Question

the speed of a wave is 97 m/sec. if the wavelength of the wave is 2.7 meters, what is the frequency of the wave?
answer
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10
what are the units for this answer?
select one:
hz
m
m/s
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Explanation:

Step1: Recall wave speed formula

The formula relating wave speed (\(v\)), wavelength (\(\lambda\)), and frequency (\(f\)) is \(v = f\lambda\). We need to solve for \(f\), so rearrange the formula to \(f=\frac{v}{\lambda}\).

Step2: Substitute values

Given \(v = 97\space m/s\) and \(\lambda=2.7\space m\), substitute into the formula: \(f=\frac{97}{2.7}\).

Step3: Calculate the frequency

\(f=\frac{97}{2.7}\approx35.93\space Hz\) (since frequency is measured in Hertz, \(Hz\), which is \(1/s\) or \(s^{-1}\), and from the formula \(f=\frac{v}{\lambda}\), units of \(v\) are \(m/s\) and \(\lambda\) are \(m\), so \(\frac{m/s}{m}=\frac{1}{s}=Hz\)).

For the units question, frequency is measured in Hertz (\(Hz\)), so the correct unit is \(Hz\).

Answer:

(for frequency calculation):
\(\approx35.93\space Hz\)