Summation of Accumulative Physical Quantity 1 Draft for Information Only
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Average of Accumulative Physical Quantity
Average of Accumulative Physical QuantityIn general, a weighted average of accumulative physical quantity can be determined by integration if the physical quantity can be expressed as a function of the interested weighting and quantified in the form of infinitesimal elements. Besides the centroid of a curve, the centroid of an area can also determined by integration also. Centrod of an AreaFor an flat houmogeneous plate with uniform thickness, the centroid of the plate depends on its shape and the centroid is reduced to Centroid of a Triangular areaFor a triangular area with base b and height h, the moment along x axis direction is zero about the median, imply mean x lies on the median. For mean y is Centroid of a Semicircular AreaFor a semicircular area, due to symmetry about y axis,the centroid lies on the y axis. Imply mean y is Centroid of a Quarter-circular areaFor a quarter-circular area, the centroid is symmetry about the angle bisector, the moments about x axis and y axis are the same. imply mean x equal to mean y and is equal to Centroid of a circular arc areaFor a circular arc area, the centroid is symmetry about the angle bisector, x axis. The moments about x axis is zero, imply mean y is zero. The determination of mean x can make use of the moment of a circular arc wire. Imply mean x is ©sideway ID: 120100012 Last Updated: 1/10/2012 Revision: 0 Ref: References
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