Physical World
A simple wave motion represented by $$y=5(\sin 4\pi t+\sqrt 3 \cos 4\pi t)$$. Its amplitude is:
The amplitude (in mm)
The amplitude of a wave is defined as the maximum distance moved by the particle on either side of the mean position.
From the above wave diagram it is clear that amplitude of the wave as shown on Y-axis is 1mm.
A simple wave motion represented by $$y=5(\sin 4\pi t+\sqrt 3 \cos 4\pi t)$$. Its amplitude is:
Amplitude of a wave is represented by $$A = \dfrac {c}{a + b - c}$$. Then resonance will occur when
A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. the particle closest to it having zero displacement is at a distance
You have learnt that a travelling wave in one dimension is represented by a function y = f (x,t) where x and t must appear in the combination x - v t or x + v t i.e. $$ \displaystyle y = f(x\pm v t)$$. Is the converse true ? Examine if the following functions for y can possibly represent a travelling wave : (a) $$ \displaystyle (x+vt)^{2} $$ (b) $$ \displaystyle \log \left [ \left ( x+vt \right )/x_{o} \right ] $$ (c) 1/(x+vt)
A continuous sinusoidal longitudinal wave is sent along a very long coiled spring from an attached oscillating source. The wave travels in the negative direction of an $$ x $$ axis; the source frequency is $$ 25 \mathrm{Hz} ; $$ at any instant the distance between successive points of maximum expansion in the spring is $$ 24 \mathrm{cm} $$; the maximum longitudinal displacement of a spring particle is $$ 0.30 \mathrm{cm} ; $$ and the particle at $$ x=0 $$ has zero displacement at time $$ t=0 . $$ If the wave is written in the form $$ s(x, t)=s_{m} \cos (k x \pm \omega t), $$ what is $$s_{m}?$$
Suppose a spherical loudspeaker emits sound isotropically at $$ 10 \mathrm{W} $$ into a room with completely absorbent walls, floor, and ceiling (an anechoic chamber). What is the ratio of the wave amplitude at $$ d=4.0 \mathrm{m} $$ to that at $$ d=3.0 \mathrm{m} ? $$
Two sinusoidal waves with the same amplitude of $$ 9.00 \mathrm{mm} $$ and the same wavelength travel together along a string that is stretched along an $$ x $$ axis. Their resultant wave is shown twice in Fig. $$ 16-38, $$ as valley $$ A $$ travels in the negative direction of the $$ x $$ axis by distance $$ d=56.0 \mathrm{cm} $$ in $$ 8.0 \mathrm{ms} . $$ The tick marks along the axis are separated by $$ 10 \mathrm{cm}, $$ and height $$ H $$ is $$ 8.0 \mathrm{mm} . $$ Let the equation for one wave be of the form $$ y(x, t)=y_{m} \sin \left(k x \pm \omega t+\phi_{1}\right), $$ where $$ \phi_{1}=0 $$ and you must choose the correct sign in front of $$ \omega . $$ For the equation for the other wave, what is $$ y_{m}? $$
Two sinusoidal waves with the same amplitude and wavelength travel through each other along a string that is stretched along an $$ x $$ axis. Their resultant wave is shown twice in Fig. $$ 16-41 $$, as the antinode $$ A $$ travels from an extreme upward displacement to an extreme downward displacement in 6.0 ms. The tick marks along the axis are separated by $$ 10 \mathrm{cm} $$; height $$ H $$ is $$ 1.80 \mathrm{cm} $$. Let the equation for one of the two waves be of the form $$ y(x, t)=y_{m} \sin (k x+\omega t) . $$ In the equation for the other wave, what is $$ y_{m}$$
A sinusoidal transverse wave traveling in the positive direction of an $$ x $$ axis has an amplitude of $$ 2.0 \mathrm{cm}, $$ a wavelength of $$ 10 \mathrm{cm}, $$ and a frequency of $$ 400 \mathrm{Hz} $$. If the wave equation is of the form $$ y(x, t)=y_{m} \sin (k x \pm \omega t), $$ what is $$ y_{m} $$
The equation of a transverse wave traveling along a string is $$y=0.15 \sin (0.79 x-13 t)$$ in which $$ x $$ and $$ y $$ are in meters and $$ t $$ is in seconds. what is $$ y_{m}$$