Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Osci
StarInfo/Allen/!Ignotum/Formulae/Formulae/Osci
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/Osci |
| Read OK: | ✔ |
| File size: | 084E bytes |
| Load address: | 0000 |
| Exec address: | 0000 |
File contents
# Physics > Oscillations # 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 (#). a=-ks/m For simple harmonic motion, where: a=acceleration k='spring' constant m=mass of object s=displacement from equilibrium position s=Acos(wt) For simple harmonic motion, where: s=displacement from equilibrium position A=amplitude of movement w=angular velocity t=time w�=k/m For simple harmonic motion, where: w=angular velocity k='spring' constant m=mass of object T=2PI/w For simple harmonic motion, where: T=time for one period PI=3.141592654 w=angular velocity T=2PI(m/k)^� For simple harmonic motion, where: T=time for one period PI=3.141592654 m=mass of object k='spring' constant f=1/T For simple harmonic motion, where: f=frequency of oscillation T=time for one period f=w/2PI For simple harmonic motion, where: f=frequency of oscillation w=angular velocity PI=3.141592654 f=((k/m)^�)/2PI For simple harmonic motion, where: f=frequency of oscillation k='spring' constant m=mass of object PI=3.141592654 vmax=wA For simple harmonic motion, where: vmax=maximum velocity w=angular velocity A=amplitude of oscillation amax=w�A For simple harmonic motion, where: amax=maximum acceleration w=angular velocity A=amplitude of oscillation KE=�mv� Where: KE=kinetic energy of oscillator m=mass of oscillator v=velocity of oscillator PE=�ks� For simple harmonic motion, where: PE=potential energy of oscillator k='spring' constant s=displacement of oscillator from the equilibrium position E=�kA� For simple harmonic motion, where: E=total energy of oscillator k='spring' constant A=amplitude of oscillation Q=2PI(ES/EL) Where: Q=quality factor of oscillator PI=3.141592654 ES=energy stored in oscillator EL=energy lost per oscillation
00000000 23 20 50 68 79 73 69 63 73 20 3e 20 4f 73 63 69 |# Physics > Osci| 00000010 6c 6c 61 74 69 6f 6e 73 0a 0a 23 20 4e 65 77 20 |llations..# New | 00000020 65 6e 74 72 69 65 73 20 73 68 6f 75 6c 64 20 74 |entries should t| 00000030 61 6b 65 20 74 68 65 20 66 6f 72 6d 20 6f 66 3a |ake the form of:| 00000040 0a 23 20 20 20 20 20 46 6f 72 6d 75 6c 61 0a 23 |.# Formula.#| 00000050 20 20 20 20 20 4e 6f 74 65 20 31 0a 23 20 20 20 | Note 1.# | 00000060 20 20 4e 6f 74 65 20 32 0a 23 20 20 20 20 20 4e | Note 2.# N| 00000070 6f 74 65 20 33 0a 23 20 20 20 20 20 4e 6f 74 65 |ote 3.# Note| 00000080 20 34 0a 23 20 20 20 20 20 4e 6f 74 65 20 35 0a | 4.# Note 5.| 00000090 23 20 20 20 20 20 46 6f 72 6d 75 6c 61 0a 23 20 |# Formula.# | 000000a0 20 20 20 20 4e 6f 74 65 20 31 0a 23 20 20 20 20 | Note 1.# | 000000b0 20 41 6e 64 20 73 6f 20 6f 6e 2e 2e 2e 0a 23 20 | And so on....