Physics

Problem

A crest on a sinusoidal wave moving along a taut wire is located at

x = 1.20\,\text{m}

t = 0

and at

x = 1.50\,\text{m}

t = 0.020\,\text{s}

. The distance between this crest and the nearest trough is measured to be

0.40\,\text{m}

, and the maximum displacement of the wire is

3.0\,\text{cm}

. a. (i) Determine the wavelength of the wave. b. (ii) Calculate the frequency of the wave. c. (iii) Write a possible mathematical equation for the travelling wave, taking displacements in centimetres. d. (iv) Using your results, draw the displacement–position graph of the wave at

t = 0.030\,\text{s}

for the region

1.0\,\text{m} \le x \le 1.8\,\text{m}

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