Only the best--help with this Ap phys/calc(?) problem.

It_sGr82BeAGator
Tue, 28 Aug 2007 15:49:47 +0000

This is not a related rates problem or calc at all. Just look at the chapter name!
Ok, to start with, the base area is 14 by 17 cm. I’m assuming that the height of candies will increase only if they occupy the base area first. Kinda like when filling a tank of water. Before the height of the water increases, the bottom part must be filled up first.
That being said, since the height increases only if the base area is filled up first, we can convert the rate shown. Instead if the height, we can convert to the volume of candies in the container, since the base area is uniform throughout the container.
So we multiply the height rate by the base area, .25 x 14 x 17, giving us
59.5 cm^3/s as the volume rate. We then convert the volume into mass, because each candy has a mass of .02g for every 50 mm^3. So we convert 59.5 cm^3/s to mm^3/s first, giving us 59500mm^3/s, then multiply by
.02g/50mm^3, giving us 23.8g/s
Finally, we convert to kg/min, which should be multiplied by 60 then divided by 1000, giving us 1.43kg/min