What is Shape: Definition and 636 Discussions

A shape or figure is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type.
A plane shape, two-dimensional shape, or 2D shape (plane figure, two-dimensional figure, or 2D figure) is constrained to lie on a plane, in contrast to solid figures.

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  1. G

    Determining the surface area on a 5 sided lunar esque shape

    Homework Statement I'm trying to figure out the surface area on a 5 sided shape where the sides can all be modeled by "lunes". The shape will end up looking like a banana peel. We are modeling the sides of the shape as lunes with varying angles on a sphere of radius 3 inches. I'm trying to...
  2. D

    I Calculating Flux through shape on irregular plane in 3-Space

    I'm not sure if I should be posting here of all places but it's worth a shot. I just had my unit test and there was a pretty weird problem on it where there was a circle of radius r in 3space on the plane of ax+by+cz=d and you were given the circle's center (C1,C2,C3). To be clear, I was given...
  3. physea

    I Does buoyancy depend on shape and volume?

    If buoyancy is due to the pressure differential as we go deeper in a liquid, then that pressure differential should depend on the vertical dimension of the immersed object. Eg. if we have a long cylinder vertically placed, the pressure differential between its top surface and its bottom surface...
  4. Idyia

    B Why doesn't the flux through a Gaussian surface change with a change in shape?

    Why doesn't the flux through a Gaussian surface change, when the shape is changed? (while keeping the net charge inside it the same) Flux is the dot product of electric field and surface area, so wouldn't it change if surface area is changed?
  5. aboutammam

    A About diagonalisation of shape operators

    Dear fiends, I have a question if it possible, Given a submanifold Mⁿ of codimensioon p in a riemannian manifold N^{n+p}. Let (e₁,...,e_{p}) an orthonormal basis of the notmal vector space of Mⁿ in M^{n+p}. For every e_{i} we can define the shape opeator A_{e_{i}} of the second...
  6. C

    Two coils of wire with the same size and shape

    Homework Statement Two coils of wire that have same shape and dimensions are thickly rolled up so that the coincide, they only differ in number of coils (windings) N1 for the firs one and N2 for the second one (N1<N2). When there's constant current in the first one and there's no current in the...
  7. R

    I The observable Universe and its shape

    Laymen here. 1. From my understanding the universe is like the surface of a balloon. The universe is expanding as a balloon grows when air in being placed inside of it. Just like a surface of a balloon if you go in any direction in a straight line you will come back to the original point. Is...
  8. M

    How do I estimate stress in a non-prismatic shape?

    Homework Statement In a mathematics-based investigation, I am trying to estimate the stress through a voussoir (member) of an arch bridge. However, these members have non-uniform cross-sections. I don't need to know how to exactly calculate the stress in each part of the member, only the total...
  9. T

    Working Out Shaft Torque in a Stirred Tank with a Cylindrical Shape

    Here is some background to the problem (in a stirred tank): "With yield stress non-Newtonian (viscoplastic) fluids, it is possible to generate an agitated volume around the impeller, defined as a cavern, surrounded by a stagnant region where the shear stress is insufficient to overcome the...
  10. Berenices

    I How to Define a Shape Based on Variables

    Hello all, I am not too experienced with geometry. I am just curious whether it would be possible to define a shape based on variables. Say you have a simple relationship between volume and some variables. V=x+y. This tells you about the volume of a 3D object, however, it does not describe the...
  11. Abdul Wali

    What sensor to choose to find the shape of current

    I want to choose a sensor which can sense the current flowing from the electricity meter of the residential houses, the sensor should be able to sense the shape of electrical signal each second that how it looks like. can some one help me with that ?
  12. C

    B What is the shape and orientation os the Higgs field?

    Greetings, Other fields are curved around particles and objects. The Higgs field permeates all of space. What is the shape of the Higgs field lines? Is it parallel lines? Or a grid of perpendicular lines? Is it curved? What is the orientation? What determined the orientation? Thanks
  13. Ben Wilson

    MATLAB Fourier transform of a 2D shape

    I have a function of 2 variables [f(x,y)] where if there was an ellipse in the x-y plane, all values of the function are 1 inside the ellipse and 0 outside. I can plot this function as a surface in 3d where it looks like an elevated ellipse hovering over an elliptical hole in a sheet. My...
  14. W

    Calculate sailing ship drag, or anyway any drag of any shape

    Hello there, I'm trying to write a sailing model simulator (for ships with sails) i got buoyancy force and gravity force calculated so far. Before i go any further i need to tell you how i am calculating anything, and what is my ship exactly. First of all i am making that on a phone, it looks...
  15. Spinnor

    I Shape defined by x∈ℂ^3 and x⋅x = 0.

