A sine wave or sinusoidal wave is the most natural representation of how many things in nature change state. A sine wave shows how the amplitude of a variable changes with time. The variable could be audible sound for example.
Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.
A smooth periodic signal that is expressed in terms of sine or cosine trigonometric functions is called as a sinusoidal signal. It is also known as sinusoid. A sinusoidal wave signal has a waveform of S-shape over a single time period.
Sinusoidal Amplitude, Frequency, and Phase
The three characteristics that separate one sinusoid from another are amplitude, frequency, and phase.
For a single-frequency sound wave, the rate at which it does this is regular and continuous, taking the shape of a sine wave. Thus, the graph of a sound wave is a simple sine wave only if the sound has only one frequency component in it – that is, just one pitch.
All sounds in nature are fundamentally constructed of sine waves. More complex sounds simply contain more oscillations at different frequencies, stacked one upon another. Higher-frequency, oscillations which are tonally related to the fundamental frequency (the base note or tone) are known as harmonics.
AC from a power supply
This shape is called a sine wave. This triangular signal is AC because it changes between positive (+) and negative (-).
The key points for sine are (0, 0), (π2,1), (π, 0), (3π2,−1), and (2π, 0). Graph the key points and sketch the sine curve through the points.
The exact shape of a sine wave is very important to the field of electronics because it is the only wave shape that has energy at only one frequency. All other possible wave shapes contain energy at more than one frequency at the same time.
Effective value is considered as the most important value of a sine wave.
The sine wave is important in physics because it retains its wave shape when added to another sine wave of the same frequency and arbitrary phase and magnitude. It is the only periodic waveform that has this property. This property leads to its importance in Fourier analysis and makes it acoustically unique.
Electrical power can be graphically depicted as a sine wave whereby the electrical signal alternates from +120 volts to -120 volts at a rate of 60 times per second (60 Hz).
A digital signal carries the data in the form of binary because it signifies in the bits. These signals can be decomposed into sine waves which are termed as harmonics.
As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.
Circles are an example of two sine waves
Circles and squares are a combination of basic components (sines and lines). The circle is made from two connected 1-d waves, each moving the horizontal and vertical direction.
The sine function has a period of 2π. That means the sin function completes one cycle when its entire argument goes from 0 to 2π. ω represents the frequency of a sine wave when we write it this way: sin(ωt). If ω=1 the sin completes one cycle in 2π seconds.
The equation of a basic sine function is f ( x ) = sin . In this case , the frequency, is equal to 1 which means one cycle occurs in .
The following three terms fully describe a sine wave: Frequency. Amplitude. Phase.
synonyms for sine wave
On this page you'll find 2 synonyms, antonyms, and words related to sine wave, such as: lissajous curve, and lissajous figure.
The instrument that produces the purest tone (a wave closest to the standard sine wave) is the flute!
People will hear the frequency of a sine wave as pitch, i.e., a high-frequency (often repeating) wave will sound like a high note, while a lower-frequency (not as often repeating) wave will sound like a lower note. Frequency and amplitude are independent of each other.
The shape of an ocean wave is often depicted as a sine wave, but the the experimental waveshape is described as a "trochoid". A trochoid can be defined as the curve traced out by a point on a circle as the circle is rolled along a line.
Traditional AM/FM radio and TV broadcasts communicate information through analog, or continuous, signals. Wi-Fi communicates information digitally, as discrete values – the 0's and 1's of binary data. This lets mobile devices easily send a wide range of data types, including video, image, speech and text.