This natural frequency was calculated to be.
Stationary waves commonly referred to as standing waves are waves that appear to be moving back and forth on the same sport i.e. they oscillate instead of making linear motion. This phenomenon can take place if two waves of equal wavelength and frequency travelling in the opposite directions superimpose on each other (Jerry, 2006). On the water, two water waves travelling in the opposite direction can be produced by sending a wave against a barrier that will block further propagation of the wave. Hence reflect the wave back in the opposite way. This reflected wave which is a counter-propagating wave is of the same amplitude, wavelength and frequency as the incident wave. Thus, these two waves will interfere both constructively and destructively (Halliday, Robert & Jearl, 2006).
Standing waves being oscillations nature other than linear motion; they take on basic parameters related to oscillations such as; angular frequency and period. The angular frequency, , and period, T, are related according to the formula below;
Where is the velocity of the wave, is the linear frequency and is the distance between two successive crests of the incident wave (Feynman, Leighton, and Sands, 2013). The frequency of the propagating wave is the same as the frequency of the wave marker. The frequency can also be obtained from the period of one complete cycle as;
Where the crest of one wave and trough of the other wave meets, they cancel out creating a node at that point. Halfway between two nodes the two waves superimpose constructively building an antinode. Antinodes are the points of maximum displacements. The distance between two nodes, L, is related to the wavelength of the wave by;
By using a buoyancy board, water waves are generated and sent to the other end of the pool at same interval. The wall of the opposite side of the pool will act as a barrier and reflect the periodic wave back in the opposite