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…
The purpose of this experiment is to investigate the ionic basis of the neuron’s resting membrane potential (Vm). We examine how this potential is affected by potassium ion [K+] concentration and permeability using Orconectes rusticus crayfish abdominal muscles, and we ask whether or not the Nernst Equation solely based on [K+] can also predict the cell’s resting membrane potential. We predicted that [K+] concentration had a significant influence on the membrane potential and thus the Nernst…
In a chemical equation, there are the reactants, which is the part that is changed, and the products, which is what is left over. The reactant side and the product side must have the same quantity of each element. If they do not, the equation must be balanced by using coefficients. Mole ratios can be found by using these coefficients. Mole ratios are conversion factors and can be used to found the amounts of the reactants and the products in a chemical reaction. These can also be used to find…
Interstellar Consequences The numbers calculate and recalculate relentlessly; factoring in the mass of the ship, its cargo, the precise weight of the single pilot, and the velocity in which the vessel will travel. They take no time to consider that an unforeseen variable could spiral into the equation. The algorithm developed to produce their answer leaves no room for error, after-all it is a formula birthed by the forces that keep planets spinning and maintain gravitational pressure, human…
were a way for professors around the world to teach their classes online for free. Like most others, my thoughts on online education mostly revolved around second-rate scams and suspicious for-profit institutions (I’m looking at you, DeVry). However, curiosity got ahold of me, and I quickly signed up for several courses. As it turned out, these courses were structured similarly to college classes; they consisted of weekly video lectures and a forum for collaboration between the tens…
M is the resultant internal bending moment calculated about the neutral axis of the cross section, y in this case is the thickness of the beam divided by two, and I is the moment of inertia of the cross-sectional area about the neutral axis [4]. The final equation is, Equation 5 is utilized to calculate the deflection δ of the cantilevered beam at x = L when a load is applied at a point. Since we would not applying a specific load but knowing the displacement we solved this equation for P. There…
This is where they began to know a little about each other and how they all got in to Princeton. After meeting and taking to one another Nash starts to walk to his dorm. As John got to his dorm, he looks around and decides to move his desk to the window. Then a guy name Charles Herman walks into the dorm and introduce himself as his roommate. Charles came in the dorm like he was some kind of a drunk person but he was not drunk. After that, John started to write mathematical equation on his…
Kwong equations are mainly used as they are simple and a temperature-dependent correction is used for EOS constant A. van der Waals Equation van der Waals proposed the first cubic EOS in 1873. The van der Waals EOS gives a simple, qualitatively accurate relation between pressure, temperature, and molar volume. P=RT/(V-b)-a/V^2 where a is “attraction” parameter, b is “repulsion” parameter, and R is universal gas constant. Comparing this equation with the ideal gas law,P= zRT/v, we see that the…
Equation of trendline 1 calculation: m= rise/run = 12/15 = 0.8 c= 5.9 y= 0.8x + 5.9 Equation of trendline 2 calculation: m= rise/run = 25/45 = 0.5 c= 17.6 y= 0.5x +17.6 Point of intersection: Equate both trendlines to find point of intersection 0.8x + 5.9 = 0.5x + 17.6 x= 39 Since x=39, x2= 9 as x2 represents x in descending order. R2: R2 for trendline 1 = 0.98 Correlation coefficient for trendline 1= 0.96 R2 for trendline 2 = 0.98 Correlation coefficient for trendline 2= -0.99 Ratio…
When I look at the food that I consumed for Friday night, I have realized that my diet contains few vegetables and fruits. Furthermore, I did not take any dairy food. When I went to Choose My Plate website, I entered my age: 21, height: 156 cm, weight: 48 kg, and exercise 40-60 minutes a day. According to this website, it suggests that I intake 2000 calories per day. My dairy food plan recommends that I have 6 ounces of grains, 2.5 cups of vegetables, 2 cups of fruits, 3 cups of dairy, and 5.5…