    Shape defined by x∈ℂ^3 and x⋅x = 0. From, http://www.sjsu.edu/faculty/watkins/spinor.htm "The concept of spinor is now important in theoretical physics but it is a difficult topic to gain acquaintance with. Spinors were defined by Elie Cartan, the French mathematician, in terms of three...
  16. Thomas Kundera

    Computing the shape of the Earth as seen by a camera

    AS: If this is not the right place to ask this question, please let me know where I could try. Thanks. AS: I had to validate the fact I used the template to post my assignment, however I didn't (but it wouldn't post otherwise - btw it's not an "assignment"). Hello everyone. I need help with a...
  17. Amine_prince

    What's the actual shape of the upper dimensions?

    first i would like to ask a question .. imagine there are 2 dimensional creatures that are able to live and interact . they can exist in the second dimension with no problems . can the surface of a sphere precieved as a valid 2 dimensional space that these creatures can exist in ?( if yes then...
  18. DiracPool

    Gravitational Wave Shapes: 3D Oscillations, Creepy Earthworms & More

    We've seen the peculiar oscillating shape of the "squeeze-stretch" effect that a gravitational wave (GW) imparts on space and matter. What I am unsure of, however, is how does this wave manifest itself in three dimensions, as well as a few other questions.. 1) Does it spread out spherically...
  19. CivilSigma

    What does it mean to find the centroid of a shape?

    Hello, I am currently studying how to find the centroid of shapes. And I understand that to find the location of the centroid, we must analyze the distribution of the mass over the x and y-axis (i.e calculating Qx and Qy). However what baffles me is that, given an L shaped beam, the centroid...
  20. Y

    Would a gun with this barrel shape generate less recoil?

    I was wondering whether the following gun barrel shape would generate less recoil. Imagine that we have a bunch of L-shaped pipes which are closed on their long end and open on their short end. Take 4 of these pipes, and join them up along their short parts so that they form a plus-sign shape...
  21. N

    What Is the Shape of This Lamp?

    can you tell me what shape this lamp is? like hexagon... many thanks for your help!
  22. Z

    Is the coil the only viable shape for an electric engine ?

    Hi, I'm an hobbyist right now I'm into electric engines, simple engines for low voltage and low current applications; I have noticed that there are many variations about how and what an electric engine can do even considering only DC motors, but basically all the engines that I have examined up...
  23. Helios

    Can the Universe Transition from Finite to Infinite?

    I want to get this simplest cosmology question asked once and for all because I don't get it. We have "cosmologicial models" which have the curvature of the universe going from positive to negative ( or maybe visa-versa ) at some stage ( or not? ). Now elsewhere we hear that a negatively curved...
  24. Fuinne

    Shape of Space-Time: Warping Explained

    It space time is able to be warped, what is the shape of it? If it doesn't have a physical shape how can it be warped?
  25. T

    Light cone shape while speeding up

    Hello I searched a lot but I am not sure if I understood correctly the change in the shape of light cone while speeding up. I am aware that the x and ct axis are getting closer to each other like scissors while you speed up as the graph below shows, both symmetricaly approaching the ct=x or v=c...
  26. B

    Shape of quark matter bubble in a magnetized neutron star

    If a bubble of quark type matter formed near the core of a magnetized neutron star, what would happen to its shape? Would it elongate along the magnetic field lines? Could it burst out of the magnetic poles of the star?
  27. Demystifier

    How to make a wanted shape from a raw material?

    I know almost nothing about engineering, so my question is very basic. Basically, assuming that I have a scheme for a prototype of something, how do make it from a raw material? If it is still not clear what do I ask, let me further simplify. Suppose that I want to make a well-shaped iron ball -...
  28. gracy

    Equivalent capacitance:pentagon shape

    Homework Statement Five capacitors ,each of capacitance value C are connected as shown in the figure.The ratio of capacitance between P and R,and the capacitance between P and Q is Homework Equations For Equivalent Capacitance in series ##\frac{1}{C}##=##\frac{1}{C_1}##+##\frac{1}{C_2}##...
  29. Y

    What is the most aerodynamic shape for minimizing air resistance?

    I mean aerodynamic as in least air resistance. Just curious.
  30. F

    Wing Shape: Why is Bottom Flatter Than Top?

    Hello everyone! I wanted to ask: Why is it (usually) that the bottom of a wing is flatter than the top? A detailed reason would be appreciated. Thank you!
  31. ollien

    Why does pressure not depend on the shape of the container?

    Hey there. I'm trying having a bit of trouble wrapping my head around this. Homework Statement That pressure is equal at all the same height no matter the shape of the container. Homework Equations P = \frac{F}{A} P = ρgh The Attempt at a Solution I'm trying to understand this from my...
  32. DustinSmith

    Calculating nozzle shape for melting hot glue

    I am building a nozzle for my hot glue gun, and it has made me realize that my math skills have become quite rusty. My goal is to figure out how fast I can extrude a hot glue stick through nozzle of different lengths. My assumption is that the longer the nozzle is (assuming I keep it at...
  33. B

    Plate mode shape subjected to damage

    Hello Peeps~ I have couple of questions related to vibration and I would really appreciate some help from you experts out there. Anyways, say I have a metal plate with mode shapes observed at 100 Hz and 300 Hz as shown in the below figures. If I were to chip(cut) off a small part of the...
  34. T

    Is Drag Coefficient Constant for same shape, different size?

