poprskanvxcl

2023-02-19

A wave having a wavelength of 4.0 meters and an amplitude of 25 meters travels a distance of 24 meters in 8.0 seconds. What is the frequency and the period of the wave?

Zachariah Patel

Given:
$\lambda =4.0m$
$Amplitude=25m$
$d=24m$
$s=8.0s$
Required:
$f=?$
$T=?$
Analysis:
$v=\lambda f$
$f=\frac{N}{t}$
$T=\frac{1}{f}$
$v=\frac{d}{t}$
Solve:
$v=\frac{d}{t}=\frac{24}{8.0}\to v=3.0\frac{m}{s}$
$v=\lambda f\to f=\frac{v}{\lambda }=\frac{3.0}{4.0}\to f=0.75Hz$
$T=\frac{1}{f}=\frac{1}{0.75}\to T=1.33s$

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