To find the speed of a wave, we use the wave speed formula:
[tex]\[ v = f \times \lambda \][/tex]
where:
- [tex]\( v \)[/tex] represents the wave speed,
- [tex]\( f \)[/tex] is the frequency of the wave,
- [tex]\( \lambda \)[/tex] (lambda) is the wavelength.
Given the values:
- The wavelength ([tex]\( \lambda \)[/tex]) is 62 meters,
- The frequency ([tex]\( f \)[/tex]) is 12 Hz.
Now, substitute these values into the formula:
[tex]\[ v = 12 \, \text{Hz} \times 62 \, \text{meters} \][/tex]
By performing the multiplication, we obtain:
[tex]\[ v = 744 \, \text{meters per second} \][/tex]
Therefore, the speed of the ocean wave is 744 meters per second.