QUESTION IMAGE
Question
the speed of a wave is 55 m/sec. if the wavelength of the wave is 1.1 meters, what is the frequency of the wave?
answer:
what are the units for this answer?
select one:
m
m/s
hz
Step1: Use wave speed formula
The formula for wave speed \(v = f\lambda\), where \(v\) is speed, \(f\) is frequency, and \(\lambda\) is wavelength. Rearranging for \(f\) gives \(f=\frac{v}{\lambda}\).
Step2: Substitute values
Given \(v = 55\space m/sec\) and \(\lambda=1.1\space m\), then \(f=\frac{55}{1.1}\).
Step3: Calculate frequency
\(f = 50\).
For the unit:
Frequency \(f\) has units of \(Hz\) (Hertz). The formula \(f=\frac{v}{\lambda}\), with \(v\) in \(m/s\) and \(\lambda\) in \(m\), so \(\frac{m/s}{m}=s^{-1}=Hz\).
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50; C. Hz