Answer :
Answer:
[tex] v = 1.6 \frac{m}{s} *\frac{100cm}{1m}= 160 \frac{cm}{s}[/tex]
Explanation:
If we have a periodic wave we need to satisfy the following basic relationship:
[tex] v = \lambda f[/tex]
From the last formula we see that the velocity is proportional fo the frequency.
For this case we have the following info given by the problem:
[tex] T= 0.2 s, \lambda =32 cm* \frac{1m}{100cm} =0.32 m, A= 3cm*\frac{1m}{100 cm}=0.03 m[/tex]
We know that the frequency is the reciprocal of the period so we have this formula:
[tex] f = \frac{1}{T}[/tex]
And if we replace we got:
[tex] f =\frac{1}{0.2 s}= 5Hz[/tex]
Now since we have the value for the wavelength we can find the velocity like this:
[tex] v = 0.32 m * 5Hz = 1.6 \frac{m}{s}[/tex]
And if we convert this into cm/s we got:
[tex] v = 1.6 \frac{m}{s} *\frac{100cm}{1m}= 160 \frac{cm}{s}[/tex]