Apparatus and Procedure

Water waves were observed in a container that had water up to a height of \(0.03\) meters and the length of the container was \(.38\) meters long. A function generator that is connected to an amplifier that drives a speaker that is connected to the glass container at one end. The container is on a bearing stage that allows the container to move with the frequency that is driving the speaker. The movement will cause the surface to oscillate with the oscillator and if a resonant mode is reached, a maximum on the surface oscillation will be seen and this is detected by two wires on the other side of the container that conduct due to the salt in the water. The resistance between the two wires will oscillate with the oscillation in the height of the water. This is then connected to a wheatstone bridge which is a circuit used to find an unknown resistance by balancing two legs of a bridge circuit. Of the four resistances in the wheatstone bridge one is unknown and one of the known resistances is variable. If the ratio of the resistances in the known leg is equal to the ratio of the resistances in the unknown leg, then no current will flow through the galvanometer. If theres an inbalance than you can vary the variable resistance until no current flows. A lock in amplifier is used to measure the voltage from the equal ratios of resistance. This voltage is the reference voltage and the two voltages from the waves themselves are used at A and -B as shown in the diagram below. after filtering the output and converting AC to DC,a DC rms amplitude that is equivalent to the waves amplitude is fed into LabView to be recorded. Data was taken this way for sweeps from 0.5-3.5 Hz,3.5-7 Hz, and 7-10 Hz. The function generator was set to a sweep time of 1999s. From these sweeps, resonances were found and recorded. Note that when searching for resonances between 7-10 Hz nonlinear and odd behavior was observed. After 3 times trying to get that data it was decided that these frequencies were too difficult to get and used 0.5-5 Hz for data analysis.