![]() ![]() Have students verify that the fork is not vibrating, turn on the sig gen, and then turn off the sig gen. One can also cause a tuning fork to vibrate using a signal generator and speaker tuned to the natural frequency of the fork. A 256 Hz tuning fork will drive a 512 Hz fork, but not the other way around. Avoid integer multiple frequencies such as 256 and 512 Hz. Again, with different tuning forks there is little or no transfer of energy. Hold the forks near the end of the handles and press the ends together as suggested in the photo above. You can actually illustrate this with tuning forks that are not mounted on resonance boxes, although students have to hold the forks up to their ears to hear the sound. On the other hand, a tuning fork with a different natural frequency will not vibrate when placed near the vibrating fork. This means energy has been efficiently transferred from one to the other, a resonance effect. In other words, put them near each other and hit one. The matched (same natural frequency) tuning forks mounted on boxes will couple to each other effectively. The diving frequency of the first tuning fork matches the natural frequency of the second tuning fork, giving rise to resonance.įor a more careful discussion for resonance and its relationship with natural frequency, see hyperphysics. The transfer of energy from one tuning fork to another that vibrates at the same frequency is easy. Standing waves in air coloumn, soprano saxophone etc.Two matched tuning forks are mounted on resonance boxes. This is two tuning fork vibrations for one up and down string vibration, so the tuning fork frequency is half the string frequency.Ģ. Therefore, in longitudinal drive mode, since the string tension increases and decreases once per tuning fork vibration, it takes one tuning fork vibration to move the string loop to maximum up position and one to move it to maximum down position. The tension is maximum both at the loops’ maximum up position and again at maximum down position. However, one cycle of up and down vibration for transverse waves on the string is two cycles of string tension increase and decrease. In transverse drive mode the string follows the motion of the tuning fork, up and down, once up and once down per cycle of tuning fork vibration. Using equation (6) and (7) we can calculate the frequency of electrically maintained tuning fork in two different modes of vibration. In this mode, frequency of the fork is twice the frequency of the string. The time, during which the tuning fork completes one vibration, the string completes half of its vibration. Longitudinal drive mode: In this arrangement the tuning fork is set in such a manner that the vibrations of the prongs are parallel to the length of the string. The total mass M is equal to the mass M' of the weight in the scale pan plus the mass M 0 of the scale pane, M = M' + M 0. In this mode, frequency of the string is equal to the frequency of the tuning fork. The time, during which the tuning fork completes one vibration, the string also completes one vibration. Transverse drive mode : In this arrangement the vibrations of the prongs of the tuning fork are in the direction perpendicular to the length of the string. Substituting the value of ' v ' in equation (4) ![]() If ‘f’ be the frequency of vibration the wire, Because l is half a wavelength in the equations, The distance between two consecutive nodes is λ/2, ( λ - wavelength). The points of the medium which have no displacements called nodes and there are some points which vibrate with maximum amplitude called antinodes. Since ends of the wire are clamped, there is node N at each end and anti node A in the middle as shown in Fig: 1. By the superposition of incident and reflected waves, transverse stationary waves are set up in the wire. Vibrations of a stretched string: When the wire is clamped to a rigid support, the transverse progressive waves travel towards each end of the wire. Where m is the mass of the string and L is the total length of the string. Μ - linear density or mass per unit length of the string. M - Mass suspended and g is acceleration due to gravity. Where the tension T in the string equal to Mg. The speed of a wave in a flexible stretched string depends upon the tension in the string and mass per unit length of the string. Speed of waves in a stretched string : A string means a wire or a fiber which has a uniform diameter and is perfectly flexible. To determine the frequency of an electrically maintained tuning fork by,Įlectrically maintained tuning fork, fine thread, scale pan, weights and meter scale. ![]()
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