6 Calculate the wavelength of a wave with a speed of \( 80 \mathrm{~m} \cdot \mathrm{~s}^{-1} \) and the frequency of 50

To calculate the wavelength of a wave, you can use the formula: \[ \text{Wavelength} (\lambda) = \frac{\text{Speed} (v)}{\text{Frequency} (f)} \] In this case, the speed \( v \) is \( 80 \, \text{m/s} \) and the frequency \( f \) is \( 50 \, \text{Hz} \). Plugging in the values, we have: \[ \lambda = \frac{80 \, \text{m/s}}{50 \, \text{Hz}} = 1.6 \, \text{m} \] So, the wavelength of the wave is \( 1.6 \, \text{m} \). --- Did you know that the concept of wavelength is integral to many technologies we use daily? From the radio waves that bring music to our cars to the microwaves that heat our food, understanding wave properties makes these innovations possible. Often in physics problems, students forget to convert units. If you're encountering waves often, keep a unit converter handy! It's easy to miscalculate if your frequency is in kilohertz instead of hertz—just a small slip can lead to big errors, so double-check your figures!