Part A:
The general form of the equation of a transverse wave is given by:
![y(x,t)=A\cos\left[2\pi\left( \frac{x}{\lambda} - \frac{t}{T} \right)\right]](https://tex.z-dn.net/?f=y%28x%2Ct%29%3DA%5Ccos%5Cleft%5B2%5Cpi%5Cleft%28%20%5Cfrac%7Bx%7D%7B%5Clambda%7D%20-%20%5Cfrac%7Bt%7D%7BT%7D%20%5Cright%29%5Cright%5D)
where A is the amplitude,
is the wavelength, and T is the period.
Given that a certain transverse wave is described by:
![y(x,t)=bcos[2\pi(xl-t\tau)]](https://tex.z-dn.net/?f=y%28x%2Ct%29%3Dbcos%5B2%5Cpi%28xl-t%5Ctau%29%5D)
, where b = 5.90 mm , l = 29.0 cm , and \tau = 3.90\times10^{-2} s
Thus, the amplitude is b = 5.90 mm = 5.9\times10^{-3} \ m
Part B:
The general form of the equation of a transverse wave is given by:
where A is the amplitude, is the wavelength, and T is the period.
Given that a certain transverse wave is described by:
![y(x,t)=bcos[2\pi\left(\frac{x}{l}-\frac{t}{tau}\right)\right]](https://tex.z-dn.net/?f=y%28x%2Ct%29%3Dbcos%5B2%5Cpi%5Cleft%28%5Cfrac%7Bx%7D%7Bl%7D-%5Cfrac%7Bt%7D%7Btau%7D%5Cright%29%5Cright%5D)
, where b = 5.90 mm , l = 29.0 cm , and \tau = 3.90\times10^{-2} s
<span>Thus,
Part C:
</span><span>The general form of the equation of a transverse wave is given by:
where A is the amplitude, is the wavelength, and T is the period.
</span><span>Given that a certain transverse wave is described by:
,
where b = 5.90 mm , l = 29.0 cm , and \tau = 3.90\times10^{-2} s
</span>
<span>The wave's frequency, f, is given by:
</span>
Part D:
Given that the <span>the wavelength is
</span><span>and that the wave's frequency is 29.4 Hz
</span><span>The wave's speed of propagation, v, is given by:
</span>
The general form of the equation of a transverse wave is given by:
where A is the amplitude,
Given that a certain transverse wave is described by:
Thus, the amplitude is b = 5.90 mm = 5.9\times10^{-3} \ m
Part B:
The general form of the equation of a transverse wave is given by:
where A is the amplitude,
Given that a certain transverse wave is described by:
<span>Thus,
Part C:
</span><span>The general form of the equation of a transverse wave is given by:
where A is the amplitude,
</span><span>Given that a certain transverse wave is described by:
</span>
<span>The wave's frequency, f, is given by:
</span>
Part D:
Given that the <span>the wavelength is
</span><span>The wave's speed of propagation, v, is given by:
</span>