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Articles 1 - 14 of 14
Full-Text Articles in Physical Sciences and Mathematics
Area Of Irregular Shaped Roof, Omar Alkhawaldeh
Area Of Irregular Shaped Roof, Omar Alkhawaldeh
Undergraduate Journal of Mathematical Modeling: One + Two
This project makes use of calculus, specifically integration, to find the exact area of a roof garden to minimize the cost of material used in flooring it. Since the roof is of irregular shape, it is divided into four sections, the integral of each section is taken, and a relationship between the integrals is generated. Positive results are found, and the data reveal that the area of the grass floor is 175.3 m2 while the area of the wooden floor is 23.4 m2 with the total price being 2472 US dollars.
Using Calculus To Plan An Open-Air Concert, Timur Kalandarov
Using Calculus To Plan An Open-Air Concert, Timur Kalandarov
Undergraduate Journal of Mathematical Modeling: One + Two
A concert is a mass entertainment event held indoors, at concert halls, or outdoors (open-air festivals). These two formats differ greatly from each other. However, the goal of both events remains the same – to allow the audience to enjoy the musical performance. Indoor halls are designed for the best acoustics of sound. They are often circular and let sound waves travel around the inside of the building, like an echo bouncing back and forth. This makes the audience feel like they are surrounded by sound. Such places already have outlined spots for mounting music equipment with the highest efficiency. …
The Dangers Of Lift On Parked Planes: General Aviation Airport Safety, Robert Malloy
The Dangers Of Lift On Parked Planes: General Aviation Airport Safety, Robert Malloy
Undergraduate Journal of Mathematical Modeling: One + Two
The focus of this paper is to investigate proper aircraft management for safety on an airfield. This is accomplished by looking at lift caused by powerful winds to the aircrafts stored on an airfield, and the tension it places on the rope that secures them. This work could be used to determine when aircrafts are in high-risk and need to be stored either in hangars or moved to other airports prior to storms. The calculations used to determine these conclusions are also explored in the paper.
Mathematical Reconstruction Of A Traffic Crash, Benjamin Covert
Mathematical Reconstruction Of A Traffic Crash, Benjamin Covert
Undergraduate Journal of Mathematical Modeling: One + Two
The objective is to find the impact speeds of two motor vehicles involved in a traffic crash. The calculations take into account the approach (pre-collision) and departure (post collision) angles, as well as weights and post collision speeds of both vehicles. The data is provided by Timothy Sleyzack who investigated this traffic collision. The conclusions confirm the validity of the use of Conservation of Linear Momentum in the field of traffic crash reconstruction.
Calculating Probable Theoretical Offspring Genotype In Fruit Flies, Megan Keller
Calculating Probable Theoretical Offspring Genotype In Fruit Flies, Megan Keller
Undergraduate Journal of Mathematical Modeling: One + Two
Being able to calculate an offspring's theoretical genotype is critical in genetic sciences. We calculate the theoretical genotype and phenotype of fruit fly offspring. Using the product rule, we determine the probability for each trait and then for each genotype. In conclusion, we calculate 64 different genotypes that are supposed to be possible, but only 8 phenotypes are possible.
Emergency Communications Deficiency Locator, Austin Collins
Emergency Communications Deficiency Locator, Austin Collins
Undergraduate Journal of Mathematical Modeling: One + Two
The Bi-Directional Amplifier (BDA) is the newest edition to Life Safety in the state of Florida. The Florida Fire Prevention Code (NFPA 1) section 11.10.1 states that “In all new and existing buildings, minimum radio signal strength for fire department communications shall be maintained at a level determined by the authority having jurisdiction (Committee NFPA 1: Fire Code 2018). That authority having jurisdiction for our local Tampa Bay area is the Hillsborough County Fire Rescue department and they have posted their own requirements along with the Florida Senate for emergency communication standards. All existing “Hi-rise” buildings, 75 feet tall …
Analyzing Piney Point’S Wastewater Discharge Rate, Josephina Reyman
Analyzing Piney Point’S Wastewater Discharge Rate, Josephina Reyman
Undergraduate Journal of Mathematical Modeling: One + Two
Implicit differentiation is used in order to find the cubic feet of water dumped into Tampa Bay per hour from the Piney Point reservoir. To get to moles from cubic feet, a series of conversions is done while Le Chatelier’s principle explains how an increase in HPO4 2- (hydrogen phosphate) in Tampa Bay is going to affect algae growth. The rate of moles of HPO4 2- is analyzed as well as the consequences that come with dumping copious amounts of fertilizer water into an aquatic environment.
