Mechanical Waves

Waves.  The wave speed v=\lambda f, \lambda – the wavelength, f – the frequency.

Wave functions and wave dynamics.  The displacement of individual particles in the medium
y(x,t)=A\cos[\omega(\frac xv-t)] (or, more intuitively, y(x,t)=A\cos[\omega(t-\frac xv)])
y(x,t)=A\cos2\pi(\frac x\lambda-\frac tT)
y(x,t)=A\cos(kx-\omega t), where k=\frac{2\pi}\lambda and \omega=2\pi f=vk
Wave function: \frac{\partial^2y(x,t)}{\partial x^2}=\frac1{v^2}\frac{\partial^2y(x,t)}{\partial t^2}

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s