# Essay on The Equation Of The Ball Thrown By The Robotic Arm Stand

767 Words Oct 26th, 2015 4 Pages
In this lab we will explain how to deduce the equation landing position of the ball thrown by the robotic arm stand. We must create the equations in terms of the radius, height, arm rotation speed, and release angle. The equations must be made with those variables because, those variables are what can change where the ball will land in the cup, and will make the equation more useful to the client. To make sure the equation will remain accurate we have to keep track of all the units throughout the process. Knowing that all equations should be solved in terms of the variables we can create an equation according to those variables starting with time.

Since k equals the rotations per minute k will be the measurement of radians divided by the time it takes for the arm to arrive at that radian. The angular postion of an equation is therefore equal to 2*pi*k*t+ initial angular position. Since we also know that time and radians both equal zero initially, we determine that the angular position, which we will call @t, equals (2pi)*k*t. The variable t stands for time and 2pi is multiplied by k to represent that k is in term of rotations.

Next, we move on to finding the position of the ball on the circle. This is a necessary step in finding the initial velocity and position of the ball when it is launched. Using the rules shown in step 2 of example work we take the sine and cosine of the angle and use the property of proportions to cross multiply and to show what x and y equal. Those…

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