A disk of radius 5 cm has density of 10 gm/cm^3 at its center, density of 0 at its edge and the function of its density is linear function of the distance from the center. Find the mass of the disk.
Would my function be (10 - r) r dr dtheta?
I am going from 0 to 2pi and from -5 to 5 Is this correct?
THanks again for all the help this site's members have given to me. Frostking
The integrand is correct
However, the limits for r are 0 to 5.
To sweep out the disk r varies from the origin to the edge and then as theta varies from o to 2pi the entire disk is swept out.
A technical point
since you are regartding the thickness as negligible the density
shoud be 10gm/cm^2 otherwise you final result would be in gms/cm obviously not what you want
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