Given that a wave equation is represented by y=sin(kx-wt), where w=180rad/s, y is in cm and k=5.3rad/cm, determine the i) length of one cycle of the wave. ii) distance that a point on the wave travels in 20 seconds. iii) phase difference between two points that are 25cm apart on the wave. iv) velocity of a particle of the medium through which the wave propagates at a point where the wave phase is 3π.

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Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.