# Flat Circular Disc Mass

A flat circular disc, of radius R, can be modeled as a thin disc of negligible thickness. It has a surface mass density function given by

f(r,phi)=k(1-(r^2)/R^2), where k is the surface density at the center and r is the distance from the center of the disc.

Using area integral in plane polar coordinates, calculate the total mass of the disc, in kg, when R=0.29m and k=25.02kgm^-2. Give your answer to 3 decimal places. Take pie as 3.142.

© BrainMass Inc. brainmass.com October 10, 2019, 3:46 am ad1c9bdddfhttps://brainmass.com/math/circles/flat-circular-disc-mass-434705

#### Solution Summary

The mass of the small area is determined is calculated.

$2.19