Sine wave

This artifact is primarily based on Sinusoidal waves and how to use and apply this to represent and develop musical notes. In doing so, I had to use a variety of properties of trigonometry for the key aspects in this artifact. Such as, building an instrument and finding out the relationship between sound waves and the sinusoidal representation. Sinusoidal is any graph mainly consisted of either the sine or cosine function. The general formula for Sinusoidal waves is y=Acosfx+C.The height of the wave of this particular function is the Amplitude. It can be written as y=Asinx and y=Acosx, where the absolute value of A is the amplitude. Also in the trigonometric function, the number of cycles it completes in a given interval 2π is the frequency. It can be written as y=Asinfx and y=Acosfx, where the coefficient, f, is known as the frequency. By adding a constant to a sinusoidal graph, a vertical shift occurs. This can be shown in y=Asinfx+C and y=Acosfx+C. Cis the average value of the trigonometric function. Overall this function…

 Musical Notes Can Count Jerri Pineda Abstract— The development of mathematics involves early connections with music and the basic physics of sound. Mathematics is present in the natural occurrence of the ratios and intervals found in music and modern tuning systems. As people age, their hearing becomes dull and require change in the music ratio and interval to hear the same tune as when young. In like manner, the interval increases until a perfect pitch is heard. In this paper we will examine…

analog signal made of fluctuating voltage. To store this data on a computer we need to convert these voltage samples into binary numbers. This process is called quantization. If you set the bit depth in a digital audio system, we could define how many bits will be representing each sample value. So, the more bits that we use to represent a value the more different values we can hold, thus we could get higher resolution. 5. What is a sine tone (sinusoidal wave) and why is it unique compared to…

Sound Waves in Music Intervals Introduction Mechanical Wave Sound is a mechanical wave. It has an original source that is a vibrating object. It travels in a medium through particle-to-particle interaction. Longitudinal Wave In a sound wave, the particles in the medium oscillate in a direction parallel to direction of energy transport. This results in compressions and rarefactions in the particles- Lower pressure causes molecules to expand into a large region of space called rarefactions, and…

Vibration Experiment Preface The mechanical vibration (Mechanical Vibration) is Oscillations (Periodic Motion) or random (Random Motion) of the mass of the mechanical system versus a balanced static system, the mechanical vibrations caused by mechanical systems (Structure or equipment), which is in a state of static equilibrium is disturbed by an external force. Resulting in the exchange of kinetic energy and potential energy between the mass and spring of the system. An example of interference…

The higher the mass leads to a slower vibration. Any physical object, whether it be air or a spring which both have spring like stiffness and inert mass have vibratory properties. An increase in mass increases the inertia of the object. Increased inertia means that the springs will not be able to make the mass change direction as quickly. This increases the time period of the oscillation. The greater the inertia of an oscillating object, the greater the time period which therefore lowers…

When a lens produces an image, the size of it corresponds to the focal length of the lens. The smaller the focal length, the smaller the image and the longer the focal length the bigger the image. How bright an image may be solely depends on the amount of light collected by the objective lens. How much light can be collected corresponds to the area of the objective lens. So the bigger the objective lens, the more light can be collected. If you want to increase the light gathering power by 4, you…

light blue sky. It is full of sand , animals, and people in Myrtle Beach. People wear bathing suits that have bright designs on them. Girls wear either two pieces or one suit with no shoes , only their wiggly toes. Boys wear only bottoms to show off their body figures. The sand is all over the beach wear people have their exciting moments. I enjoy hearing the chirping birds fly and dogs barking while walking in Myrtle Beach. Kids yelling and talking to their friends and others are talking in…

The Wave is all about types, and Robert Billings is no exception; he's the school loser, to use the novel's rather cruel terminology. Other students in the school are afraid to ruin their own image by hanging out with the “class creep”. Ben Ross thinks that part of his problem is living in the shadow of his ultra-popular brother, who used to attend Gordon High School. When the Wave finally comes along, Robert seizes the opportunity to make a change, but things get even worse. Although some might…

This year when I went to Ocean City me, my grandparents, my aunt and my cousins Bella, Nic, and Sophia. Most of the time at the beach we were playing in the sand and the shallow water. Then I and my cousin Nic decided to ride the waves with tubes. I got a little to far out and my aunt called for me to come closer as I was swimming back I was facing shore as I was almost where my aunt wanted me my cousin Nic screamed: "Ciana look out". As he said look I turned around and about a fifteen-foot wave…