Cone Definition and 490 Threads

Homework Statement Hi, this isn't a homework question, it's for a physics project! Consider the following diagram: I was wondering what the speed of the air would be at the point A (orange dotted line). The red rectangle is a packet of air of height 1m and width d. Presuming that...

Homework Statement "A conical surface (an empty ice-cream cone) carries a uniform surface charge \sigma. The height of the cone is h, as is the radius of the top. Find the potential at the centre of the top, taking infinity as reference point." - Griffiths My result for the potential...

1. The problem statement A truncated cone 30cm high is made of Aluminum. The dia at the top is 7.5cm, and 12.5cm at the bottom. The lower surface is maintained at 93 deg C, the upper surface at 540 deg C. the other surface is insulated. Assuming 1 dimensional heat flow, calculate the rate of...

Homework Statement Find the volume, see attachment Homework Equations I can't find the proper equation for this cone. The Attempt at a Solution he triangle is a 3, 4, 5 triangle. Is the typical cone equation of 1/3*PI*r^2*h used or a different equation?

A forward light-cone is a surface that defines a region from which light cannot escape. Similarly, a backward light-cone defines a region that light cannot enter. What distinguishes these from event horizons?

[SOLVED] Electric Potential of Uniformly Charged Cone I'm actually a senior in physics graduating this year, but wanted to review some E&M before grad school in the fall. I was apparently never assigned this problem during my sophomore year, but it's from Griffiths. I'm also aware that this has...

Hello I am solving some problems from "Intro to EM" by David Griffiths ( third edition) Problem 2.26 ( attached file 2.26.jpg) and I have also attached the solution from the solution manual (griffiths-2.26.jpg). For both part a and b I am getting different answer. I have chosen vertex as...

Homework Statement Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 5.00 inches at the top and a height of 7.00 inches. At the instant when the water in the container is 4.00 inches deep, the surface level is...

Given the cone, z^2=x^2+y^2 z<= 1 filled with water, find the work needed to flip the cone upside down. W = Fd Well, I figured I could integrate the force along the distance (0,1) by multiplying the distance from 0 times the cross section circle area times the density. That would...

Homework Statement Use a triple integral in rectangular coordinates to find the volume of the ice cream cone defined as follows The region R in the xy-plane is the circle of radius 1 with center at the origin. The sides of the cone are defined by the function z= \sqrt{x^2+y&2} The top of...

Here are two pages showing examples of the Cherenkov radiation: http://physics.syr.edu/hep/rich.html http://www.iss.infn.it/webg3/cebaf/hadron.html I don't understant why the cone is ahead of the particule path. I thought that the cone of light formed behing the particule path (like the...

Hi all! I was trying to figure out how to find the volume of a cone with radius R and height h using integration with cylindrical coordinates. I first tried to set the the integral as: \int_{0}^{2\pi}\int_{0}^{h}\int_{0}^{R}\rho d\rho dz d\phi ...but I think that this is setting up the...

I am looking for the formula to describe a spiral formed around a conical shape. If any particular details are needed, please make them variables and define them. Thanks to all for the help!

I am trying to measure a concrete structure to compute the surface area. I have included a sketch of the structure with the dimensions that I have measured. This is part of a drainage canal bank where two canals intersect. The banks along both canals are paved with concrete. I tried to...

Does the word cone more correctly refer to a surface (like the word sphere), or a solid (like the word ball); and if it refers to the surface, what would the solid be called?

Homework Statement My AP physics teacher asked us to do an experiment on anything that involves a paper cone for my physics class, and I'm trying to think of something creative/original to do. Homework Equations No particular equations. As long as it's AP (12th grade) level physics. The...

Homework Statement In England, you can purchase fish and chips for a reasonable price. The reason it is so reasonable is because they give you no silverware, nor a plate. They just roll up a piece of paper in a cone and toss your food in. The vendors need to roll the cone in a perfect...

A reservoir in the shape of an inverted cone has a radius of 2 meters at the top and a depth of 6 meters. Wine is poured into the reservoir at a rate of 1 m^3/sec. At what rate is the depth of the wine increasing when the depth is 4 meters? Help?

Hi All, I have a question about the agitator tank. What is the different between dish-bottom, flat-bottom and cone-bottom tank? Regards.

Homework Statement A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing into the tank at a rate of 10 cubic feet per minute, find the rate of change of the depth of the water when the water is 8 feet deep. The Attempt at a Solution First I...

Homework Statement Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. The height of the pile is increasing at a rate of ____ feet per minute when the pile is...

To calculate the centroid of a cone, it seems that you have to use calculus. It comes out to be h/4, where h is the height from the base of the cone. But intuitively I thought that the centroid would have been h/3 because that's a triangle's centroid, and the cone can be obtained by rotating a...

I was trying to understand Light cone but everytime i stuck somewhere or the other.Wiki has good description of it but can't provide enough information.Its a interesting subject ,i suggest going through it and obviously please help me out.

Homework Statement With two fingers, you hold an cone motionless, upside down. The mass of the cone is m, and the static coefficient u. The angle of the tip, when viewed from the side, is 2θ. What is the minimum normal force required to hold the cone up (with each finger)? And, in terms of u...

Homework Statement A particle of mass m moves on the inside surface of a smooth cone whose axis is vertical and whose half-angle is alpha . Find the period of small oscillations about a horizontal circular orbit a distance h above the vertex.Homework Equations Not sure. Lagrangian maybe F = ma...

I'm machining a component as a means of testing one of our companies new machines. The objective is to manufacture a cone of maximum possible volume. The volume of a cone is given by: pir2h/3. Given that h = 6 - r, how am i to calculate the maximum possible volume by means of integration...

