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a wave with a frequency of 33 hz has a wavelength of 2.7 meters. at wha…

Question

a wave with a frequency of 33 hz has a wavelength of 2.7 meters. at what speed will this wave travel?
answer:

what are the units for this answer?
select one:

m/s
hz
m

Explanation:

Step1: Recall the wave speed formula

The formula for wave speed \(v\) is \(v = f\lambda\), where \(f\) is the frequency and \(\lambda\) is the wavelength.

Step2: Substitute the given values

Given \(f = 33\space Hz\) and \(\lambda=2.7\space m\). Substitute into the formula: \(v=(33)(2.7)\)

Step3: Calculate the value

\(v = 33\times2.7=89.1\)

For the unit part:

  • Frequency \(f\) has unit \(Hz\) (Hertz, \(s^{- 1}\)), wavelength \(\lambda\) has unit \(m\) (meters).
  • Using \(v = f\lambda\), substituting units: \((s^{-1})\times(m)=m/s\)

Answer:

89.1 (for the first question)
A. m/s (for the second question)