BOYAWESOME0202
22.10.2019 •
Physics
(a) write an equation describing a sinusoidal transverse wave traveling on a cord in the positive of a y axis with an angular wave number of a period of 0.20 s, and an amplitude of 3.0 mm. take the transverse direction to be the z direction.
(b) what is the maximum transverse speed of a point on the cord?
(c) what is the wave speed?
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Ответ:
Missing data: the wave number
(a)
For a transverse wave travelling in the positive y-direction and with vibration along the z-direction, the equation of the wave is
where
A is the amplitude of the wave
k is the wave number
is the angular frequency
t is the time
In this situation:
A = 3.0 mm = 0.003 m is the amplitude
is the wave number
is the period, so the angular frequency is
So, the wave equation (in meters) is
(b) 0.094 m/s
For a transverse wave, the transverse speed is equal to the derivative of the displacement of the wave, so in this case:
So the maximum transverse wave occurs when the cosine term is equal to 1, therefore the maximum transverse speed must be
where
Substituting,
(c) 5.24 mm/s
The wave speed is given by
where
f is the frequency of the wave
is the wavelength
The frequency can be found from the angular frequency:
While the wavelength can be found from the wave number:
Therefore, the wave speed is
Ответ:
u fvfkgvdbfjb is it um t-the umugh *inhales* ok i-its PiKaChU no just kidding uh is it Meowth im sorry i tried my best its just the rest of my brain cells wouldnt come and work together.
Explanation: