Area Definition and 1000 Threads

Hi all I was wondering if someone could help explain what the area under a load vs deflection curve tells you. I have a concrete sample which I loaded until it failed. I plotted the load (kN) and deflection (mm) as shown below. My question is; if the curve in red can be represented as a...

Homework Statement Homework Equations pV=nRT The Attempt at a Solution I know the volume of the cylinder, which is Al. So I plugged this into the ideal gas law formula, and got answer B. However, the correct answer should be D. I see the Boltzmann's constant there in the equation, and I do...

Homework Statement Let Rpq be a ray: .-------.----------------> p q draw a second ray Rpm s.t the angle <QPM has 60 degrees Let D be a disc centered at P and assume its area is 60 in^2. find the area of the sector in the disc cut out by the two rays Homework EquationsThe Attempt at a...

I was wondering what would happen if you shun light onto a super cooled area. Would it mean that the photon's energy would be absorbed and would not be re-emitted? Or put otherwise, can you cool an area to a point that it would absorb all light?

I drew a diagram in order to help figure out something for a tabletop game I'm putting together. My question is about the physics of materials, and is not directly about the fictitious psychic/magic abilities in my game world. I drew a diagram consisting of dots representing particles and...

I thought you guys might appreciate this. A lot of people notice that the derivative of area of a circle is the circle's circumference. This can be generalized to all regular polygons in a nice way.

So far i have. 12) area of full circle is πr² area of sector is (120/360)(πr²) or 12π 13) same area is (270/360)(πr²) Am i correct?

So far i have 270/360× (pi)r^ i don't know what to do next please help.

So I've been able to solve A.12 inch B.24 inch C.75.3982 D.452.389 Cant solve e. Arc length can anyone please explain the formula. Thank you

Side lengths are a=6, b=6, c=4. Find the area A=1/2*b*h I split the triangle in half to find the height. Since the base is 4, that divided the base into 2: 2^2+h^2=6^2 4+h^2=36 h^2=32 h=4*sqrt(2) =========== 1/2*4*4*sqrt(2)=area of 8*sqrt(2) Did I do this correctly? I do not have an...

Triangle ABC has area 25*sqrt(3). if Angle BAC=30 degrees, find |AC|=|BC|=? the answer I got was 10*4th root(3) Is this correct? I am asking because someone other than my professor wrote the study guid for us for the final and I am not 100% sure what |AC|=|BC| means as my professor never...

Homework Statement A particle moves periodically around an ellipse of equation ##\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1##. You can assume ##a>b##. The ##x## and ##y## components of the particle's velocity can never exceed ##v## at any point. What is the minimum possible period of the...

This is my first video!

Homework Statement What is the necessary area for a generator that produces an emf of ##\mathcal{E} = 150V## when it spins at a ratio of 60 revolutions per second, in a magnetic field of ##B = 0.5 T##? Homework Equations ##\oint_{c} E \cdot dl = \mathcal{E} = -\frac{d}{dt}\iint_{s} B \cdot dS...

Please see attached image. When we want to find the area under a curve, we can use the formula ##A = \int_a^b\left|g(x)-f(x)\right|dx## where g(x) is greater than f(x) and both are continuous over the closed interval ##[a,b]## My text, as seen in the picture, described the area under the curve...

Member warned to type the problem statement, not just post an image with type that is too small to read Homework Statement See attached. Homework EquationsThe Attempt at a Solution Ok so the first thing you want to do is find the equation of the tangent line which is done in the usual way to...

what is the area of triangle ABC in the attached? answer is 18 i can not construct any similar triangles here. all i can see is area of ACD is 3 times area of ABD but how does it help me...

Can anyone explain me the pattern that is obtained from selected area diffraction? What does it show? What are the dots? What are the rings? (example: http://www.microscopy.cz/html/images/2605_1_d0f65ce7_fig2.png) I know that during X-ray powder diffraction, radiation is shined at the powder at...

We all know that the area of a triangle having consecutive sides as ##\vec { a }## and ##\vec { b }## has the area ##\frac { 1 } { 2 } | \vec { a } \times \vec { b } |## but what is the direction of that area vector? I mean if we consider ##\vec { a } \times \vec { b }## that will be one...

Homework Statement A 30kg pallet falls from a height of 2m onto a protective cover. The cover has an area of 269m² and an overall thickness of 10.9mm. a. What is the force/pressure on the cover? b. What is the bending stress on the cover? Homework Equations F=ma bending stress =...

Hi all I was hoping someone could remove some doubt in my mind with regards to interpreting the Second Moment Of Area and Eulers formula for buckling. Am I correct in thinking that:- - The higher the Second Moment Of Area Value the more resistant to bending. - The lower the Second Moment Of...

Hi all I was hoping someone could help explain the difference between Young's Modulus and Second Moment of Area. I know that Young's modulus is a measure of how elastic a material is and is calculated by Stress/Strain. I know that the Second Moment of Area can be defined as a objects...

The question goes like: find the SA of the portion S of the cone z^2 =x^2 +y^2 where z>=0 contained within the cylinder y^2+z^2<=49 this is my attempt using the formula for SA, I could switch to parametric eqns, but even then I'd have hard time setting up limits of integration.

The original problem for anyone that can read Chinese: https://zerojudge.tw/ShowProblem?problemid=b221 The problem defines a convex polygon with multiple points located in the first quadrant and the required task is to find a linear function y = ax that can spilt the polygon into two parts each...

I need to increase the surface area of the glass which will be used in a solar still with the intention of keeping the glass as cool as possible. My first thought was bubble wrap because it's transparent and I thought it would not interfere with the light but then I remembered it is a good...

