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…
We, the students of Professor Bart Goddard’s Differential Equations class (M 427J), are writing to you about a recent incident for which he is at risk of losing his position in the university. During the 12:00 PM class on Wednesday, February 22, 2017, Professor Goddard told a cautionary tale about how, in the Holocaust, Nazi engineers used lime to prevent blood from ruining the train tracks of the trains carrying the Jews to the camps, calling on the engineering students in the audience to…
In the short story “The Cold Equations” by Tom Godwin the main point was to never do something that you shouldn't be doing because it can end in a very different way than you intended it to. In the short story “The Cold Equations” by Tom Godwin the main character gets on a spacecraft although she is not supposed to. When she does this she gives herself up and comes out and tells the guy why she came on the ship. The main reason she came on the ship was to see her brother because she hadn't seen…
As children, short stories told the tales of malevolent beasts guarding mountains of gold or of a damsel locked away from society only to be freed by her one true love, however, as the clock turns hours to days and days to years, details begin to protrude, warping the facade of childhood stories to their true state, presenting anything but a happy ending. Such stories are presented as Popular Mechanics by Raymond Carver, The Cold Equations by Tom Godwin, and This Year’s Class Picture by Dan…
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…
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…
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…