Evaluating The Improvement In Dna Fingerprinting, Dani Dray
Evaluating The Improvement In Dna Fingerprinting, Dani Dray
Undergraduate Journal of Mathematical Modeling: One + Two
DNA fingerprinting is a forensic technique used to create patterns that are unique to a person’s DNA. Previously, these fingerprints were made from 13 different segments of DNA, but today they are made from the 20 ones. The fundamental principle of counting is used to determine how much of an improvement was made after adding the 7 additional DNA segments. It is found that this addition greatly reduces the likelihood of two people having the same exact fingerprint, therefore improving the accuracy and reliability of DNA fingerprinting.
Predicting The Cost Of Dental Care Using A Probability Model, Nadine Wehbe
Predicting The Cost Of Dental Care Using A Probability Model, Nadine Wehbe
Undergraduate Journal of Mathematical Modeling: One + Two
This paper uses survey data to present a probability model that allows dental offices to predict patient costs. The quantitative model is useful for developing and accepting capitation rates. It accounts for whether the care is initial care or maintenance care, the type of dental care (such as operative, prosthetics, or periodontics), and different age groups, all of which affect the cost of dental treatment.
Possible Contamination From Rainwater In Community Pool, David Mcgregor
Possible Contamination From Rainwater In Community Pool, David Mcgregor
Undergraduate Journal of Mathematical Modeling: One + Two
The project is meant to create an equation that can be used to estimate the amount of organic pollutant – bacteria - that is present in a swimming pool per day from rainwater. This equation is derived through a differential equation of the rate in minus the rate out. The created differential equation is an ordinary linear differential equation and is solved using an integration factor. The general solution is then converted into a specific equation using an initial condition. The resulting equation provides an approximate number of organic contaminants x(t) present in the pool after an …
Volume And Cost Of Cylindrical Shaped Silo With Conical Roof, Gabriel Mitzakoff Parola
Volume And Cost Of Cylindrical Shaped Silo With Conical Roof, Gabriel Mitzakoff Parola
Undergraduate Journal of Mathematical Modeling: One + Two
This project utilizes integral calculus to find the exact volume of a non-uniform cylindrical-shaped silo used to store wheat and calculate the cost of material utilized to build such silo. Due to its non-uniform shape, the silo is divided into two sections and the volume of each is calculated. The final volume for the silo with the measurements provided is approximately 2330.02 meters cubic and surface area of 1074.96 meters squared, which is considered to be a large capacity silo. With such a large capacity silo there are costs to be considered, such as the material cost which is calculated …
Calculating The Probability Of Constitutional Isomers Of Pentane, Mary-Margaret Dare
Calculating The Probability Of Constitutional Isomers Of Pentane, Mary-Margaret Dare
Undergraduate Journal of Mathematical Modeling: One + Two
Depending on the reagent, and orientation of collisions within a chemical reaction, organic molecules can be present as different constitutional isomers of the same molecule. We can analyze the likelihood of getting a mixture of pentane with certain conformers. Based on this, we find that there are 16 potential conformers, but 13 are identical structures, meaning only three are distinct from each other. Using the product rule, we then demonstrate how to go about calculating the probability of specific conformers, including specific identical structures, being present in a mixture, and then we demonstrate that process is strictly within the three …
Surge Functions And Drug Interactions, Olta Tarko
Surge Functions And Drug Interactions, Olta Tarko
Undergraduate Journal of Mathematical Modeling: One + Two
The objective of this project is to analyze how surge functions work to understand the way drug concentration levels in the bloodstream of a human body vary over time after an initial dose. A surge function increases rapidly at the beginning of the dosage and drops slowly after it reaches its peak. It is important to realize when a certain drug reaches its peak and how long the effects will last on a patient, so a second drug can be administered without risking negative interactions. We explain the calculations used in order to properly understand the curve of a drug’s …
Moment Of Inertia In Applied Calculus, Saad Habib
Moment Of Inertia In Applied Calculus, Saad Habib
Undergraduate Journal of Mathematical Modeling: One + Two
This paper demonstrates the usefulness of calculus in structural/continuum mechanics. Calculus in structural/continuum mechanics is used to calculate mass, volume, centre of mass, moment of inertia and in solutions of differential equations. In this paper, we will use calculus to calculate moment of inertia. The area moment of inertia of a surface measures the resistance to deflection of the cross section to bending or buckling. Moment of inertia is used by engineers of inertia to determine the state of stress in a cross section and the amount of inertia. It represents a mathematical concept that depends on the size and …