A sinusoidal wave is traveling on a string with a speed of 40 cm/s. The displacement of the particles of the string at x = 10 cm is found to vary with time according to the equation
y = (5.0 cm) sin [1.0 - (4.0 s-1)t].
The linear density of the string is 4.0 g/cm.
(a) What is the frequency of the wave?
(b) What is the wavelength of the wave?
(c) Write the general equation giving the transverse displacement of the particles of the string as a function of position and time.
(d) Calculate the tension in the string.