During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional analysis to estimate the wave speed of an atomic bomb explosion. He assumed that the blast wave radius Rwas a function of energy released E, air density p, and time t. Use dimensional reasoning to show how wave radius must vary with time.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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During World War II, Sir Geoffrey
Taylor, a British fluid dynamicist, used
dimensional analysis to estimate the
wave speed of an atomic bomb
explosion. He assumed that the blast
wave radius R was a function of
energy released E, air density p, and
time t. Use dimensional reasoning to
show how wave radius must vary with
time.
Transcribed Image Text:During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional analysis to estimate the wave speed of an atomic bomb explosion. He assumed that the blast wave radius R was a function of energy released E, air density p, and time t. Use dimensional reasoning to show how wave radius must vary with time.
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