Oscillation of a 300 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 460 m/s. The standing wave has four loops and an amplitude of 2.5 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits. I got 2.5sin(4.09x)cos(600pi*t), I think I'm close but I don't have it right.
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.
Oscillation of a 300 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 460 m/s. The standing wave has four loops and an amplitude of 2.5 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits.
I got 2.5sin(4.09x)cos(600pi*t), I think I'm close but I don't have it right.
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