1. The problem statement, all variables and given/known data The speed of a transverse wave on a string is 450 m/s, while the wavelength is 0.18 m. The amplitude of the wave is 2.0 mm. a. What is the total up and down distance moved by the wave particle for each cycle of the wave? b. What is the frequency of the wave? c. What is the period of motion of the wave? d. How many cycles of the wave would have to pass by a given point so that a particle on the string moves a total distance of 1.0 km? e. How much time is required for a particle on a string to move through a total distance of 1.0 km? 2. Relevant equations v = f lambra t = 1/f time = d/v 3. The attempt at a solution a. Amplitude is 2.0 mm therefore the crest and trough is 4.0 mm. Up and down distance is 8.0 mm because two crest and troughs (4.0 mm) add up to 8.0 mm. b. v = f lambra 450 m/s = f 0.18 m 450 m/s / 0.18 m = f f = 2500 Hz c. t = 1/f t = 1 / 2500 Hz t = 0.0004 s d. 1 km = 1,000 m but this is it because I don't know what to do. e. time = d/v time = 1000 m/450 m/s time = 2.22 s I think my answers are right but correct me if I'm wrong.