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  3. How to calibrate a gauge sensor

How to calibrate a gauge sensor

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gaugecalibraterain gaugerainfall
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  • P pierrot10

    Hello all!
    I am checking gauge sensor value and it looks like the values are wrong.
    I followed that example:.

    I have the same gauge and the bunket should be 0.2794mm of water and my mico controller count the number if tips within one hour. Si I supposed, if the bunket tips one, we can say there were 0.2794mm/h of rain.

    I also red that 1mm/h is egal of 1 liter for 1m2 of surface.

    Yesterday, I took a bottle and I filled it up of 1 liter of water and I empty the bottle on my gauge, and I counted the number of tips: 353 tips. (I may have missed 2 or 4 tips).

    So now if I make the calcul

    353x * 0.2794mm = 98.62mm/h
    

    (if i poured 1 liter of water, I should get 0.9862 as 1mm/h is egal of 1 liter).

    If I want to know the size of my bunket, I can calculate, for 1 liter of water I poured (let's take the same number as before 0.9862 istead of 1)

    0.9862mm/h / 353 = 0.002794
    

    Si I can observed that the tutorial may be wrong and the size of the bunket should be 0.002794 instead of 0.2794, BUT I oft obeserved the value of 0.2794

    Or I missunderstanded something, could you enlighten me?

    Secondely, my micro controller count the tips and the the amount of tips within one hour and simply make the calcul:

    [amount of tips]*0.2794=rainfall
    

    the returned value is 13.08
    (in my code I make a small mistake, I inversed 7 and 9 : 0.2974 but it does not make a big difference, I corrected it)

    353*0.2974=104.98
    

    and not 13.08

    but it's interesting to see, if I moved the coma we have 103.8. I wunder I make a mistake of decimal and unit.

    (I also will later double check my gauge in order to make sure that it count correctly)

    Could you unlighten me about to understand and calibrate my gauge?

    Many thank
    Cheers

    mfalkviddM Offline
    mfalkviddM Offline
    mfalkvidd
    Mod
    wrote on last edited by mfalkvidd
    #2

    @pierrot10 is the bucket really 1x1m big?

    1 liter rain over 1m2 would spread the water equally over 1m2. If the bucket atea, as seen from above, is smaller than 1m2, some (a lot) of that liter will end up outside the bucket.

    My guess is that the area of the bucket is 0.01m2. If that’s the case, the measurement is correct.

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    • P Offline
      P Offline
      pierrot10
      wrote on last edited by
      #3

      @mfalkvidd
      Hello, thank for your reply. Si let make sure I do not confuse people with my bad english

      For my the bucket is the "tings" which toogle at the right side of the picture:
      alt text

      Should I consider the area of the "funnel" at left side of the picture?

      You wrote:
      My guess is that the area of the bucket is 0.01m2
      if the area of the bucket is well the "things" that toogle, this evening, I will check the width and the length of my bucket and make sure is make 10mm2, but I have a doubt

      alt text

      the width (yellow) make at less 10mm and the length should be about 60mm

      0.01m*0.06m=0.0006m2
      

      :upside_down_face:

      mfalkviddM zboblamontZ 2 Replies Last reply
      1
      • P pierrot10

        @mfalkvidd
        Hello, thank for your reply. Si let make sure I do not confuse people with my bad english

        For my the bucket is the "tings" which toogle at the right side of the picture:
        alt text

        Should I consider the area of the "funnel" at left side of the picture?

        You wrote:
        My guess is that the area of the bucket is 0.01m2
        if the area of the bucket is well the "things" that toogle, this evening, I will check the width and the length of my bucket and make sure is make 10mm2, but I have a doubt

        alt text

        the width (yellow) make at less 10mm and the length should be about 60mm

        0.01m*0.06m=0.0006m2
        

        :upside_down_face:

        mfalkviddM Offline
        mfalkviddM Offline
        mfalkvidd
        Mod
        wrote on last edited by mfalkvidd
        #4

        @pierrot10 when rain falls, it will hit the area of the funnel above the bucket, not the area of the bucket itself. So you're correct that you should calculate the area of the top of the funnel.

