Sphere mass calculator
[PDF File]Millikan’s Experiment - Mr. Smith's Website
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1. Calculate the charge on a small sphere with an excess of 5 x 1014 electrons. 2. In a Millikan type experiment, two horizontal plates are 2.5 cm apart. A latex sphere of mass 1.5 x 10-15 kg remains stationary when the potential difference between the plates is 460 V, with the upper plate positive. a) Is the sphere charged negatively or ...
[PDF File]Geodesic Domes - Math circle
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calculator that does many of the calculations for you. 2 Engineering Considerations A sphere is the mathematical object that contains the maximum volume compared to its surface area, so if a structure of large volume is to be constructed for minimum cost, it makes sense to look at structures whose shape approaches a sphere.
[PDF File]V9. Surface Integrals - Massachusetts Institute of Technology
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2. Flux through a cylinder and sphere. We now show how to calculate the flux integral, beginning with two surfaces where n and dS are easy to calculate — the cylinder and the sphere. Example 1. Find the flux of F = zi +xj +yk outward through the portion of the cylinder x2 +y2 = a2 in the first octant and below the plane z = h. Solution.
[PDF File]9702 04 specimen - XtremePapers
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uniform sphere. Fig. 1.1 (ii) A second sphere has the same mass but a smaller radius. Suggest what difference, if any, there is between the patterns of field lines for the two spheres. [3] (b) The Earth may be considered to be a uniform sphere of radius 6380km with its mass of 5.98 × 1024 kg concentrated at its centre, as illustrated in Fig. 1.2.
[PDF File]Calculation of Added Mass for Underwater Vehicles Based on FVM
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(1) The added mass coefficient of R=1 sphere in unbounded flow fieldof the tetrahedron grid Tetrahedron grid (Fig.3) and tetrahedron/prism hybrid grid (Fig.4) of R=1 sphere are generated by ICEM. For tetrahedron grid, there are 281261 tetrahedral elements and 6514 triangular elements on the sphere surface.
[PDF File]Geophysics 224 B2. Gravity anomalies of some simple shapes B2.1 Buried ...
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B2.1 Buried sphere Gravity measurements are made on a surface profile across a buried sphere. The sphere has an excess mass MS and the centre is at a depth z. At a distance x, the vertical component of g is given by 2 3 x z 2 2 ( ) GM z g S z + = This curve is drawn below for a sphere with: Radius, a = 50 m Depth, z = 100 m
[PDF File]SOLUTIONS TO ASSIGNMENT #10, Math 253 - University of British Columbia
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SOLUTIONS TO ASSIGNMENT #10, Math 253 1. Compute the total mass of the solid which is inside the sphere x2 + y2 + z2 = a2 and outside the sphere x2+y2+z2 = b2 if the density is given by ˆ(x;y;z)= c p x 2+ y + z Here a;b;care positive constants and 0
[PDF File]Newton’s Shell Theorem - Kansas State University
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outside a spherical shell having total mass Mis the same as if the entire mass M is concentrated at its center (center of mass). Secondly, it says that for the same sphere the gravitational eld inside the spherical shell is identically 0. Proving Newton’s Shell Theorem is the primary objective of this essay.
[PDF File]Shape Analysis & Measurement - Purdue University
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object approaches the shape of a “sphere”. – For a circle, the value is the maximum of 1.0 sphericity inscribing circumscribing R R = 33 Convexity • Convexity is the relative amount that an object differs from a convex object. – A measure of convexity can be obtained by
[PDF File]Simple calculation of the critical mass for highly enriched uranium and ...
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time. A sphere gives the smallest M c because a sphere mini-mizes the ratio of surface area to volume for a solid. “Bare” critical mass indicates that there is no neutron reflector; such a component reflects neutrons that would otherwise escape from the sphere back into its interior. The “critical radius” R c is the radius of the ...
[PDF File]Cylindrical and Spherical Coordinates - UCLA Mathematics
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The coordinates of the center of mass of Ware then given by dividing by the total mass: x CM = M yz M; y CM = M xz M; z CM = M xy M: Example. Let Rbe the region in R2 bounded by the unit circle and satisfying y jxj, and assume that Rhas uniform mass density (x;y) = 1. Find the center of mass of R.
[PDF File]Mass Transfer Between a Sphere and an Unbounded Fluid - Clarkson
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component sphere, dissolves in a liquid or sublimes into a gas, we can construct a simple model of the diffusive transport that occurs between the object and the surrounding fluid. The model can help us calculate the rate of mass transfer, and eventually the rate of change of the radius of the sphere with time. Assumptions . 1.
[PDF File]CH351 Mass Transfer 21Sep07
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• For evaporation from surface of a sphere, we obtained: • kD/D AB is a dimensionless quantity that often appears in mass transfer calculations. • It is called the Sherwood number and is denoted by Sh. • For diffusion from surface of a sphere into a stagnant fluid, Sh = 2 2 2 ( sphere diameter) AB AB AB = ⋅ ∴ = = = D k D D D D R D k
[PDF File]Radiative Gas Dynamics Problem Set 2: Isothermal Spheres Part I, due ...
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is a solution to this equation. Equation (3) is the density pro le of a singular isothermal sphere. (c) Consider a singular isothermal sphere of temperature T and particle mass m (i.e., m = mp for hydrogen). Assume that the sphere has a nite total mass M because it is truncated at radius R
[PDF File]0.1 Derivation of Added Mass around a Sphere
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force equals mass times acceleration, we can think of the additional force in terms of an imaginary added mass of the object in the uid. One can derive the added mass of an object by considering the hydrodynamic force acting on it as it accelerates. Consider a sphere of radius, R, acceler-ating at rate @U=@t= U_ . We nd the hydrodynamic
[PDF File]Simple Calculation of the Critical Mass
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time. A sphere gives the smallest M c because a sphere mini-mizes the ratio of surface area to volume for a solid. “Bare” critical mass indicates that there is no neutron reflector; such a component reflects neutrons that would otherwise escape from the sphere back into its interior. The “critical radius” R c is the radius of the ...
[PDF File]Added Mass - Massachusetts Institute of Technology
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and the added mass matrix [ma] as mij where ij, =1, 2,3, 4,5,6 . (6.13) A good way to think of the added mass components,mij, is to think of each term as mass associated with a force on the body in the ith direction due to a unit acceleration in the jth direction. For symmetric geometries the added mass tensor simplifies significantly. For example,
[PDF File]drag d Object Impact on the Free Surface and Added Mass Effect 1
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A typical mass-spring-dashpot system can be described by the following equation: ! mú x ú +bx ú +kx=f(t) (1.5) where m is the system mass, b is the linear damping coefficient, k is the spring coefficient, f(t) is a driving force acting on the mass, and x is the displacement of the mass. The natural frequency ω of the system is simply k m ...
[PDF File]Mass transfer .th
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Mass transfer Problem Determine the rate at which hydrogen will diffuse through a 4 cm thick steel plate having a face area of 2 m2 at a temperature of 400 K. The concentration of hydrogen at the two faces of the plate is 0.10 and 0.01
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