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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
    #6

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

    X 1 Reply Last reply
    0
    • OriginalGriffO OriginalGriff

      Radians, not degrees, I think: try 3.1415

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

      C Offline
      C Offline
      C P User 3
      wrote on last edited by
      #7

      Bingo. OriginalGriff for president of the internet

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

        Bingo. OriginalGriff for president of the internet

        OriginalGriffO Offline
        OriginalGriffO Offline
        OriginalGriff
        wrote on last edited by
        #8

        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...

        "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

        Richard Andrew x64R K 2 Replies Last reply
        0
        • OriginalGriffO OriginalGriff

          Radians, not degrees, I think: try 3.1415

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

          S Offline
          S Offline
          Sascha Lefevre
          wrote on last edited by
          #9

          Strangely, neither. 360° ^= 2.06 or something thereabouts.

          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
          0
          • C C P User 3

            Will you check my numbers ? I just did... - Amplitude 7 - Frequency 3 - Phase (zero, then 180) The two graphs are not 180 degrees out of phase; looks like about 10 degrees.

            Kornfeld Eliyahu PeterK Offline
            Kornfeld Eliyahu PeterK Offline
            Kornfeld Eliyahu Peter
            wrote on last edited by
            #10

            Wikipedia:

            In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Therefore, in most branches of mathematics beyond practical geometry, angles are generally assumed to be expressed in radians.

            And that's the case in .NET or JavaScript and Java and PHP too...All except radians and not degrees...

            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

            K 1 Reply Last reply
            0
            • S Sascha Lefevre

              Strangely, neither. 360° ^= 2.06 or something thereabouts.

              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
              #11

              Works for me: Dropbox - waveAt0.png[^] Dropbox - waveAt0Added.png[^] Dropbox - waveAtPi.png[^] Dropbox - waveAtPiAdded.png[^]

              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

              C S 2 Replies Last reply
              0
              • OriginalGriffO OriginalGriff

                Works for me: Dropbox - waveAt0.png[^] Dropbox - waveAt0Added.png[^] Dropbox - waveAtPi.png[^] Dropbox - waveAtPiAdded.png[^]

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

                C Offline
                C Offline
                C P User 3
                wrote on last edited by
                #12

                Yes, now that I've learned how to click the "pi" button on Microsoft Calc, I'm home free.

                1 Reply Last reply
                0
                • OriginalGriffO OriginalGriff

                  Radians, not degrees, I think: try 3.1415

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

                  C Offline
                  C Offline
                  C P User 3
                  wrote on last edited by
                  #13

                  Bingo When I become the King of England, I will make you a knight.

                  1 Reply Last reply
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                  • OriginalGriffO OriginalGriff

                    Works for me: Dropbox - waveAt0.png[^] Dropbox - waveAt0Added.png[^] Dropbox - waveAtPi.png[^] Dropbox - waveAtPiAdded.png[^]

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

                    S Offline
                    S Offline
                    Sascha Lefevre
                    wrote on last edited by
                    #14

                    Looks like there's something weird going on with frequency and phase shift: Take 3.1415 as phase shift and then look at the graphs for the frequencies 1 and 2.. That 2.06 value I got with a frequency of 3: Look at phase shifts 0, 0.5, 1, 1.5, 2.06 ..

                    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
                    0
                    • C C P User 3

                      I am looking for a website which will allow me to add sine waves. Can someone tell me what question to ask Google ? I know several questions that ***don't*** work. I want to... - Input the frequency - Input the phase angle - Input the amplitude (nice to have, not required) - Click on a button - See the resulting wave form (save as PNG or whatever would be nice) These phrases and questions don't work... - *free online graphing tool to add two sine waves together - online graph, adding two sine waves together - add two sine waves together - add two sound waves together - Add two frequencies - Online Tone generator* Certainly I'm not the only guy on the internet who has ever wanted this. What question do I ask ? How do I phrase it ?

                      A Offline
                      A Offline
                      Amarnath S
                      wrote on last edited by
                      #15

                      IMHO, having the words - 'superpose', 'superposition' - may yield better results.

                      1 Reply Last reply
                      0
                      • S Sascha Lefevre

                        Looks like there's something weird going on with frequency and phase shift: Take 3.1415 as phase shift and then look at the graphs for the frequencies 1 and 2.. That 2.06 value I got with a frequency of 3: Look at phase shifts 0, 0.5, 1, 1.5, 2.06 ..

                        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
                        #16

                        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...

                        "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
                        • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                          Wikipedia:

                          In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Therefore, in most branches of mathematics beyond practical geometry, angles are generally assumed to be expressed in radians.

                          And that's the case in .NET or JavaScript and Java and PHP too...All except radians and not degrees...

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

                          K Offline
                          K Offline
                          Kenneth Haugland
                          wrote on last edited by
                          #17

                          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 Kornfeld Eliyahu PeterK L 3 Replies Last reply
                          0
                          • C C P User 3

                            I am looking for a website which will allow me to add sine waves. Can someone tell me what question to ask Google ? I know several questions that ***don't*** work. I want to... - Input the frequency - Input the phase angle - Input the amplitude (nice to have, not required) - Click on a button - See the resulting wave form (save as PNG or whatever would be nice) These phrases and questions don't work... - *free online graphing tool to add two sine waves together - online graph, adding two sine waves together - add two sine waves together - add two sound waves together - Add two frequencies - Online Tone generator* Certainly I'm not the only guy on the internet who has ever wanted this. What question do I ask ? How do I phrase it ?

                            K Offline
                            K Offline
                            Kenneth Haugland
                            wrote on last edited by
                            #18

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

                            C 1 Reply Last reply
                            0
                            • 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
                                    0
                                    • 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
                                      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.

                                        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
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