Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Wave
StarInfo/Allen/!Ignotum/Formulae/Formulae/Wave
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
| Tape/disk: | Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars |
| Filename: | StarInfo/Allen/!Ignotum/Formulae/Formulae/Wave |
| Read OK: | ✔ |
| File size: | 0509 bytes |
| Load address: | 0000 |
| Exec address: | 0000 |
File contents
# Physics > Waves # New entries should take the form of: # Formula # Note 1 # Note 2 # Note 3 # Note 4 # Note 5 # Formula # Note 1 # And so on... # To fit snugly into the window, each line should be no longer # than 42 characters. # There is a limit of 25 formulas per topic. # Any notes should be made here, at the beginning and should # be preceeded by a hash (#). c=fl Where: c=wave speed f=frequency l=wavelength c=x(k/m)^� For compression waves in a mass-spring system: c=wave speed x=spacing, m=mass k='spring' constant c=(E/d)^� For a sound wave in a solid: c=wave speed E=Young modulus d=density c=(T/u)^� For a transverse wave in a string: c=wave speed T=tension force u=mass per unit length c=1/(eu)^� For electromagnetic waves in free space: c=wave speed e=permittivity of free space u=permeability of free space l=sx/L In Young's fringe experiment: l=wavelength s=slit spacing x=fringe separation L=distance from slits to fringes sinX=nl/b For single slit diffraction: X=angles of minima n=minima number l=wavelength b=slit width sinX=nl/s For diffraction gratings: X=angles of maxima n=maxima number l=wavelength s=grating spacing
00000000 23 20 50 68 79 73 69 63 73 20 3e 20 57 61 76 65 |# Physics > Wave| 00000010 73 0a 0a 23 20 4e 65 77 20 65 6e 74 72 69 65 73 |s..# New entries| 00000020 20 73 68 6f 75 6c 64 20 74 61 6b 65 20 74 68 65 | should take the| 00000030 20 66 6f 72 6d 20 6f 66 3a 0a 23 20 20 20 20 20 | form of:.# | 00000040 46 6f 72 6d 75 6c 61 0a 23 20 20 20 20 20 4e 6f |Formula.# No| 00000050 74 65 20 31 0a 23 20 20 20 20 20 4e 6f 74 65 20 |te 1.# Note | 00000060 32 0a 23 20 20 20 20 20 4e 6f 74 65 20 33 0a 23 |2.# Note 3.#| 00000070 20 20 20 20 20 4e 6f 74 65 20 34 0a 23 20 20 20 | Note 4.# | 00000080 20 20 4e 6f 74 65 20 35 0a 23 20 20 20 20 20 46 | Note 5.# F| 00000090 6f 72 6d 75 6c 61 0a 23 20 20 20 20 20 4e 6f 74 |ormula.# Not| 000000a0 65 20 31 0a 23 20 20 20 20 20 41 6e 64 20 73 6f |e 1.# And so| 000000b0 20 6f 6e 2e 2e 2e 0a 23 20 54 6f 20 66 69 74 20 | on....# To fit | 000000c0 73 6e 75 67 6c 79 20 69 6e 74 6f 20 74 68 65 20 |snugly into the | 000000d0 77 69 6e 64 6f 77 2c 20 65 61 63 68 20 6c 69 6e |window, each lin| 000000e0 65 20 73 68 6f 75 6c 64 20 62 65 20 6e 6f 20 6c |e should be no l| 000000f0 6f 6e 67 65 72 0a 23 20 74 68 61 6e 20 34 32 20 |onger.# than 42 | 00000100 63 68 61 72 61 63 74 65 72 73 2e 0a 23 20 54 68 |characters..# Th| 00000110 65 72 65 20 69 73 20 61 20 6c 69 6d 69 74 20 6f |ere is a limit o| 00000120 66 20 32 35 20 66 6f 72 6d 75 6c 61 73 20 70 65 |f 25 formulas pe| 00000130 72 20 74 6f 70 69 63 2e 0a 0a 23 20 41 6e 79 20 |r topic...# Any | 00000140 6e 6f 74 65 73 20 73 68 6f 75 6c 64 20 62 65 20 |notes should be | 00000150 6d 61 64 65 20 68 65 72 65 2c 20 61 74 20 74 68 |made here, at th| 00000160 65 20 62 65 67 69 6e 6e 69 6e 67 20 61 6e 64 20 |e beginning and | 00000170 73 68 6f 75 6c 64 0a 23 20 62 65 20 70 72 65 63 |should.# be prec| 00000180 65 65 64 65 64 20 62 79 20 61 20 68 61 73 68 20 |eeded by a hash | 00000190 28 23 29 2e 0a 0a 63 3d 66 6c 0a 57 68 65 72 65 |(#)...c=fl.Where| 000001a0 3a 0a 63 3d 77 61 76 65 20 73 70 65 65 64 0a 66 |:.c=wave speed.f| 000001b0 3d 66 72 65 71 75 65 6e 63 79 0a 6c 3d 77 61 76 |=frequency.l=wav| 000001c0 65 6c 65 6e 67 74 68 0a 0a 63 3d 78 28 6b 2f 6d |elength..c=x(k/m| 000001d0 29 5e bd 0a 46 6f 72 20 63 6f 6d 70 72 65 73 73 |)^..For compress| 000001e0 69 6f 6e 20 77 61 76 65 73 20 69 6e 20 61 20 6d |ion waves in a m| 000001f0 61 73 73 2d 73 70 72 69 6e 67 0a 73 79 73 74 65 |ass-spring.syste| 00000200 6d 3a 0a 63 3d 77 61 76 65 20 73 70 65 65 64 0a |m:.c=wave speed.