A food processor consists of an upper "storage tank" and lower "collection bin". The upper chamber has a diameter D and contains unprocessed food which has a constant density PA. The processed food with constant density pF falls into the collection bin, which has a diameter d. Using a closed system consisting of only the unprocessed and processed food, find an expression for the time rate of change of the height of the processed food in the collection bin, dh/dt. Use symbols only - express the answer in terms of PA, PF, D, d, H, and h. You may assume that the mass of the falling food is negligible and that the food is tightly packed in the storage tank and collection bin (i.e., there is no empty space to worry about). Processed food, P D h Unprocessed food, PA Falling food

A food processor consists of an upper "storage tank" and lower "collection bin". The upper chamber has a diameter D and contains unprocessed food which has a constant density PA. The processed food with constant density pF falls into the collection bin, which has a diameter d. Using a closed system consisting of only the unprocessed and processed food, find an expression for the time rate of change of the height of the processed food in the collection bin, dh/dt. Use symbols only - express the answer in terms of PA, PF, D, d, H, and h. You may assume that the mass of the falling food is negligible and that the food is tightly packed in the storage tank and collection bin (i.e., there is no empty space to worry about). Processed food, P D h Unprocessed food, PA Falling food

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A food processor consists of an upper "storage tank" and lower "collection bin". The upper chamber has a
diameter D and contains unprocessed food which has
a constant density PA. The processed food with
constant density pF falls into the collection bin, which
has a diameter d.
Using a closed system consisting of only the
unprocessed and processed food, find an expression
for the time rate of change of the height of the
processed food in the collection bin, dh/dt. Use
symbols only - express the answer in terms of PA, PF,
D, d, H, and h.
You may assume that the mass of the falling food is
negligible and that the food is tightly packed in the
storage tank and collection bin (i.e., there is no empty
space to worry about).
Processed food, PF
h
Unprocessed food, PA
H
Falling food

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