To determine the speed of the wave, we use the wave speed formula:
[tex]\[ v = f \times \lambda \][/tex]
Where:
- [tex]\( v \)[/tex] represents the speed of the wave,
- [tex]\( f \)[/tex] represents the frequency of the wave, and
- [tex]\( \lambda \)[/tex] represents the wavelength of the wave.
Given:
- The frequency ([tex]\( f \)[/tex]) is [tex]\( 240 \)[/tex] Hz,
- The wavelength ([tex]\( \lambda \)[/tex]) is [tex]\( 3.0 \)[/tex] meters.
Substitute the given values into the formula:
[tex]\[ v = 240 \, \text{Hz} \times 3.0 \, \text{m} \][/tex]
Multiplying these values gives:
[tex]\[ v = 720 \, \text{m/s} \][/tex]
Therefore, the speed of the wave is:
[tex]\[ \boxed{720 \, \text{m/s}} \][/tex]
