![]() In order to understand this discrepancy the complete sensor set-up has been digitally rebuilt and analyzed by using finite element method simulations. The results show a significant deviation from values calculated with the beam formula. In this study a new and easily applicable setup has been used to determine the static spring constant at several positions along the prong of the tuning fork. Please record the room temperature for reference since the velocity of sound increases with increasing air temperature.Quartz tuning forks are being increasingly employed as sensors in non-contact atomic force microscopy especially in the “qPlus” design. The velocity in miles per hour may be found by multiplying the velocity in m/sec by the factor 2.24. Repeat the procedure for the other tuning forks supplied. Calculate the wavelength and velocity of sound.Ĥ. You will need to check to see if your column lengths follow the progression 1, 3, 5, 7, - since you may have missed a resonance or counted one of the fainter spurious resonances which sometimes occur. Continue in this manner as far as the length of the tube will permit. Lower the water further to find the next resonant length. Move the water surface up and down several times to locate the point of maximum sound intensity and mark that point with a rubber band on the outside of the tube.ģ. When a resonance is found, a pronounced reinforcement of the sound will be heard. Using the moveable water reservoir, lower the water surface slowly, listening for amplification of the tone. Caution: do not touch the tube with the tuning fork - the rapidly moving fork can break the plastic.Ģ. Strike one of the tuning forks with the rubber mallet supplied and hold it above the water column. This end correction may be added to get a more accurate value if only one resonance can be measured, but it is usually more convenient to eliminate this "end effect" by subtracting the resonance length for l/4 from those for 3 l /4, 5 l /4, etc.ġ. The open end provides the conditions for an antinode, but the actual antinode has been found to occur outside the tube at a distance of about 0.6 r from the end, where r is the tube radius. The water surface constitutes a node of the standing wave since the air is not free to move longitudinally. The resonance is a standing wave phenomenon in the air column and occurs when the column length is: l/4, 3 l/4, 5 l /4 ![]() Resonance is indicated by the sudden increase in the intensity of the sound when the column is adjusted to the proper length. ![]() The length of the water column may be changed by raising or lowering the water level while the tuning fork is held over the open end of the tube. The apparatus for the experiment consists of a long cylindrical plastic tube attached to a water reservoir. ![]() The wavelength of the sound will be determined by making use of the resonance of an air column. In this experiment the velocity of sound in air is to be found by using tuning forks of known frequency. The relationship between these quantities is: v = f l where Introduction: The velocity with which sound travels in any medium may be determined if the frequency and the wavelength are known. To use the resonance to determine the velocity of sound in air at ordinary temperatures. Object: To observe the resonance phenomenon in an open ended cylindrical tube. Resonance Tube: Velocity of Sound Resonance Tube: Velocity of Sound ![]()
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