| 00000210 78 3d 73 70 61 63 69 6e 67 2c 20 6d 3d 6d 61 73 |x=spacing, m=mas| 00000220 73 0a 6b 3d 27 73 70 72 69 6e 67 27 20 63 6f 6e |s.k='spring' con| 00000230 73 74 61 6e 74 0a 63 3d 28 45 2f 64 29 5e bd 0a |stant.c=(E/d)^..| 00000240 46 6f 72 20 61 20 73 6f 75 6e 64 20 77 61 76 65 |For a sound wave| 00000250 20 69 6e 20 61 20 73 6f 6c 69 64 3a 0a 63 3d 77 | in a solid:.c=w| 00000260 61 76 65 20 73 70 65 65 64 0a 45 3d 59 6f 75 6e |ave speed.E=Youn| 00000270 67 20 6d 6f 64 75 6c 75 73 0a 64 3d 64 65 6e 73 |g modulus.d=dens| 00000280 69 74 79 0a 0a 63 3d 28 54 2f 75 29 5e bd 0a 46 |ity..c=(T/u)^..F| 00000290 6f 72 20 61 20 74 72 61 6e 73 76 65 72 73 65 20 |or a transverse | 000002a0 77 61 76 65 20 69 6e 20 61 20 73 74 72 69 6e 67 |wave in a string| 000002b0 3a 0a 63 3d 77 61 76 65 20 73 70 65 65 64 0a 54 |:.c=wave speed.T| 000002c0 3d 74 65 6e 73 69 6f 6e 20 66 6f 72 63 65 0a 75 |=tension force.u| 000002d0 3d 6d 61 73 73 20 70 65 72 20 75 6e 69 74 20 6c |=mass per unit l| 000002e0 65 6e 67 74 68 0a 0a 63 3d 31 2f 28 65 75 29 5e |ength..c=1/(eu)^| 000002f0 bd 0a 46 6f 72 20 65 6c 65 63 74 72 6f 6d 61 67 |..For electromag| 00000300 6e 65 74 69 63 20 77 61 76 65 73 20 69 6e 20 66 |netic waves in f| 00000310 72 65 65 20 73 70 61 63 65 3a 0a 63 3d 77 61 76 |ree space:.c=wav| 00000320 65 20 73 70 65 65 64 0a 65 3d 70 65 72 6d 69 74 |e speed.e=permit| 00000330 74 69 76 69 74 79 20 6f 66 20 66 72 65 65 20 73 |tivity of free s| 00000340 70 61 63 65 0a 75 3d 70 65 72 6d 65 61 62 69 6c |pace.u=permeabil| 00000350 69 74 79 20 6f 66 20 66 72 65 65 20 73 70 61 63 |ity of free spac| 00000360 65 0a 0a 6c 3d 73 78 2f 4c 0a 49 6e 20 59 6f 75 |e..l=sx/L.In You| 00000370 6e 67 27 73 20 66 72 69 6e 67 65 20 65 78 70 65 |ng's fringe expe| 00000380 72 69 6d 65 6e 74 3a 0a 6c 3d 77 61 76 65 6c 65 |riment:.l=wavele| 00000390 6e 67 74 68 0a 73 3d 73 6c 69 74 20 73 70 61 63 |ngth.s=slit spac| 000003a0 69 6e 67 0a 78 3d 66 72 69 6e 67 65 20 73 65 70 |ing.x=fringe sep| 000003b0 61 72 61 74 69 6f 6e 0a 4c 3d 64 69 73 74 61 6e |aration.L=distan| 000003c0 63 65 20 66 72 6f 6d 20 73 6c 69 74 73 20 74 6f |ce from slits to| 000003d0 20 66 72 69 6e 67 65 73 0a 73 69 6e 58 3d 6e 6c | fringes.sinX=nl| 000003e0 2f 62 0a 46 6f 72 20 73 69 6e 67 6c 65 20 73 6c |/b.For single sl| 000003f0 69 74 20 64 69 66 66 72 61 63 74 69 6f 6e 3a 0a |it diffraction:.| 00000400 58 3d 61 6e 67 6c 65 73 20 6f 66 20 6d 69 6e 69 |X=angles of mini| 00000410 6d 61 0a 6e 3d 6d 69 6e 69 6d 61 20 6e 75 6d 62 |ma.n=minima numb| 00000420 65 72 0a 6c 3d 77 61 76 65 6c 65 6e 67 74 68 0a |er.l=wavelength.| 00000430 62 3d 73 6c 69 74 20 77 69 64 74 68 0a 73 69 6e |b=slit width.sin| 00000440 58 3d 6e 6c 2f 73 0a 46 6f 72 20 64 69 66 66 72 |X=nl/s.For diffr| 00000450 61 63 74 69 6f 6e 20 67 72 61 74 69 6e 67 73 3a |action gratings:| 00000460 0a 58 3d 61 6e 67 6c 65 73 20 6f 66 20 6d 61 78 |.X=angles of max| 00000470 69 6d 61 0a 6e 3d 6d 61 78 69 6d 61 20 6e 75 6d |ima.n=maxima num| 00000480 62 65 72 0a 6c 3d 77 61 76 65 6c 65 6e 67 74 68 |ber.l=wavelength| 00000490 0a 73 3d 67 72 61 74 69 6e 67 20 73 70 61 63 69 |.s=grating spaci| 000004a0 6e 67 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |ng..............| 000004b0 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |................| * 00000500 0a 0a 0a 0a 0a 0a 0a 0a 0a |.........| 00000509
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