Kate has a six-stringed guitar. Each string is tuned to a different pitch. She finds that when she places a tuning fork of frequency 512 Hz on the bridge of her guitar, ONE of the strings starts to make a sound at the same frequency as the tuning fork. She looks at the string very carefully and sees that it is oscillating with THREE antinodes, as shown in the diagram. node Anti-node Anti-node Anti-node (a). What is the natural fundamental frequency of one string ? (b). If the string has a length (between the two fixed ends) of 0.635 m, what is the velocity of the travelling wave in the string ? NAME (c) The thickness and tension in two other strings (numbers 2 and 3) are such that a travelling wave in string 3 moves 1.005 times faster than the wave in string 2 (so that 2 = 1.005). Both strings are the same length. When V2 they are plucked, they both vibrate in their fundamental mode. The two sounds cause beats at a frequency of 1.2 Hz. Find the fundamental frequency of string 2 ?
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Kate has a six-stringed guitar. Each string is tuned to a different pitch. She finds that when she places a tuning fork of frequency 512 Hz on the bridge of her guitar, ONE of the strings starts to make a sound at the same frequency as the tuning fork. She looks at the string very carefully and sees that it is oscillating with THREE antinodes, as shown in the diagram.
(a). What is the natural fundamental frequency of one string ?
(b). If the string has a length (between the two fixed ends) of 0.635 m, what is the velocity of the travelling wave in the string ?
(c) The thickness and tension in two other strings (numbers 2 and 3) are such that a travelling wave in string 3
moves 1.005 times faster than the wave in string 2 (so that !" = 1.005). Both strings are the same length. When they are plucked, they both vibrate in their fundamental mode. The two sounds cause beats at a frequency of 1.2 Hz. Find the fundamental frequency of string 2 ?
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