Harmonic wave
This interactive plot might be used to understand the nature of simple harmonic wave and influences of its parameters.
A simple harmonic wave is represented as \(a\sin(\omega t+\phi)\) or \(a\cos(\omega t+\phi)\).
Here, \(a\sin(\omega t+\phi)\) is taken for the purpose of visualization.
Following are the parameters of the simple harmonic wave
Drag the sliders to change the values of \(a,\omega\,\&\,\phi\) to see the computed quantities (Frequency (\(f\)) and Time period (\(T\)))
Relation between \(f\) and \(T\), \[T=\frac{1}{f}\]
Peak-to-peak amplitude is called as Range \((R)\,=2a\)
A simple harmonic wave is represented as \(a\sin(\omega t+\phi)\) or \(a\cos(\omega t+\phi)\).
Here, \(a\sin(\omega t+\phi)\) is taken for the purpose of visualization.
Following are the parameters of the simple harmonic wave
- \(a\) - Maximum amplitude
- \(\omega\) - Angular frequency in rad \(=2\pi f\) where \(f\) is frequency in Hz
- \(\phi\) - Phase angle in rad
- \(t\) - time in seconds (in the plot it is named as \(x\))
Drag the sliders to change the values of \(a,\omega\,\&\,\phi\) to see the computed quantities (Frequency (\(f\)) and Time period (\(T\)))
Relation between \(f\) and \(T\), \[T=\frac{1}{f}\]
Peak-to-peak amplitude is called as Range \((R)\,=2a\)