        P 1 Reply Last reply
        0
        • P pierrot10

          @mfalkvidd
          Hello, thank for your reply. Si let make sure I do not confuse people with my bad english

          For my the bucket is the "tings" which toogle at the right side of the picture:
          alt text

          Should I consider the area of the "funnel" at left side of the picture?

          You wrote:
          My guess is that the area of the bucket is 0.01m2
          if the area of the bucket is well the "things" that toogle, this evening, I will check the width and the length of my bucket and make sure is make 10mm2, but I have a doubt

          alt text

          the width (yellow) make at less 10mm and the length should be about 60mm

          0.01m*0.06m=0.0006m2
          

          :upside_down_face:

          zboblamontZ Offline
          zboblamontZ Offline
          zboblamont
          wrote on last edited by
          #5

          @pierrot10 Flawed mathematics, 0.01m2 is not 10mm2 but 10,000mm2....

          1 Reply Last reply
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          • mfalkviddM mfalkvidd

            @pierrot10 when rain falls, it will hit the area of the funnel above the bucket, not the area of the bucket itself. So you're correct that you should calculate the area of the top of the funnel.

            P Offline
            P Offline
            pierrot10
            wrote on last edited by pierrot10
            #6

            @mfalkvidd
            Thank for your reply, but something is interreting to me. If the funnel area is twice bigger and the bucket is the same, what will it change? the bucket will toggle when it will get 0.2794mm of water, specially if the hole the funnel has the same diameter. Am I wrong?
            If the diamter is bigger, the buncket will toggle faster.

            mfalkviddM 1 Reply Last reply
            0
            • P pierrot10

              @mfalkvidd
              Thank for your reply, but something is interreting to me. If the funnel area is twice bigger and the bucket is the same, what will it change? the bucket will toggle when it will get 0.2794mm of water, specially if the hole the funnel has the same diameter. Am I wrong?
              If the diamter is bigger, the buncket will toggle faster.

              mfalkviddM Offline
              mfalkviddM Offline
              mfalkvidd
              Mod
              wrote on last edited by
              #7

              @pierrot10 the bucket will tip based on a volume (or technically weight, but that is almost the same thing) of water, not based on a distance.

              Lest's say it is raining 1mm/h.

              With the current funnel, the bucket will tip x times.
              If you had a funnel that was twice as big (area, as seen from above), the bucket would tip x * 2 times, since the funnel would be collecting water twice as fast.

              P 1 Reply Last reply
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              • mfalkviddM mfalkvidd

                @pierrot10 the bucket will tip based on a volume (or technically weight, but that is almost the same thing) of water, not based on a distance.

                Lest's say it is raining 1mm/h.

                With the current funnel, the bucket will tip x times.
                If you had a funnel that was twice as big (area, as seen from above), the bucket would tip x * 2 times, since the funnel would be collecting water twice as fast.

                P Offline
                P Offline
                pierrot10
                wrote on last edited by pierrot10
                #8

                @mfalkvidd Ok, but if the diameter of the hole of the funnel does not change, dot it really make a difflrence?

                What is unclear for me,

                • I which to display the result in mm/h.
                • If I full up 1 liter of water into a bottle, I got about 353 toggles.
                • If divide 1000ml by 353 I get 2.832mm

                Let's say, I wrongly counted the tips of the buncket (I may missed 2or 4 tips over 353) and there were 358 tips then

                1000/358=2.793 => 2.794
                

                Are you agree with my reasoning?

                Should I conclude that bucket is 2.794 and not 0.2794?

                BUT, I oft read this

                The rain gauge is a self-emptying 
                tipping bucket type.  Each 0.011” 
                (0.2794 mm) of rain causes one mo
                mentary contact closure that can 
                be recorded with a digital counter or
                 microcontroller interrupt input
                

                I am a bit frustrated because I oft read the number of 0.2794 and I have the same gauge meter as the above picture.

                Then if within one hour, my bucket tips 358 time because I poured 1 liter of water, the calcul is

                358*0.2794mm=100.02mm/h
                

                BUT, 1mm/h is egal to 1liter of water (for 1m2)

                So I guess my problem is a mathematical issue :sweat_smile: , or conversion. Isn't? I missed something :fearful:

                If I make an error of conversion and specially, if I forget to take in consideration the area of the funnel surface.

