class23lecnotes

class23lecnotes - Class 23, Friday, March 5, 2010 Reading:...

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Unformatted text preview: Class 23, Friday, March 5, 2010 Reading: It,! I 30, / ) 3.P. 'L Review from last class: -lIfc)tqh'c. ~trl!y"nul;rr: /Jr =- 2. L {... n;\ - I ~ ... (2n-fl)J. <,=.) L::. rLt IIY (,In/~'yl ~t;'/t/u(te 2.. L: On-fl) f /or klyz, .Ilv t ~/;I' jwe.." n ~ (), I, lJ .... tJJ1-:::. tJL/(;4/2.). q;:~,. t/ /J'WXf-IM1't(-(;/,(~x ~ " .(JL ottlUf)L il1. L - ':!t~ ~() Vl /uti I' et:J IfMh r ; tJr:::: L,2 -i/ .: /l.-L z .{jr~ L1. - L,.::. (.217-f1)1 PiJnrr/l'Vl L111 _ tJ L 2. /.J t..)...' d,t tu- J' tM L 2. - 'X12.. dn .' ~Y'; /I'UtR~ tAM 'J-t -fAA iliK fk,lh - ~1f4t'# fqY' /M{J~7 #/.;111,,-(1' 4 ?J4~IA~(;rCl': loufa f'( Ct~ f~ jrlJiM.. "lft'YWr d ~"f.Ij What happens if vs=vw? , , , ~_~~~I.----'~----f"---:'----- _J. __ . - -- .-----.--~-....,-------j~ --(--- ... :-----.~---.-:--.--~- ..--.-.~--"'~- .... ~; : ! ( i : 1 ;--~2:-~--g?~:i;_=)~:f ---l--t-- -,.-~~-- i --t-----t. , I 13 .Iu~rJ 1~U4tJ. '/ /;~r ~ A does not hear anything until the source arrives at A. At that moment, it will hear a strong sound at once. For It'things are less dramatic. It just hears sound of longer wavelength and lower frequency. When a source of sound waves moves through a medium at the speed of sound in that medium, we say it moves at Mach=1. The Mach number is the ratio between the speed of the source and the speed of sound in that medium. At Mach=1, the object is said to ~ ~)"r "break the sound barrier". That's what you do when you have the "right stuff'. The object makes the transition to a supersonic motion. All wave fronts adding up ahead of the object created a strong shock wave. What happens ifvs>vw? +- __ 1 __ An interesting application of this situation is the termination shock, which occurs in our solar system in a region of space where the solar wind slows down to subsonic speeds....
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class23lecnotes - Class 23, Friday, March 5, 2010 Reading:...

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