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Trying To Add Sine Waves

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  • C C P User 3

    Nice catch. Thank you and you are voted up My physics is messed up. If I add two sine waves, same amplitude, same frequency, but off by 180 degrees, I'm supposed to get zero. Wave Adder gives me a much lower amplitude, but not zero. Am I missing something ? Maybe congress changed the laws of physics.

    L Offline
    L Offline
    Lost User
    wrote on last edited by
    #19

    Quote:

    Maybe congress changed the laws of physics.

    Not Congress. It was Al Gore!

    Get me coffee and no one gets hurt!

    1 Reply Last reply
    0
    • K Kenneth Haugland

      360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

      9 Offline
      9 Offline
      9082365
      wrote on last edited by
      #20

      Kenneth Haugland wrote:

      how Sinus and Cosinus are defined

      Are you sure about that? The ratio of sides of a triangle is totally independent of the units used to measure the angle.

      I am not a number. I am a ... no, wait!

      K 1 Reply Last reply
      0
      • K Kenneth Haugland

        360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

        Kornfeld Eliyahu PeterK Offline
        Kornfeld Eliyahu PeterK Offline
        Kornfeld Eliyahu Peter
        wrote on last edited by
        #21

        I think that 2π is very nice...

        Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

        "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

        OriginalGriffO F 2 Replies Last reply
        0
        • K Kenneth Haugland

          360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

          L Offline
          L Offline
          Lost User
          wrote on last edited by
          #22

          That's why I bought a watch in 2 PI :laugh:

          1 Reply Last reply
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          • OriginalGriffO OriginalGriff

            It looks fine for me: 2.06 radians as a phase shift with a frequency of 3 looks about right given that

            3 * (2.06 / 2) = 3.09 ~= π

            Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

            S Offline
            S Offline
            Sascha Lefevre
            wrote on last edited by
            #23

            The effect of the phase shift should be independent of the frequency. A phase shift of π will always "flip" a sine graph horizontally. Now enter a frequency of 2 and look at the graphs for a phase shift of 0 and then 3.141 :laugh:

            If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

            OriginalGriffO 1 Reply Last reply
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            • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

              I think that 2π is very nice...

              Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

              OriginalGriffO Offline
              OriginalGriffO Offline
              OriginalGriff
              wrote on last edited by
              #24

              I prefer ><(((o> π

              Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

              "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
              "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

              Kornfeld Eliyahu PeterK 1 Reply Last reply
              0
              • S Sascha Lefevre

                The effect of the phase shift should be independent of the frequency. A phase shift of π will always "flip" a sine graph horizontally. Now enter a frequency of 2 and look at the graphs for a phase shift of 0 and then 3.141 :laugh:

                If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

                OriginalGriffO Offline
                OriginalGriffO Offline
                OriginalGriff
                wrote on last edited by
                #25

                See what you mean, but I see what they are doing as well.

                Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                S 1 Reply Last reply
                0
                • OriginalGriffO OriginalGriff

                  I prefer ><(((o> π

                  Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                  Kornfeld Eliyahu PeterK Offline
                  Kornfeld Eliyahu PeterK Offline
                  Kornfeld Eliyahu Peter
                  wrote on last edited by
                  #26

                  I meant apple π and cherry π :-D

                  Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                  "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

                  OriginalGriffO 1 Reply Last reply
                  0
                  • OriginalGriffO OriginalGriff

                    See what you mean, but I see what they are doing as well.

                    Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                    S Offline
                    S Offline
                    Sascha Lefevre
                    wrote on last edited by
                    #27

                    OriginalGriff wrote:

                    but I see what they are doing as well.

                    Don't think so: f=2, p=0 -> draw yellow, add, add -> double amplitude f=2, p=0 -> draw yellow, add; f=2, p=3.141 -> add -> double amplitude, should be flat.

                    If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

                    1 Reply Last reply
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                    • 9 9082365

                      Kenneth Haugland wrote:

                      how Sinus and Cosinus are defined

                      Are you sure about that? The ratio of sides of a triangle is totally independent of the units used to measure the angle.

                      I am not a number. I am a ... no, wait!

                      K Offline
                      K Offline
                      Kenneth Haugland
                      wrote on last edited by
                      #28

                      Well, its all connected: Sin(2*pi*n) = 0 Without pi the Taylor series is sin and cosine is pretty much useless in Fourier Transform for instance.

                      1 Reply Last reply
                      0
                      • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                        I think that 2π is very nice...

                        Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                        F Offline
                        F Offline
                        Forogar
                        wrote on last edited by
                        #29

                        Shakespeare Geometry: 2π or not 2π? (That is the question.)