# | 000000c0 54 6f 20 66 69 74 20 73 6e 75 67 6c 79 20 69 6e |To fit snugly in| 000000d0 74 6f 20 74 68 65 20 77 69 6e 64 6f 77 2c 20 65 |to the window, e| 000000e0 61 63 68 20 6c 69 6e 65 20 73 68 6f 75 6c 64 20 |ach line should | 000000f0 62 65 20 6e 6f 20 6c 6f 6e 67 65 72 0a 23 20 74 |be no longer.# t| 00000100 68 61 6e 20 34 32 20 63 68 61 72 61 63 74 65 72 |han 42 character| 00000110 73 2e 0a 23 20 54 68 65 72 65 20 69 73 20 61 20 |s..# There is a | 00000120 6c 69 6d 69 74 20 6f 66 20 32 35 20 66 6f 72 6d |limit of 25 form| 00000130 75 6c 61 73 20 70 65 72 20 74 6f 70 69 63 2e 0a |ulas per topic..| 00000140 0a 23 20 41 6e 79 20 6e 6f 74 65 73 20 73 68 6f |.# Any notes sho| 00000150 75 6c 64 20 62 65 20 6d 61 64 65 20 68 65 72 65 |uld be made here| 00000160 2c 20 61 74 20 74 68 65 20 62 65 67 69 6e 6e 69 |, at the beginni| 00000170 6e 67 20 61 6e 64 20 73 68 6f 75 6c 64 0a 23 20 |ng and should.# | 00000180 62 65 20 70 72 65 63 65 65 64 65 64 20 62 79 20 |be preceeded by | 00000190 61 20 68 61 73 68 20 28 23 29 2e 0a 0a 61 3d 2d |a hash (#)...a=-| 000001a0 6b 73 2f 6d 0a 46 6f 72 20 73 69 6d 70 6c 65 20 |ks/m.For simple | 000001b0 68 61 72 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c |harmonic motion,| 000001c0 20 77 68 65 72 65 3a 0a 61 3d 61 63 63 65 6c 65 | where:.a=accele| 000001d0 72 61 74 69 6f 6e 0a 6b 3d 27 73 70 72 69 6e 67 |ration.k='spring| 000001e0 27 20 63 6f 6e 73 74 61 6e 74 0a 6d 3d 6d 61 73 |' constant.m=mas| 000001f0 73 20 6f 66 20 6f 62 6a 65 63 74 0a 73 3d 64 69 |s of object.s=di| 00000200 73 70 6c 61 63 65 6d 65 6e 74 20 66 72 6f 6d 20 |splacement from | 00000210 65 71 75 69 6c 69 62 72 69 75 6d 20 70 6f 73 69 |equilibrium posi| 00000220 74 69 6f 6e 0a 73 3d 41 63 6f 73 28 77 74 29 0a |tion.s=Acos(wt).| 00000230 46 6f 72 20 73 69 6d 70 6c 65 20 68 61 72 6d 6f |For simple harmo| 00000240 6e 69 63 20 6d 6f 74 69 6f 6e 2c 20 77 68 65 72 |nic motion, wher| 00000250 65 3a 0a 73 3d 64 69 73 70 6c 61 63 65 6d 65 6e |e:.s=displacemen| 00000260 74 20 66 72 6f 6d 20 65 71 75 69 6c 69 62 72 69 |t from equilibri| 00000270 75 6d 20 70 6f 73 69 74 69 6f 6e 0a 41 3d 61 6d |um position.A=am| 00000280 70 6c 69 74 75 64 65 20 6f 66 20 6d 6f 76 65 6d |plitude of movem| 00000290 65 6e 74 0a 77 3d 61 6e 67 75 6c 61 72 20 76 65 |ent.w=angular ve| 000002a0 6c 6f 63 69 74 79 0a 74 3d 74 69 6d 65 0a 77 b2 |locity.t=time.w.| 000002b0 3d 6b 2f 6d 0a 46 6f 72 20 73 69 6d 70 6c 65 20 |=k/m.For simple | 000002c0 68 61 72 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c |harmonic motion,| 000002d0 20 77 68 65 72 65 3a 0a 77 3d 61 6e 67 75 6c 61 | where:.w=angula| 000002e0 72 20 76 65 6c 6f 63 69 74 79 0a 6b 3d 27 73 70 |r velocity.k='sp| 000002f0 72 69 6e 67 27 20 63 6f 6e 73 74 61 6e 74 0a 6d |ring' constant.m| 00000300 3d 6d 61 73 73 20 6f 66 20 6f 62 6a 65 63 74 0a |=mass of object.