After our fourth progress meeting, we are gonna switch to our fourth and highest gear. (one piece reference!!)
When the 1K (1000 Ohm) variable resistor has a analog value (effectively the voltage measured by resistance) that increases by 1, when used in combination with the 12 bit Arduino Due, it means that the angle of our arm will have increased by ~300/4096 = 0.0732 degrees. We remove 1 bit for noise, which means ~300/2048 = 0.146 degrees When our first arm is raised by 1cm, the angle between support tower and first arm, and hence the angle of the variable resistor is about 0.75 degrees. Hence, the resolution of 1cm movement is 0.75/0.146 = 5.136. So when the height of the arm increases by 1cm, the analog value will increase by ~5. Therefore, the 1K variable resistor and 12-bit Arduino Due combination is enough for our application on the first arm.