 rotate about the x-axis 2. The attempt at a solution I cannot seem to solve this. I thought this was the way to solve it, but I don't understand if I am missing something crucial. This is how I set up the...
  48. Greg Bernhardt

    Online education revolution needs fixing

    The Online Education Revolution Drifts Off Course http://www.npr.org/2013/12/31/258420151/the-online-education-revolution-drifts-off-course
  49. J

    What is the angular speed in revolution per minute?

    Homework Statement You are consulting for an amusement park that wants to build a new "Rotor" ride. In order to increase capacity, they would like to build a unit with a 14.2-ft diameter. The Rotor should provide a centripetal acceleration of 3g. What must be the angular speed in revolutions...
  50. MarkFL

    MHB Emily's questions at Yahoo Answers regarding a solid of revolution

    Here is the question: I have posted a link there to this thread so the OP can see my work.
Back
Top