| 00000310 0a 54 3d 32 50 49 2f 77 0a 46 6f 72 20 73 69 6d |.T=2PI/w.For sim| 00000320 70 6c 65 20 68 61 72 6d 6f 6e 69 63 20 6d 6f 74 |ple harmonic mot| 00000330 69 6f 6e 2c 20 77 68 65 72 65 3a 0a 54 3d 74 69 |ion, where:.T=ti| 00000340 6d 65 20 66 6f 72 20 6f 6e 65 20 70 65 72 69 6f |me for one perio| 00000350 64 0a 50 49 3d 33 2e 31 34 31 35 39 32 36 35 34 |d.PI=3.141592654| 00000360 0a 77 3d 61 6e 67 75 6c 61 72 20 76 65 6c 6f 63 |.w=angular veloc| 00000370 69 74 79 0a 0a 54 3d 32 50 49 28 6d 2f 6b 29 5e |ity..T=2PI(m/k)^| 00000380 bd 0a 46 6f 72 20 73 69 6d 70 6c 65 20 68 61 72 |..For simple har| 00000390 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c 20 77 68 |monic motion, wh| 000003a0 65 72 65 3a 0a 54 3d 74 69 6d 65 20 66 6f 72 20 |ere:.T=time for | 000003b0 6f 6e 65 20 70 65 72 69 6f 64 0a 50 49 3d 33 2e |one period.PI=3.| 000003c0 31 34 31 35 39 32 36 35 34 0a 6d 3d 6d 61 73 73 |141592654.m=mass| 000003d0 20 6f 66 20 6f 62 6a 65 63 74 0a 6b 3d 27 73 70 | of object.k='sp| 000003e0 72 69 6e 67 27 20 63 6f 6e 73 74 61 6e 74 0a 66 |ring' constant.f| 000003f0 3d 31 2f 54 0a 46 6f 72 20 73 69 6d 70 6c 65 20 |=1/T.For simple | 00000400 68 61 72 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c |harmonic motion,| 00000410 20 77 68 65 72 65 3a 0a 66 3d 66 72 65 71 75 65 | where:.f=freque| 00000420 6e 63 79 20 6f 66 20 6f 73 63 69 6c 6c 61 74 69 |ncy of oscillati| 00000430 6f 6e 0a 54 3d 74 69 6d 65 20 66 6f 72 20 6f 6e |on.T=time for on| 00000440 65 20 70 65 72 69 6f 64 0a 0a 0a 66 3d 77 2f 32 |e period...f=w/2| 00000450 50 49 0a 46 6f 72 20 73 69 6d 70 6c 65 20 68 61 |PI.For simple ha| 00000460 72 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c 20 77 |rmonic motion, w| 00000470 68 65 72 65 3a 0a 66 3d 66 72 65 71 75 65 6e 63 |here:.f=frequenc| 00000480 79 20 6f 66 20 6f 73 63 69 6c 6c 61 74 69 6f 6e |y of oscillation| 00000490 0a 77 3d 61 6e 67 75 6c 61 72 20 76 65 6c 6f 63 |.w=angular veloc| 000004a0 69 74 79 0a 50 49 3d 33 2e 31 34 31 35 39 32 36 |ity.PI=3.1415926| 000004b0 35 34 0a 0a 66 3d 28 28 6b 2f 6d 29 5e bd 29 2f |54..f=((k/m)^.)/| 000004c0 32 50 49 0a 46 6f 72 20 73 69 6d 70 6c 65 20 68 |2PI.For simple h| 000004d0 61 72 6d 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c 20 |armonic motion, | 000004e0 77 68 65 72 65 3a 0a 66 3d 66 72 65 71 75 65 6e |where:.f=frequen| 000004f0 63 79 20 6f 66 20 6f 73 63 69 6c 6c 61 74 69 6f |cy of oscillatio| 00000500 6e 0a 6b 3d 27 73 70 72 69 6e 67 27 20 63 6f 6e |n.k='spring' con| 00000510 73 74 61 6e 74 0a 6d 3d 6d 61 73 73 20 6f 66 20 |stant.m=mass of | 00000520 6f 62 6a 65 63 74 0a 50 49 3d 33 2e 31 34 31 35 |object.PI=3.1415| 00000530 39 32 36 35 34 0a 76 6d 61 78 3d 77 41 0a 46 6f |92654.vmax=wA.Fo| 00000540 72 20 73 69 6d 70 6c 65 20 68 61 72 6d 6f 6e 69 |r simple harmoni| 00000550 63 20 6d 6f 74 69 6f 6e 2c 20 77 68 65 72 65 3a |c motion, where:| 00000560 0a 76 6d 61 78 3d 6d 61 78 69 6d 75 6d 20 76 65 |.vmax=maximum ve| 00000570 6c 6f 63 69 74 79 0a 77 3d 61 6e 67 75 6c 61 72 |locity.w=angular| 00000580 20 76 65 6c 6f 63 69 74 79 0a 41 3d 61 6d 70 6c | velocity.A=ampl| 00000590 69 74 75 64 65 20 6f 66 20 6f 73 63 69 6c 6c 61 |itude of oscilla| 000005a0 74 69 6f 6e 0a 0a 61 6d 61 78 3d 77 b2 41 0a 46 |tion..amax=w.A.F| 000005b0 6f 72 20 73 69 6d 70 6c 65 20 68 61 72 6d 6f 6e |or simple harmon| 000005c0 69 