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Article #5975Re: CORRECT ANALYSIS OF THE SAGNAC EFFECT
From: Sue...
Date: Thu, 20 Dec 2007 10:16
Date: Thu, 20 Dec 2007 10:16
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5329 bytes
On Dec 20, 4:11 am, Pentcho Valev <pva...@yahoo.com> wrote: > In discussing the Sagnac effect, both relativists and anti-relativists > make the following mistake: > http://www.mathpages.com/rr/s2-07/2-07.htm > "Quantitatively, if we let w denote the angular speed of the loop, > then the circumferential tangent speed of the end point is v = wR, and > the sum of the speeds of the wave front and the receiver at the "end" > point is c-v in the co-rotating direction and c+v in the counter- > rotating direction.....This analysis is perfectly valid in both the > classical and the relativistic contexts." > > The values c-v and c+v above are "perfectly valid" only in the > relativistic context. If by "classical" the author means "Newtonian", > the analysis is by no means "perfectly valid". According to an > observer at rest, in the classical context, the speed of light is c+v > in the co-rotating direction and c-v in the counter-rotating direction > so the correct text would be: > > "Quantitatively, if we let w denote the angular speed of the loop, > then the circumferential tangent speed of the end point is v = wR, and > the sum of the speeds of the wave front and the receiver at the "end" > point is c in the co-rotating direction and c in the counter-rotating > direction." > > Pentcho Valev > pva...@yahoo.com << In the ring laser, four highly reflective deflecting mirrors form a closed beam path, which in turn encloses a square surface. When a gas mixture of helium and neon contained in a stainless-steel tube is excited by radio waves, the resonator turns into a laser for two counter-rotating beams. As long as the ring laser does not move, the beams traveling clockwise and counterclockwise display identical frequency. When the ring laser rotates, the frequencies differ by an amount dependent on the speed of rotation of the system. >> http://www.laserfocusworld.com/display_article/83800/12/ARCHI/none/News/Largest-ring-laser-gyroscope-lands-in-Bavaria "Always Knowing Precisely How Fast the Earth is Turning" Wettzell Fundamental Research Station http://www.zeiss.com/C125716F004E0776/0/DB95426F0494AB1DC125717500445CEE/$File/Innovation_10_18.pdf << Professor Ulrich Schreiber of the Munich Technical University in Germany reported that his Earth-based, ultra-precise "G" ring laser gyroscope was able to detect perturbations in the Earth's axis as a result of the Indonesian earthquake. This gyroscope--the largest of its kind in the world--contains a giant glass ceramic disc, 4.25 meters in diameter, 25 centimeters thick and weighing 10 tons. It is located in a sealed and pressurized chamber, eight meters below the surface of the Earth, at the Wettzell Fundamental Research Station in New Zealand. This instrument was specifically designed to be able to detect changes in the Earth's rotation within a day. For more information on the "G" ring laser gyroscope, see a 1996 article on the Web site of the International Society for Optical Engineering (SPIE) or download a PDF copy of a 2003 paper from the Wettzell Fundamental Research Station. >> http://einstein.stanford.edu/highlights/hl_010705.html <<The first system was constructed by University of Canterbury over 1988-1991. The was dubbed C-I (for Canterbury One). It showed that a square metre ring laser could operate in single mode and so as a gyroscope, and that it could be unlocked by Earth rotation. The FGS (Forschungsgruppe Satelliengeodäsie) collaboration in Germany then joined with us in a fully international collaboration. The German partners built a far more precise and stable ring, C-II. This was installed at Cashmere in 1997, and developed and upgraded several times since then. >> http://www.phys.canterbury.ac.nz/research/laser/ring_2000.shtml Sue...
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X-Google-Thread: 10f545,8279c4fdb7351591 X-Google-Thread: 10b271,8279c4fdb7351591 X-Google-Thread: f74ae,8279c4fdb7351591 X-Google-Thread: fa4c1,8279c4fdb7351591 X-Google-Thread: 1139f8,8279c4fdb7351591 X-Google-Attributes: gid10f545,gid10b271,gidf74ae,gidfa4c1,gid1139f8,public,usenet X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews.google.com!r29g2000hsg.googlegroups.com!not-for-mail From: "Sue..." <suzysewnshow@yahoo.com.au> Newsgroups: sci.physics.relativity, sci.physics, sci.astro, fr.sci.physique, fr.sci.maths Subject: Re: CORRECT ANALYSIS OF THE SAGNAC EFFECT Date: Thu, 20 Dec 2007 02:16:49 -0800 (PST) Organization: http://groups.google.com Lines: 87 Message-ID: <df07b240-1478-4dc9-9bde-452fe5058485@r29g2000hsg.googlegroups.com> References: <e4d6d3a0-d2f1-487a-acbb-19017d35b8b4@c4g2000hsg.googlegroups.com> NNTP-Posting-Host: 69.34.147.135 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1198145810 13170 127.0.0.1 (20 Dec 2007 10:16:50 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Thu, 20 Dec 2007 10:16:50 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: r29g2000hsg.googlegroups.com; posting-host=69.34.147.135; posting-account=wigfZgkAAACDgITarXffzxJygX81YRSs User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/4.0 (compatible; MSIE 6.0; Windows 98),gzip(gfe),gzip(gfe)