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Trigonometry in Engineering

Join G Murphy, G Mazz, and Matt Blewett as we embark on a quest to explore the different tirgonomic functions present in engineering!!
by

Matt Blewett

on 22 May 2014

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Transcript of Trigonometry in Engineering

Mechanical Engineering
Civil
Civil engineers use trigonometry to measure and create designs of projects.
It can be used to calculate angles and distances in the designs of buildings, bridges and structures.
Sinusoidal functions can also be used to calculate structural properties such as beam deflection and structural integrity.
Trigonometry in Engineering
By Garrett Murphy, Garrett Mazziotti, and Matthew Blewett
Overview
Trigonometry is heavily used in many fields of study, such as science and engineering.
In the field of engineering, trigonometry is used in many different forms and is utilized in many different ways.
How Trigonometry is used in Engineering
Engineering is broken down into four main categories. They are....
Mechanical
Civil
Electrical
Chemical
Engineering
Electrical Engineering
A sinusoidal Function can be used to predict the direction and direction of an alternating Current
Civil Continued: Architecture
Trigonometry is used in architecture because it allows the architect to calculate different elements of a design such as distances and forces related to diagonal elements such as roofs and custom ceilings.
Of the six functions in basic trigonometry, the sine, cosine, and tangent are used to easily find the opposite and adjacent values related to an angle or hypotenuse.
Mechanical Engineering is one of the broadest engineering fields.
Mechanical engineers design, develop, build, and test mechanical and thermal devices, including tools, engines, and machines.

Mechanical engineers have to research, design, develop, manufacture, and test tools, engines, machines, and other mechanical devices.
This process is known as the "Design Process".

For the Mechanical engineers to be able to complete the design process they have to apply principles from calculus and trigonometry as well as other higher-level mathematics concepts.
The graph represents a normal sine function that starts at y=0
The max voltage of the current is 311 Volts, and so the minimum must reflect across y=0 and be -311 Volts
A therefor equals 311
There are no shifts present in the graph of the function.
So the function of the current must be y=311sin(1/3x)
Trigonometry
Trigonometry is the study of the relationships between the sides and angles of triangles.
Real world applications are seen in many different fields today , but particularly are in the many aspects of Engineering
The period of the function is 20ms.
So, (2 x pi)/B =20
B is about 1/3
Chemical Engineering
Sinusoidal Functions make up the basis for spectroscopy, which identifies the makeup of a material/substance by identifying the light radiated by said compound/material.
Spectroscopy
Different elements reflect and radiated different wavelengths of light.
Elements can be identified by looking at what color light is emitted.

Hydrogen
Oxygen
Another example of Trigonometry in Mechanical Engineering is to find heights for centers of mass
Use Force Triangles to determine
the height of the center mass
Mechanical Vibrations
Mechanical vibration is defined as the measurement of a periodic process of oscillations with respect to an equilibrium point.
Or the motion of a body or system of connected bodies displaced from a position of equilibrium.
There are many different kinds of Mechanical Vibration.
Two are Free and Forced vibration
Mechanical Vibrations are very similar to Sound, or "pressure waves," and are calculated in the same way.
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Another way that Trigonometry is Mechanical Engineering is to find distances or angles in joints in products
Full transcript