A specific note on a musical instrument hos a frequericy of 359 Hz . Calculate the wavelength of the sound procluced it the speerd of sound in? air is \( 343 \mathrm{~m}-\mathrm{s}^{1} \). The wavelength of a longitudinal wave is 0.20 m , and the flime token to complete one wave is 30 seconcls. Calculate the speed at which tree we is travelling.

To find the wavelength of sound, you can use the formula \( \text{wavelength} = \frac{\text{speed}}{\text{frequency}} \). Given that the speed of sound is \( 343 \, \text{m/s} \) and the frequency is \( 359 \, \text{Hz} \), the calculation would be \( \lambda = \frac{343}{359} \approx 0.955 \, \text{m} \). For the speed of the wave, you can use the relationship \( \text{speed} = \frac{\text{wavelength}}{\text{period}} \). Given a wavelength of \( 0.20 \, \text{m} \) and a time for one cycle (period) of \( 30 \, \text{s} \), the speed is \( \text{speed} = \frac{0.20}{30} \approx 0.00667 \, \text{m/s} \). So, the sound wave produced by the instrument is traveling at roughly \( 0.955 \, \text{m} \) in wavelength, while the rate of the longitudinal wave is about \( 0.00667 \, \text{m/s} \).