Differential Equations - Acceleration and velocity models
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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Differential Equations - Acceleration and velocity models

Transcribed Image Text:12. Nuclear waste disposal It is proposed to dispose of nu-
clear wastes-in drums with weight W
ume 8 ft3-by dropping them into the ocean (vo = 0). The
force equation for a drum falling through water is
= 640 lb and vol-
|3D
dv
m
dt
-W + B + FR,
_
where the buoyant force B is equal to the weight (at 62.5
lb/ft³) of the volume of water displaced by the drum
(Archimedes' principle) and FR is the force of water resis-
tance, found empirically to be 1 lb for each foot
of the velocity of a drum. If the drums are likely to burst
upon an impact of more than 75 ft/s, what is the maximum
depth to which they can be dropped in the ocean without
likelihood of bursting?
per
second
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