                        - I would love to change the world, but they won’t give me the source code.

                        1 Reply Last reply
                        0
                        • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                          I meant apple π and cherry π :-D

                          Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                          OriginalGriffO Offline
                          OriginalGriffO Offline
                          OriginalGriff
                          wrote on last edited by
                          #30

                          Wouldn't that be iπ?

                          Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                          "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                          "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                          1 Reply Last reply
                          0
                          • OriginalGriffO OriginalGriff

                            Does that mean I have to become racist and get a comb-over? :laugh:

                            Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                            Richard Andrew x64R Offline
                            Richard Andrew x64R Offline
                            Richard Andrew x64
                            wrote on last edited by
                            #31

                            OriginalGriff wrote:

                            Does that mean I have to become racist and get a comb-over?

                            Obama doesn't have a comb-over. :rolleyes:

                            The difficult we do right away... ...the impossible takes slightly longer.

                            1 Reply Last reply
                            0
                            • K Kenneth Haugland

                              If you have problems finding this on google, you might just as well create a program that does it :D

                              C Offline
                              C Offline
                              C P User 3
                              wrote on last edited by
                              #32

                              Hold it, Microsoft *Excel* will do that, I think. Yes ? No ? Will LibreOffice *Impress* also do the same thing ? I seem to remember this from 3 or 4 years ago. We did this with some procedure.

                              K 1 Reply Last reply
                              0
                              • C C P User 3

                                Hold it, Microsoft *Excel* will do that, I think. Yes ? No ? Will LibreOffice *Impress* also do the same thing ? I seem to remember this from 3 or 4 years ago. We did this with some procedure.

                                K Offline
                                K Offline
                                Kenneth Haugland
                                wrote on last edited by
                                #33

                                No, please sir, not Excel. Its sooo crude that any person can use it :laugh: And dont get me started on the macros, one for every operation :sigh:

                                1 Reply Last reply
                                0
                                • OriginalGriffO OriginalGriff

                                  This do it? Wave Adder[^] My Google query was "how to add waves graphically" and it was the 6th link.

                                  Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                  C Offline
                                  C Offline
                                  C P User 3
                                  wrote on last edited by
                                  #34

                                  Now if only I could make the lines fatter, and choose the color ! Beggars can't be choosers ? Bah ! Humbug !

                                  1 Reply Last reply
                                  0
                                  • L Lost User

                                    maybe the Phase shift should be entered in rad and not degrees?

                                    X Offline
                                    X Offline
                                    xperroni
                                    wrote on last edited by
                                    #35

                                    That's it. Enter 3.14 instead of 180.

                                    "Whereas smaller computer languages have features designed into them, C++ is unusual in having a whole swathe of functionality discovered, like a tract of 19th century Africa." -- Verity Stob http://www.theregister.co.uk/2006/05/05/cplusplus\_cli/

                                    1 Reply Last reply
                                    0
                                    • OriginalGriffO OriginalGriff

                                      Does that mean I have to become racist and get a comb-over? :laugh:

                                      Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                      K Offline
                                      K Offline
                                      KP Lee
                                      wrote on last edited by
                                      #36

                                      OriginalGriff wrote:

                                      Does that mean I have to become racist and get a comb-over?

                                      Good one. I think I laugh more often reading your comments than any other poster on this site. Unfortunately, our nation seems to like ping-pong-ING winners and we might just get that one this time. If you wait four years we may be ready to elect another president that makes sense. (That's optimistic, we also usually re-elect the screw-ups as well as the decent ones.)

                                      1 Reply Last reply
                                      0
                                      • OriginalGriffO OriginalGriff

                                        This do it? Wave Adder[^] My Google query was "how to add waves graphically" and it was the 6th link.

                                        Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                        C Offline
                                        C Offline
                                        C P User 3
                                        wrote on last edited by
                                        #37

                                        Your find is perfect for adding two waves. Thank you. I am now on my own little quest to find some freeware/cheapware that will let me do the same thing with a bunch of functions, and then let me choose which graphs to add (e.g., *add graph "A" to graph "B", and graph "C", and draw the result as the target graph*, whatever). A wide across-the-screen strip would be cool. Graphing was always the sore point for me in math courses. Today's kids don't know how good they have it with mathematical graphing. Thirty minutes with DESMOS[^] and I made THIS GRAPH[^] which shows all the inputs, which is good. I also want to show my reader the output (i.e., the five waves added together as a single curve) I found THIS PAGE[^] which could keep me busy for months just evaluating the 118 possible suitors. Opinions / advice on these or others will be welcome.

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