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The lateral area, L, of a circular cylinder, which need not be a right cylinder, is more generally given by =, where e is the length of an element and p is the perimeter of a right section of the cylinder. [9] This produces the previous formula for lateral area when the cylinder is a right circular cylinder.
Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.
Illustration of a cylinder. A right circular cylinder is a cylinder whose generatrices are perpendicular to the bases. Thus, in a right circular cylinder, the generatrix and the height have the same measurements. [1] It is also less often called a cylinder of revolution, because it can be obtained by rotating a rectangle of sides and around one ...
On the Sphere and Cylinder. On the Sphere and Cylinder (Greek: Περὶ σφαίρας καὶ κυλίνδρου) is a treatise that was published by Archimedes in two volumes c. 225 BCE. [1] It most notably details how to find the surface area of a sphere and the volume of the contained ball and the analogous values for a cylinder, and was ...
The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: [6] A = 4πr 2 (sphere), where r is the radius of the sphere.
List of moments of inertia. Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which determines an object's resistance to linear acceleration). The moments of inertia of a mass have units of dimension ML 2 ( [mass] × [length] 2).
Pyramids. Tetrahedron. Cone. Cylinder. Sphere. Ellipsoid. This is a list of volume formulas of basic shapes: [4]: 405–406. Cone – , where is the base 's radius. Cube – , where is the side's length;
In fluid dynamics, the drag equation is a formula used to calculate the force of drag experienced by an object due to movement through a fully enclosing fluid. The equation is: where. is the drag coefficient – a dimensionless coefficient related to the object's geometry and taking into account both skin friction and form drag.