The equation of a transverse wave travelling along a string is given by \(\psi = 0.6 \sin(\pi(x + 100t))\), where \(\psi\) and \(x\) are in centimetres and \(t\) is in seconds.
Find the amplitude, wavenumber, wavelength, frequency, period and velocity (i.e. phase velocity)
of the wave.
Find the maximum transverse speed of any particle in the string.
Sketch, on the same graph, the wave at times \(t = 0\) and \(t = 2.5\) ms in the range \(x = 0\) to \(x = 1\).
Identify a point at which the particle velocity is zero at \(t = 0\), and indicate how the tension of the
string at that time results in a net force, which is apparent in its subsequent displacement.