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Speed of a wave: Solve the equations for wave speed using your formula.
1. An ocean wave has a wavelength of 62 meters and a frequency of 12Hz. What is the speed of the
wave?

Sagot :

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.