1. An infinitely long string stretching along the x-axis, with a tension t=18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,t), perpendicular to the direction of travel, is: y(x,t)= (0.350)sin((0.0500 r ) x+(300.0 7)t). In this equation the units of both y(x,t) and x are cm and t is in seconds. a. What is the amplitude of the wave, ym ? b. What is the frequency of the wave, f ? c. What is the wavelength of the wave, 1 ? d. What is the speed of the wave, v ?
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.
As per the guideline only solving part a, b, and c:
The displacement equation is given by:
Write the standard equation of wave displacement as follows:
On comparing the above two equations, we will get:
The amplitude a is 0.35
The angular velocity is
Part a:
Thus, the amplitude of the wave is a=0.35.
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