Answered: Diameter D (SG < 1) Vo

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 buoyant ball of specific gravity SG < 1 dropped into
water at inlet velocity V₀ will penetrate a distance h and
then pop out again, as in Fig. Make a dynamic
analysis of this problem, assuming a constant drag coefficient,
and derive an expression for h as a function of
the system properties. How far will a 5-cm-diameter
ball with SG = 0.5 and CD ≈ 0.47 penetrate if it enters
at 10 m/s?

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