Question

a sound wave has a frequency of 220 hz and travels through air at 330 m/s. what is its wavelength? answer: type your answer... m

Explanation:

Step1: Recall the wave speed formula

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

Step2: Substitute the given values

We know that \(v = 330\space m/s\) and \(f = 220\space Hz\). Substituting these values into the formula \(\lambda=\frac{v}{f}\), we get \(\lambda=\frac{330}{220}\).

Step3: Simplify the fraction

Simplifying \(\frac{330}{220}\), we can divide both the numerator and the denominator by 110, which gives \(\frac{3}{2}=1.5\).

Answer:

1.5