    I've read that drag coefficient depends on the shape of the object but I am confused as to what shape means. Does it mean geometric shape or is area included in that? Say I have one sphere of radius r and keep fluid velocity, density, and viscosity constant and find its drag coefficient. Would...
  35. E

    Shape Detection and Recognition

    How can I detect shapes in an image using an algorithm? I have heard of using edge detection and from there the shapes can be identified, but how? Also, edge detection only is effective if the shape has a high difference of contrast from its surrounding area, what would be an effective technique...
  36. MathematicalPhysicist

    Replacing the shape of the track of accelerator particles

    From what I can recall the shape of tracks of particle accelerator is circular. Is it possible to change this circular shape in future particle acclerators, to shapes like some knots (with more than one crossing)? to gain more distance in less space, I don't know how construct it, but it's a...
  37. J-dizzal

    Centroid of a uniform shape, using area

    Homework Statement Find the coordinates of the centroid of the uniform area. Homework Equations equations for centroid coordinates at the top of my paper. The Attempt at a Solution
  38. Dvorak

    Are Di-Atomic Molecules spherical?

    It is usually said that molecules are spherical in shape, that is what we learn from our textbooks. May be what they are saying is true but only in the case of a monatomic molecule. If one considers a diatomic molecule there are two atoms that means two spheres and if it is polyatomic there is...
  39. hbj

    Which Cup Shape is More Prone to Spilling?

    If you have 2 coffee cups of equal volume and composition, if one is a shaped like a sector of a cylinder and the other is shaped with a more tapered bowl shape, which is more likely to spill?
  40. I

    Perceived Shape of the Earth's Horizon

    I have read that airplane pilots can first perceive the curvature of the Earth's horizon at an altitude of about 35,000 ft. (The horizon would be 230 miles away.) Precisely, what is the shape they see? I don't think it's an arc of a circle because of the angle of observation. Is it part of an...
  41. S

    Find the Right Shape for Maximum Surface Area

    Homework Statement Imagine having a rectangle with horizontal sides ##x## and vertical sides ##y##. The surface of that rectangle is than ##S=xy##. Now imagine the sides ##y## are rigid - they don't bend nor do they change their length, while the ##x## sides is some kind of cloth and is easily...
  42. S

    What is the optimal shape of a membrane on a rectangle under pressure?

    Homework Statement This is not a homework or anything similar, but it is a problem I am trying to solve and I don't know how to start. I do know, that the most stable structure in 3D is a sphere - that is the reason why the drops are in a spherical shape. But now imagine a rectangle and...
  43. B

    Shape Memory Alloy: 2+ Remembered Shapes?

    Are there any material that allows 2 plus remembered shapes that is similar to shape memory alloy?
  44. Superposed_Cat

    How to draw a rectangles around a shape

    Hey all, as you can see in the below images i have an image that contains many shapes, all black and white. I need each shapes to have a rectangle drawn around it.In image pf1.png it illustrates the shapes before being fenced in red rectangles, pf2.png shows the shapes after being rectangled. I...
  45. C

    Filter shape from poles and zeros

    Hey guys, I am learning about the filter shapes deduced from the poles and zero plots, however a lot of sources are describing it differently with no logical explanation. I want to know what exactly the poles and zeros do between the range Ω = 0 and Ω = π. One source i read explains if the pole...
  46. Carnal

    What is the next shape in the series?

    I've been staring at this for hours but I do not get how the pattern works at all. The problem is from this website. It's not that I'm an idiot, I think there's something wrong with the pattern!
  47. tswanson4444

    Calculating drag coefficient for complex shape

    Me and a friend at school are doing an honors project for a Computer Science class. We're trying to find the aerodynamic drag coefficient of complicated 3D Shapes entirely virtual. We started out the project with a specific physics engine in mind. It turned out this engine "Bullet Physics"...
  48. SurajBahuguna

    How to determine shape of surface of a fluid?

    I have been told by my teacher that the surface of a fluid is always perpendicular to the net force acting on it. The reason being a fluid can not withstand tangential stress and if a shear stress is applied to it, it will slip until the surface becomes perendicular to the net force. So my...
  49. Jason Chen

    Shape of vortex electric field line in a rectangular metal

    We know that,the shape of electric field line in a cylinder under varying magnetic field is circle,and I wonder,what's the situation if it is a piece of metal with rectangular cross section? I think it might be something like superellipses.Can somebody tell me is it true or how to treat this...
  50. E

    How to know the shape of a specific location on Earth?

    How do you know the shape (land altitude, roughness, etc.) of a specific location on Earth through a satellite? For example, if a specific place is covered by clouds is there a way to know the shape of the ground at this specific point? I have read through the absorption spectra of the...
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