What exactly is meant when people say that a Light Cone is "tilting"? I understand the general idea of a light cone when it comes to how it's used to represent light particles. However, I do not understand what is meant when one states that in Relativity, "Light cones cannot be tilted so that...

Hello. I am having some trouble with the following problem and would be thankful if any of you could help me out. Homework Statement Let C be the hyperbola formed by intersecting the cone x^2+y^2=z^2, z>0 with the plane x+y+z=1, and let \textbf{f}(x,y,z)=<0,0,1/z^2>. I am trying...

Homework Statement Determine the centroid of volume for a right circular cone with base diameter of 100mm and an altitude of 200mm. Homework Equations I know that if the my xy-plane is parallel to the base of the cylindrical cone then the x and y coordinates of the centroid must be...

Homework Statement Find the centroid of the solid bounded below by the cone z = \sqrt{3(x^2+y^2)} and bounded above the sphere x^2+y^2+z^2=36. Homework Equations Let G be the given solid and denote its volume by V_{G}=\int \int \int_{G} 1 dV. \frac{\bar{x}= \int \int \int_{G} x...

Homework Statement Approximate this hill to a smooth cone with an elliptical base. find its volume by integration Homework Equations n/a? The Attempt at a Solution This hill is from a contour map and i have approximated the formula for the ellipse and the height. i found the area...

My calculations show that until about 3.8 Gy ago (z ~ 1.7) the volume of space defined by our light cone had a high enough density to constitute a black hole, in the sense that 2GM > c2r. The further back in time, the more our light cone exceeded that threshold, because the density increases...

you are given a contour map of a hill from which you are to approximate a cone and hence find volume. each contour is an ellipse my question: does centreing the ellipses effect the volume. I am pretty sure it doesn't but i want to verify also. if i created 4 linear lines from the...

Wow, I should really know this but I can't think of it. Let's assume (totally assume, haha) that I have a flanged cone with a flow through it. The flange is of course going to have a reaction force on it based on the flow. I know that summing forces, I have forces at the inlet and outlet (pA)_1...

Homework Statement find the anverage heigh of z=sqrt(a^2-x^2-y^2) constricted by the cone x^2+y^2<=a^2 in the xy plane Homework Equations Average Height =(1/area)*double integral of region of [z]drdpheta The Attempt at a Solution I really have no idea how to solve this problem can...

Consider a cone's surface with its vertex subtending a right angle and its base removed. If its interior were silvered, how would an observer on the axis of symmetry appear in its reflection?

Homework Statement find the point closest to the origin on the curve of intersection of the plane 2y+4z=5 and the cone z^2=4x^2+4y^2 Homework Equations The Attempt at a Solution see 40 attachement. I found the used f(x,y,z)=x^2+y^2+z^2 and found its gradient. found ggrad and...

Homework Statement A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the...

Homework Statement when powder or granular solids are piled up. the powder forms a conical pile. the edge of the pile reaches a certain maximum angle with the horizontal, called the angle or repose. A) a pile of coal is found to have an angle of repose of 38% what is the relationship...

hi all, Ive been sitting up so late trying to work something out. If anyone could help that would be great. How do i calculate the height of a cone if the internal angle of the cone at the top vertex is 60degrees and the total volume for the cone is 2.0m3? this is just a example - if...

Find the volume of the portion of cone z^2 = x^2 + y^2 bounded by the planes z = 1 and z = 2 using spherical coordinates I am having trouble coming up with the limits Relevant equations dV = r^2*sin(theta)*dr*d(theta)*d(phi) r = sqrt(x^2+y^2+z^2) the problem is actually 2...

Homework Statement Write an evaluate a triple integral in spherical coordinates for the volume inside the cone z^2 = x^2 + y^2 between the planes z=1 and z=2. The answer is 7π/3 The Attempt at a Solution Substitute values to work out the limits. From z^2 = x^2 + y^2, substitute for...

Homework Statement "A solid cone is bounded by the surface \theta=\alpha in spherical polar coordinates and the surface z=a. Its mass density is p_0\cos(\theta). By evaluating a volume integral find the mass of the cone. Homework Equations The Attempt at a Solution I can't figure...

Find the volume of a frustum of a right circular cone with height h, lower base radius R, and top radius r. I don't want the answer. I want to know how to do this. My math teacher gave all of these problems for the class to do, but didn't explain anything. Are there equations that I can...

I want to build a porter governor to control the speed of a shaft via a varible dia double cone pulley. The speed range to be considered is b/w 250-750 rpm. I would like to know the equations involved. My textbook provides theoretical equations, I would be obliged if I could get the actual...

In the Venturi effect, in the reduction in pressure and increase velocity on the inside of the convergent cone, does the exit of the liquid on the divergent side mean the pressure that is increased (velocity decreased) can only increase to the maximum pressure that was achieved on the inside...

Just wondering about the shape of a light cone. On the attachment below, if I were standing at A and pointed a flashlight in the positive time direction, it would form the cone show, correct? Is this cone a perfect cone? For instance, if I were standing on the north pole and pointed a...

1. A right circulat cone of constant density (5kg per m^3) is 4 meters from the base to the tip. the diameter of the base is 6 m. find each of the following using inergrals A) Find the volume and mass of the cone B) find the center of mass of the cone C) find the moment of inertia of the...

An ellipse is a conic section. If you construct an ellipse using a cone, does the axis of the cone cross through one of the foci of the ellipse? if so, how can this be shown mathematically? This is just purely out of curiosity.

I have a cone filled with liqid with radius R and height H rotating with \omega. Where do we have to drill a hole that the water would spray to the maximum distance from the cone? I used the Bernoulli equation obtainig p_0+0.5 \rho {v_1}^2=p_0+0.5 \rho v^2 v is the speed at the hole...