                I am bit confuse :)

                I am not at home yet, and I can not calculate the surface of my funnel yet but I will do as soon as possible (it should be around 50mm*110mm=5500mm2)

                P 1 Reply Last reply
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                • P pierrot10

                  @mfalkvidd Ok, but if the diameter of the hole of the funnel does not change, dot it really make a difflrence?

                  What is unclear for me,

                  • I which to display the result in mm/h.
                  • If I full up 1 liter of water into a bottle, I got about 353 toggles.
                  • If divide 1000ml by 353 I get 2.832mm

                  Let's say, I wrongly counted the tips of the buncket (I may missed 2or 4 tips over 353) and there were 358 tips then

                  1000/358=2.793 => 2.794
                  

                  Are you agree with my reasoning?

                  Should I conclude that bucket is 2.794 and not 0.2794?

                  BUT, I oft read this

                  The rain gauge is a self-emptying 
                  tipping bucket type.  Each 0.011” 
                  (0.2794 mm) of rain causes one mo
                  mentary contact closure that can 
                  be recorded with a digital counter or
                   microcontroller interrupt input
                  

                  I am a bit frustrated because I oft read the number of 0.2794 and I have the same gauge meter as the above picture.

                  Then if within one hour, my bucket tips 358 time because I poured 1 liter of water, the calcul is

                  358*0.2794mm=100.02mm/h
                  

                  BUT, 1mm/h is egal to 1liter of water (for 1m2)

                  So I guess my problem is a mathematical issue :sweat_smile: , or conversion. Isn't? I missed something :fearful:

                  If I make an error of conversion and specially, if I forget to take in consideration the area of the funnel surface.

                  I am bit confuse :)

                  I am not at home yet, and I can not calculate the surface of my funnel yet but I will do as soon as possible (it should be around 50mm*110mm=5500mm2)

                  P Offline
                  P Offline
                  pierrot10
                  wrote on last edited by pierrot10
                  #9

                  @pierrot10 Other stupid question, does 1liter of water from a bottle, will cover 1m2 of surface with a high of 1mm?

                  I red, 1mm/h is egal to 1liter over 1m2 with a high of 1mm

                  For sure, I missundertand something :confounded:

                  mfalkviddM 1 Reply Last reply
                  0
                  • P pierrot10

                    @pierrot10 Other stupid question, does 1liter of water from a bottle, will cover 1m2 of surface with a high of 1mm?

                    I red, 1mm/h is egal to 1liter over 1m2 with a high of 1mm

                    For sure, I missundertand something :confounded:

                    mfalkviddM Offline
                    mfalkviddM Offline
                    mfalkvidd
                    Mod
                    wrote on last edited by mfalkvidd
                    #10

                    @pierrot10 yes, one litre spread evenly over 1m2 will equal 1mm height.

                    But you're not spreading that litre equally over 1m2. You are pouring everything into the funnel, right?

                    If you take a regular drinking glass and pour 1 litre into it, will the height of the water in the glass be 1mm?

                    P 1 Reply Last reply
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                    • bgunnarbB Offline
                      bgunnarbB Offline
                      bgunnarb
                      wrote on last edited by
                      #11

                      @pierrot10
                      Since I am using almost the same tipping bucket rain gauge, let me try to explain how it works:

                      The top of my funnel measures 109 x 49 mm = 5341 mm2 (square millimeters). For now, let us not worry about the rounded corners of the funnel.
                      If it rains 1 mm the funnel will collect 5341 mm3 (cubic millimeters) which is 5,341 cubic centimeters equal to 5,34 milliliters. This is difficult to use for calibration so let's try with 10 mm of rain which then equals 53,4 milliliters or 0,53 deciliters of water.

                      So, you pour 53,4 milliliters of water into the funnel, not spilling any and you count the number of bucket tips. In my example, when I do this, the bucket tips 30 times. So if the bucket tips 30 times during a time period, it has rained 10 mm during that time. Or, the other way around: One tip of the bucket = 10/30 = 0,33 mm of rain.