Using the theorems: Area of a triangle = (1/2)bh Area of a parallelogram = bh Area of a trapezoid = (1/2)h(b1+b2) Solve the following:

Hello I am doing a shaft design layout for a spindle to minimize deflection and I have to calculate the area moment of inertia for a shaft overhang.The shaft overhang is the distance from a bearing to the end of the shaft. Here is a picture detailing the location of the overhang. The black...

I am very new too Matlab and how it all works but I am having trouble understanding at what axis the numerical integration is occurring from on the graph that I plotted. So I am currently doing an experiment in gamma ray spectroscopy and due to issue with the software we found it hard to...

Homework Statement The Attempt at a Solution The above is my attempt after playing around with the question for about an hour. I don't seem to know how to eliminate either Δy or b in order to solve for m. Any help is much appreciated. Thanks in advance.

This isn't an asignment,more of a doubt which i could use help with.What exactly is the sturnal part of the rib. I didnt quite get that. Is it the part which contains coastal cartilage ? I saw quite a few diagrams in on the net and even read whatever is given on the Book "MTG:Objective...

Supposing it were possible to open a stable wormhole close to a planets surface, what could the effects to the immediate area outside the mouth of the wormhole be? Such as radiation, atmospheric anomalies, changes to the planets magnetic field, etc. Thank you for any assistance

If the length and width of a rectangle garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot? My Work: Here I am thinking geometry mixed with algebra. The area of a rectangle is found by using A = bh. A = (0.20)(0.20) Correct set up?

Hey! So we were doing double integrals in electricity and magnetism for vectors dA and A (for electric flux). I’m a little confused. Doing a double integral of vectors dx and dy gave an area (vector) dA and A. Thinking back to calc 1, when we had FUNCTIONS (not vectors) they gave the area...

Homework Statement Problem 16.39 [/B] The viscous force of a liquid in laminar flow through length L is given by ##F_v=4\pi\etaL v_m## where ##\eta## is liquid viscosity and ##v_m## is maximum velocity of the fluid. Find an expression for ##v_m## in terms of p1, p2 (pressure at each end) and...

So I've been working on Pythagorean stuff and it's pretty straight forward but then I got confused over something quite simple. It's a geometry question so I'll try my best to illustrate the question. So there's a triangle and we must evaluate whether it's a right angle. The lengths are not...

Homework Statement Find the area bounded by arcsinx, arccosx and the x axis. Hint-you don't need to integrate arcsinx and arccosx Homework Equations All pertaining to calculus The Attempt at a Solution I drew the correct graph and marked their intersection at (1/√2, pi/4) and painstakingly...

Homework Statement So this is a problem I've been facing while finding the area under some curves, for example finding the area bounded by sinx and cosx between pi/4 and 5pi/4. integrating sinx-cosx with these limits would result in the positive and negative areas cancelling out, how do I get...

Homework Statement The graph of ##y^2 + 2xy + 40 \mid x \mid =400## divides the plane into regions. The area of the bounded region is? Homework Equations All relevant to calculus The Attempt at a Solution My question is how to predict the graph without using a grapher here? I put x and y=0 to...

Consider Gabriel's Horn, the mathematical object formed by a surface of revolution of the curve x= 1/x from x=1 to infinity. It is known that one can fill the horn with a volume of Pi cubic units of paint but it would take an infinite amount to paint the surface. I think they usually mean the...

Jacob Bekenstein asserts that the entropy of a black hole is proportional to its area rather than its volume. Wow. After watching Leonard Susskind's video 'The World as a Hologram', it seems to me that he's implying that we are all black hole stuff. Perhaps we (our galaxies and their black...

Hello. I am wondering how I can find the area of a trapezoid from its two legs and bases. My problem: ABCD is a trapezium with AB parallel to CD such that AB = 5, BC = 3, CD = 10 and AD = 4. What is the area of ABCD? If we trace a straight line from A down parallel to the height of the...

Hello Guys, I have been pondering on the nature of the frictional force and its dependency on the area of contact for the past few days and I had already searched for plausible explanations for the same.Although I could gather a few discrete points ,I couldn't get a complete picture of it. Some...

I'm looking for an easy way to get the surface area of an arbitrary shaped 3D object. Getting the volume is easy by water displacement. What about area? Any neat tricks? We know different shapes can have the same volume and thus different surface areas so it's not a trivial problem. The purpose...

Homework Statement The flour of a rectangular room has dimensions 12 feet 16 feet. How many square tiles each with side of length 1 foot are needed to make a border of single row of tiles on the floor along the edges of the room? A 28 B 52 C 56 D 58Homework EquationsThe Attempt at a Solution...

. Homework Statement Let imagine you have gras field formed as a semi circle and you want to fence in that area. The fence is connected to a wall, so you only have to fence in the area formed by the semi-circle. You have to use 60 meters of fence bought at a hardware store. Homework...

Not really sure if this thread belongs here but I am supposed to figure out the radius of gyration, section modulus, and Q values at the neutral axis for this symmetric wing cross section. The only problem is that I am not even really sure how to find the area of the cross section. i know that...

Homework Statement Find the minimum value of the area of the region under the curve ## y=4x - x^3 ## from ##x=a## to ##x=a+1##, for all ##a>0##. This problem is from Stewart's Calculus Homework Equations Finding the area under the curve... The Attempt at a Solution I can set up the equation...

Homework Statement Find the area of a triangle, assume that you don't know the formula of area of any other figure. Homework EquationsThe Attempt at a Solution Well, i was trying to figure out how to find the area of a triangle out of nowhere, but could not get it. I want to know how it was...