A transverse wave on a cable can be modeled by the equation y(x, t) = 0.364 sin(1.30x + 89.8t), where x and y are in meters and t is in seconds. Imagine the cable has a small mark on it at x = 0. (a) What is the time interval (in ms) between the first two instants when this mark has a position of y = 0.175 m? 69.92 We are interested in the first two times the mark at x = 0 reaches the desired displacement. When dealing with angles be careful with the distinction between degrees and radians. Since we are interested in the first two times the sine of an angle has a particular value, it may be helpful to recall that sin(0) = sin(-0). ms (b) What distance (in m) does the wave travel during the time interval found in part (a)? 4.83 x Check your units. How is the distance the wave travels along the cable related to the speed and time of travel? How is the speed of the wave travelling along the cable related to the angular frequency and wave number? m Need Help? Read It
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.
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