## CHECK THESE SAMPLES OF Applications of the Equations of Motion

...?Linear **Equations**: Linear **equation**, an important concept in algebra was invented by Rane Descartes. Descartes was born in 1596 in France. He studied mathematics from the book of Culvius. Linear algebra was followed by the development of determinants in 1693 and Cramer presented his theory to solve systems of linear **equations** in 1750. Dependent and Independent Variables analysis started developing thereafter. Linear models formation was naturally a next step further for the solution of several real life issues. (A Brief History) Linear **equation** concept gave birth to the dependent and independent variables. Linear **equation** shows a relationship between two...

3 Pages(750 words)Research Paper

...?**Application** of Chaos Theory in the Differential **Equations** **Application** of Chaos Theory in the Differential **Equations** Introduction The chaos theory in the finite dimensional dynamical systems is known to exist and it includes or leads to the development of discrete systems and maps of the ordinary differential **equations**. This theory has led to profound mathematical theorems that have numerous **applications** in different fields including chemistry, biology, physics, and engineering among other fields or professions (Wasow, 2002). However, the chaos theory of the partial differential **equations** has never been well-developed...

8 Pages(2000 words)Essay

... and the particle, and w represents the angular velocity of the rolling object. Mechanical energy of a rolling object can be defined as kinetic energy plus potential energy in the system of an object. For mechanical energy to be conserved, the sum of kinetic and potential energies within the system should always remain constant especially when the object is only affected (Adams. 2008) by conservative forces. For uniform acceleration to occur, the **equations** that would describe the object’s **motion** include: V= u +at ............................................................................................................................(2) S= ?(u+ v) t... ...

7 Pages(1750 words)Essay

...? **Equation** of **motion**: Simple Harmonic **Motion** Objectives of the experiment. The main objectives of this experiment include: To construct simple pendulums, and find their periods. To generate values for (Ag) the free fall acceleration. To evaluate the relationships between length and period for different pendulums. Introduction. Simple harmonic **motion** involves an oscillating **motion** where by the restoring force is proportional to the displacement. When a system is set in a to and fro **motion**, a periodic **motion** is produced. This is referred to as vibration. When a body is at rest, it is said to be at its equilibrium position....

7 Pages(1750 words)Essay

...In this project, Bluman (2004, p. 331) challenged students to examine an **equation**, x2 – x + 41, which purportedly yields prime numbers. Students choose numbers to substitute to x in the formula and observe if prime numbers occur. An added challenge was to venture into finding a number, which when substituted in the given **equation**, will result in a composite number.
It is presupposed that a prime number is one whose factors are itself and 1, is common knowledge. On the other hand, a composite number may not be that much of a common knowledge. A definition is thus, provided: a composite number is “any whole number greater than one that is not a prime number … [it] always has at least one divisor other...

4 Pages(1000 words)Assignment

...**Applications** of Newton’s Laws of **Motion** – Measurement of the acceleration due to gravity g using gym weights Introduction and Principle Newton’s **equations** of **motion** form the basis of all engineering and constitute the quantitative framework of Newton’s laws of **motion**. If a body with initial velocity u undergoes uniform acceleration a and covers a distance s in the time t,
Where v is the final velocity.
When applied to rotating bodies, these **equations** undergo a change of terms. The terms corresponding to distance, velocity, acceleration and force, change respectively to angle, angular velocity, angular acceleration and torque. Mass is...

5 Pages(1250 words)Book Report/Review

...**Applications** of Laws of **Motion** – Projectile **Motion** Introduction The aim of this project is to design an experiment that will test and vali the concepts of Newton’s **equation** of **motion**, conservation of energy and rotational **motion**. These principles form the basics of all of physics and applied engineering. In this experiment, all the three concepts are applied in deriving the final position of a steel ball ejected as a projectile through an inclined tube; leading to not only greater understanding of the concepts but also a more holistic approach to engineering as none of these concepts occur in isolation in real life.
Principles...

5 Pages(1250 words)Book Report/Review

...Introduction In this experiment the moment of inertia of a solid disk was determined by studying and analyzing the dynamics of a rotating disk when a constant torque was applied to it. From it, it should be evident that the value of moment of inertia calculated experimentally is equal
to the theoretical value within experimental error. Furthermore, the conservation of
Mechanical energy in rotational **motion** was studied and also the effect of any non-conservative
Forces on the **motion** were investigated, reduced and compensated.
The **equations** of **motion** are used to describe the movement in a straight line that is in uniform acceleration. There are three...

10 Pages(2500 words)Assignment

...Can you think of examples of processes that could be modeled with quadratic **equations**? In the real world, ‘Quadratic **Equations**’ can prove useful in a number of ways as –
(1) Modeling costs for a general store –
In C(x) = -0.03x2 + 57x + 310, for instance, the independent variable ‘x’ may refer to the number of materials bought which a store needs in order to produce sellable items. These materials are worth the variable cost C(x) with fixed cost of $310. Since the parabolic curve opens downward, as characterized by the negative leading coefficient, one manages to determine that a maximum cost is reached when x = -57/[ 2(-0.03) ]. The cost may be predicted to decline once the store decides to...

1 Pages(250 words)Assignment

...s Post-Laboratory Assignment Molecular and ionic **equations** Step1 Molecular **equation** Cu(s)+4NHO3 (aq) Cu(NO3)2 (aq)+2NO2 (g)+2H2O (g)
Ironic **equation**
Cu(s)+4H+(aq)+4NO3-(aq) Cu2+(aq)+2NO3-(aq)+ 2N3+(aq)+4O2-(aq)+ 2H2O (g)
Step 2
Molecular **equation**
Cu(NO3)2 (aq)+2NaOH(aq) Cu(OH)2 (s)+2NaNO3 (aq)
Ionic **equation**
Cu2+(aq)+ 2NO3-(aq)+2Na+(aq)+2OH-(aq) Cu2+(aq)+ 2OH-(aq)+2 Na+(aq)+ 2NO3-(aq)
Step 3
Molecular **equation**
Cu(OH)2 (s) CuO(s) +H2O(g)
Ionic **equation**
Cu2+(aq)+ 2OH-(aq) Cu2+(aq)+O2-+ H2O(g)
Step...

1 Pages(250 words)Assignment