63 20 6d 6f 74 69 6f 6e 2c 20 77 68 65 72 65 |ic motion, where| 000005d0 3a 0a 61 6d 61 78 3d 6d 61 78 69 6d 75 6d 20 61 |:.amax=maximum a| 000005e0 63 63 65 6c 65 72 61 74 69 6f 6e 0a 77 3d 61 6e |cceleration.w=an| 000005f0 67 75 6c 61 72 20 76 65 6c 6f 63 69 74 79 0a 41 |gular velocity.A| 00000600 3d 61 6d 70 6c 69 74 75 64 65 20 6f 66 20 6f 73 |=amplitude of os| 00000610 63 69 6c 6c 61 74 69 6f 6e 0a 0a 4b 45 3d bd 6d |cillation..KE=.m| 00000620 76 b2 0a 57 68 65 72 65 3a 0a 4b 45 3d 6b 69 6e |v..Where:.KE=kin| 00000630 65 74 69 63 20 65 6e 65 72 67 79 20 6f 66 20 6f |etic energy of o| 00000640 73 63 69 6c 6c 61 74 6f 72 0a 6d 3d 6d 61 73 73 |scillator.m=mass| 00000650 20 6f 66 20 6f 73 63 69 6c 6c 61 74 6f 72 0a 76 | of oscillator.v| 00000660 3d 76 65 6c 6f 63 69 74 79 20 6f 66 20 6f 73 63 |=velocity of osc| 00000670 69 6c 6c 61 74 6f 72 0a 0a 50 45 3d bd 6b 73 b2 |illator..PE=.ks.| 00000680 0a 46 6f 72 20 73 69 6d 70 6c 65 20 68 61 72 6d |.For simple harm| 00000690 6f 6e 69 63 20 6d 6f 74 69 6f 6e 2c 20 77 68 65 |onic motion, whe| 000006a0 72 65 3a 0a 50 45 3d 70 6f 74 65 6e 74 69 61 6c |re:.PE=potential| 000006b0 20 65 6e 65 72 67 79 20 6f 66 20 6f 73 63 69 6c | energy of oscil| 000006c0 6c 61 74 6f 72 0a 6b 3d 27 73 70 72 69 6e 67 27 |lator.k='spring'| 000006d0 20 63 6f 6e 73 74 61 6e 74 0a 73 3d 64 69 73 70 | constant.s=disp| 000006e0 6c 61 63 65 6d 65 6e 74 20 6f 66 20 6f 73 63 69 |lacement of osci| 000006f0 6c 6c 61 74 6f 72 20 66 72 6f 6d 20 74 68 65 0a |llator from the.| 00000700 65 71 75 69 6c 69 62 72 69 75 6d 20 70 6f 73 69 |equilibrium posi| 00000710 74 69 6f 6e 0a 45 3d bd 6b 41 b2 0a 46 6f 72 20 |tion.E=.kA..For | 00000720 73 69 6d 70 6c 65 20 68 61 72 6d 6f 6e 69 63 20 |simple harmonic | 00000730 6d 6f 74 69 6f 6e 2c 20 77 68 65 72 65 3a 0a 45 |motion, where:.E| 00000740 3d 74 6f 74 61 6c 20 65 6e 65 72 67 79 20 6f 66 |=total energy of| 00000750 20 6f 73 63 69 6c 6c 61 74 6f 72 0a 6b 3d 27 73 | oscillator.k='s| 00000760 70 72 69 6e 67 27 20 63 6f 6e 73 74 61 6e 74 0a |pring' constant.| 00000770 41 3d 61 6d 70 6c 69 74 75 64 65 20 6f 66 20 6f |A=amplitude of o| 00000780 73 63 69 6c 6c 61 74 69 6f 6e 0a 0a 51 3d 32 50 |scillation..Q=2P| 00000790 49 28 45 53 2f 45 4c 29 0a 57 68 65 72 65 3a 0a |I(ES/EL).Where:.| 000007a0 51 3d 71 75 61 6c 69 74 79 20 66 61 63 74 6f 72 |Q=quality factor| 000007b0 20 6f 66 20 6f 73 63 69 6c 6c 61 74 6f 72 0a 50 | of oscillator.P| 000007c0 49 3d 33 2e 31 34 31 35 39 32 36 35 34 0a 45 53 |I=3.141592654.ES| 000007d0 3d 65 6e 65 72 67 79 20 73 74 6f 72 65 64 20 69 |=energy stored i| 000007e0 6e 20 6f 73 63 69 6c 6c 61 74 6f 72 0a 45 4c 3d |n oscillator.EL=| 000007f0 65 6e 65 72 67 79 20 6c 6f 73 74 20 70 65 72 20 |energy lost per | 00000800 6f 73 63 69 6c 6c 61 74 69 6f 6e 0a 0a 0a 0a 0a |oscillation.....| 00000810 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |................| * 00000840 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |..............| 0000084e
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