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Math Help - Find the volume of liquid when the tank isn't level

  1. #1
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    Find the volume of liquid when the tank isn't level

    Hello, I don't know if I am in the right forum but, my question is this. I am using a float to measure the amount of oil in a tank. The thank is in the shape of an obround. It holds around 275 gallon and the dimensions are approximations width a depth of 48", height = 70", Length 60". It works fine. I need to find out the amount of oil if the tank isn't level on the x or y or both x and y axis. The sensor can be located anywhere along the apex of the tank. The float is a ball tether to take up reel attached to this take up reel which in turn is attached to gear. A hall effect sensor sends a pulse to a microprocessor each time a tooth from the gear passes, when the liquid increases or decreases. When the tank is level I can calculate the volume. Using r^2arcCos((r-h)/r)-(r-h)sqrt(2*r*h-h^2) were r = radius and h is height from the bottom of the semicircle to the liquid if it falls below the semicircle. I think I am out of depth on this. I'm in my mid fifty's and math never came easy to me.So any help in any way would appreciated. Does
    anyone have a formula for this? The attached drawing may help.

    Thank you for any and all help,

    Ken

    P.S. I have two sensors, One X and one Y
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  2. #2
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    Re: Find the volume of liquid when the tank isn't level

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    Re: Find the volume of liquid when the tank isn't level

    skeeter, Should I delete the post in in the trigonometry forum and leave it in the geometry forum or leave it in trigonometry forum and delete it in the geometry forum?
    I am new to this.

    Thank for your help,

    Ken
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  4. #4
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    Re: Find the volume of liquid when the tank isn't level

    leave the first one.
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  5. #5
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    Re: Find the volume of liquid when the tank isn't level

    Hello,

    To expand on this question, . I built a level sensor. I am looking for a formula that will give me the volume of the tank if the tank isn't level. Let me explain what I have. The way it works is this.
    The sensor has a float tethered to a take up spool. the spool has a gear attached to it so as the float risers or lowers a hall effect sensor counts the number of teeth that pass. This number is then passed on to a microprocessor. And from the count I can now determine the volume in the tank if the tank is level. In the sensor I have two accelerometers, one for the X axis and one for the Z axis. These will give me the amount the tank is off level in degrees in both directions. The formula I am looking for is to find out the actual volume in the tank. I've attached a PDF drawing in a previous post that may help in what I am trying to do. If anyone can't help me or point me in the right direction, I would be most appreciative.

    Best regards,

    Ken
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