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Question(s) / Instruction(s):

A sinusoidal wave is traveling on a string with speed 20. cm/s. The displacement of the particles of the string at x = 30 cm is found to vary with time according to the equation y = (5.0 cm)sin[12.0 - (8.0 s-1)t]. The linear density of the string is 8.0 g/cm.
(a) What is the frequency of the wave?
1 s-1

(b) What is the wavelength of the wave?
2 cm

(c) Give the general equation giving the transverse displacement of the particles of the string as a function of position and time.
y(x,t) = ( cm) sin[(cm-1)x - ( s-1)t]

(d) What is the tension in the string?
6 N

Can you find the angular wave number and angular frequency in the given equation? How are they related to the wavelength and frequency? Can you relate the angular wave number and angular frequency to the wave speed? Can you relate wave speed to the tension and linear density?

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