A sinusoidal wave is traveling on a string with speed 20. cm/s. Thedisplacement of the particles of thestring at x = 30 cm isfoundto vary with time according to the equation y = (5.0cm)sin[12.0 - (8.0 s-1)t]. The linear densityofthe string is 8.0 g/cm.
(a) What is the frequency of the wave? 1s-1
(b) What is the wavelength of the wave? 2 cm
(c) Give the general equation giving the transverse displacementofthe particles of the string as a function of position andtime. y(x,t) = ( 3 cm)sin[( 4cm-1)x - (5s-1)t]
(d) What is the tension in the string? 6 N
Can you find theangular wave number andangular frequency in the given equation?How are they related to thewavelength and frequency? Can yourelate the angular wave number andangular frequency to the wavespeed? Can you relate wave speed tothe tension and lineardensity?