                      Do not worry about the size of the bucket inside. What matters is how many times the bucket tips for a given amount of water. It is the area of the funnel which is important.
                      When it rains 1 mm an area of one square meter will receive 1 liter of water but the little funnel will only receive 5,34 milliliters as explained above.

                      Now, if you really want to be accurate, you should take away the area of the rounded corners. But that will be less than 0,5% and there are other sources of inaccuracy.

                      I have never been so busy since I retired!

                      1 Reply Last reply
                      2
                      • mfalkviddM mfalkvidd

                        @pierrot10 yes, one litre spread evenly over 1m2 will equal 1mm height.

                        But you're not spreading that litre equally over 1m2. You are pouring everything into the funnel, right?

                        If you take a regular drinking glass and pour 1 litre into it, will the height of the water in the glass be 1mm?

                        P Offline
                        P Offline
                        pierrot10
                        wrote on last edited by pierrot10
                        #12

                        @mfalkvidd said in How to calibrate a gauge sensor:

                        You are pouring everything into the funnel, right?

                        Hello, yes that right, I poured the litre from my bottle into the funnel.

                        If you take a regular drinking glass and pour 1 litre into it, will the height of the water in the glass be 1mm?

                        Yes, of course, that make sense!

                        I forgetten, but my 3 gauge are in the filed and I can neasure the area surface, unfortunately, but let's say, it 0.05m*0.11m = 0.0055m2 or 55000mm2. I do have the same as below
                        alt text

                        So in my case, each tips will be egal to
                        0.2794mm of high over 0.0055m2 of surface

                        If I know I need 358 tips for 1 liter of water (is egal of 1mm over 1m2) within 1 hour. How can I make sure that 0.2794mm is the correct value of my bucket?

                        0.2794*358=100.02mm/h
                        

                        But 100.02mm/h is over 0.0055m2 of surface.

                        But how can I calculate the high if I poured the same amount of water in 1m2
                        It should be 1mm because we know that 1 liter over 1m2 has a hight of 1mm

                        But how calculate it in order to make sure that 0.2794 is the correct value of the bucket?

                        P 1 Reply Last reply
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                        • P pierrot10

                          @mfalkvidd said in How to calibrate a gauge sensor:

                          You are pouring everything into the funnel, right?

                          Hello, yes that right, I poured the litre from my bottle into the funnel.

                          If you take a regular drinking glass and pour 1 litre into it, will the height of the water in the glass be 1mm?

                          Yes, of course, that make sense!

                          I forgetten, but my 3 gauge are in the filed and I can neasure the area surface, unfortunately, but let's say, it 0.05m*0.11m = 0.0055m2 or 55000mm2. I do have the same as below
                          alt text

                          So in my case, each tips will be egal to
                          0.2794mm of high over 0.0055m2 of surface

                          If I know I need 358 tips for 1 liter of water (is egal of 1mm over 1m2) within 1 hour. How can I make sure that 0.2794mm is the correct value of my bucket?

                          0.2794*358=100.02mm/h
                          

                          But 100.02mm/h is over 0.0055m2 of surface.

                          But how can I calculate the high if I poured the same amount of water in 1m2
                          It should be 1mm because we know that 1 liter over 1m2 has a hight of 1mm

                          But how calculate it in order to make sure that 0.2794 is the correct value of the bucket?

                          P Offline
                          P Offline
                          pierrot10
                          wrote on last edited by pierrot10
                          #13

                          @pierrot10
                          I make easier. If one liter make 358 tips. One bucket has a value of 2.7932

                          rain fall [mm/h] = 2.7932 * nb of tips
                          
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                          • bgunnarbB Offline
                            bgunnarbB Offline
                            bgunnarb
                            wrote on last edited by
                            #14

                            @pierrot10
                            1 mm of rain over 1 square meter is 1 liter of water. Correct!
                            One liter makes 358 tips so one tip is then 2,7932 milliliters that is correct.
                            But rainfall mm/hr is 2,7932 * nbr of tips only if the area of the funnel is 1 square meter.

                            Your funnel is only 55 square centimeters so you will only collect 55/10000 of the rain that falls on the whole square meter.

                            The example you are using at the top of your post does not have the size of the funnel anywhere in the code.

                            I have never been so busy since I retired!

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