Water consumption, energy consumption and velocity

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The window cleaning robot is supplied with water by means of a water tank, and the capacity of the water tank is supposed to be sufficient to be able to clean a window without interruptions.

There are a few decisions and assumptions that had to be made in order to model the water consumption. The water consumption of the robot for a time step is taken to be 1/8640 L/s. This specific value for the water consumption is determined by looking at the amount of water a window washer uses per hour, together with the cleaning speed in terms of area per hour. According to an experienced window washer, the average cleaning speed is 50 m2/hr. In Moon’s analysis, it is given that five window cleaners cleaned a surface of 626.4m2 in 2 hours including preparation time and intermission time. This would mean that a single window cleaner would clean approximately 60 m2/hr. Given this number, the water consumption becomes 5/12 L/hr and thus 1/8640 L/s. Note that these numbers are of course fairly dependent on the size, height and difficulty level of the window, but for modeling purpose, the average seems to be a plausible choice.