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!Ignotum/Formulae/Wave

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Tape/disk: Home » Archimedes archive » Archimedes World » AW-1996-07.adf » !Ignotum_Ignotum
Filename: !Ignotum/Formulae/Wave
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File contents
# Physics > Waves
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


















































































































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 57 61 76 65  |# Physics > Wave|
00000010  73 0a 63 3d 66 6c 0a 57  68 65 72 65 3a 0a 63 3d  |s.c=fl.Where:.c=|
00000020  77 61 76 65 20 73 70 65  65 64 0a 66 3d 66 72 65  |wave speed.f=fre|
00000030  71 75 65 6e 63 79 0a 6c  3d 77 61 76 65 6c 65 6e  |quency.l=wavelen|
00000040  67 74 68 0a 0a 63 3d 78  28 6b 2f 6d 29 5e bd 0a  |gth..c=x(k/m)^..|
00000050  46 6f 72 20 63 6f 6d 70  72 65 73 73 69 6f 6e 20  |For compression |
00000060  77 61 76 65 73 20 69 6e  20 61 20 6d 61 73 73 2d  |waves in a mass-|
00000070  73 70 72 69 6e 67 0a 73  79 73 74 65 6d 3a 0a 63  |spring.system:.c|
00000080  3d 77 61 76 65 20 73 70  65 65 64 0a 78 3d 73 70  |=wave speed.x=sp|
00000090  61 63 69 6e 67 2c 20 6d  3d 6d 61 73 73 0a 6b 3d  |acing, m=mass.k=|
000000a0  27 73 70 72 69 6e 67 27  20 63 6f 6e 73 74 61 6e  |'spring' constan|
000000b0  74 0a 63 3d 28 45 2f 64  29 5e bd 0a 46 6f 72 20  |t.c=(E/d)^..For |
000000c0  61 20 73 6f 75 6e 64 20  77 61 76 65 20 69 6e 20  |a sound wave in |
000000d0  61 20 73 6f 6c 69 64 3a  0a 63 3d 77 61 76 65 20  |a solid:.c=wave |
000000e0  73 70 65 65 64 0a 45 3d  59 6f 75 6e 67 20 6d 6f  |speed.E=Young mo|
000000f0  64 75 6c 75 73 0a 64 3d  64 65 6e 73 69 74 79 0a  |dulus.d=density.|
00000100  0a 63 3d 28 54 2f 75 29  0a 46 6f 72 20 61 20 74  |.c=(T/u).For a t|
00000110  72 61 6e 73 76 65 72 73  65 20 77 61 76 65 20 69  |ransverse wave i|
00000120  6e 20 61 20 73 74 72 69  6e 67 3a 0a 63 3d 77 61  |n a string:.c=wa|
00000130  76 65 20 73 70 65 65 64  0a 54 3d 74 65 6e 73 69  |ve speed.T=tensi|
00000140  6f 6e 20 66 6f 72 63 65  0a 75 3d 6d 61 73 73 20  |on force.u=mass |
00000150  70 65 72 20 75 6e 69 74  20 6c 65 6e 67 74 68 0a  |per unit length.|
00000160  0a 63 3d 31 2f 28 65 75  29 5e bd 0a 46 6f 72 20  |.c=1/(eu)^..For |
00000170  65 6c 65 63 74 72 6f 6d  61 67 6e 65 74 69 63 20  |electromagnetic |
00000180  77 61 76 65 73 20 69 6e  20 66 72 65 65 20 73 70  |waves in free sp|
00000190  61 63 65 3a 0a 63 3d 77  61 76 65 20 73 70 65 65  |ace:.c=wave spee|
000001a0  64 0a 65 3d 70 65 72 6d  69 74 74 69 76 69 74 79  |d.e=permittivity|
000001b0  20 6f 66 20 66 72 65 65  20 73 70 61 63 65 0a 75  | of free space.u|
000001c0  3d 70 65 72 6d 65 61 62  69 6c 69 74 79 20 6f 66  |=permeability of|
000001d0  20 66 72 65 65 20 73 70  61 63 65 0a 0a 6c 3d 73  | free space..l=s|
000001e0  78 2f 4c 0a 49 6e 20 59  6f 75 6e 67 27 73 20 66  |x/L.In Young's f|
000001f0  72 69 6e 67 65 20 65 78  70 65 72 69 6d 65 6e 74  |ringe experiment|
00000200  3a 0a 6c 3d 77 61 76 65  6c 65 6e 67 74 68 0a 73  |:.l=wavelength.s|
00000210  3d 73 6c 69 74 20 73 70  61 63 69 6e 67 0a 78 3d  |=slit spacing.x=|
00000220  66 72 69 6e 67 65 20 73  65 70 61 72 61 74 69 6f  |fringe separatio|
00000230  6e 0a 4c 3d 64 69 73 74  61 6e 63 65 20 66 72 6f  |n.L=distance fro|
00000240  6d 20 73 6c 69 74 73 20  74 6f 20 66 72 69 6e 67  |m slits to fring|
00000250  65 73 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |es..............|
00000260  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
000002c0  0a 0a 0a 0a 0a                                    |.....|
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