Problem $2$

The following data were obtained in a resin burn$-$off test of an E$-$glass$-$polyester sample:

Weight of an empty crucible $=10\mathrm{.}1528g$

Weight of crucible $+$ sample before burn$-$off $=10\mathrm{.}5219g$

Weight of crucible $+$ sample after burn$-$off $=10\mathrm{.}3221g$

Calculate the fiber weight fraction, the fiber volume fraction, and the density of the composite sample.

Assume ${}_f=2\mathrm{.}54\frac{g}{c}{m}^3$ and ${}_m=1\mathrm{.}25\frac{g}{c}{m}^3$

Do you expect the calculated value to be higher or lower than the actual value? Please explain.