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A certain water wave has a wavelength of 34.2 m and a period of 9 Hz. What is the wave speed?

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WAVE SPEED

Problem:

» A certain water wave has a wavelength of 34.2 m and a period of 9 Hz. What is the wave speed?

Answer:

  • The wave speed is 307.8 m/s.

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Formula:

- To calculate the velocity/speed of a wave, use the formula:

  • [tex] \underline{ \boxed{ \tt v = f \times \lambda}} [/tex]

where,

  • [tex] \small \sf \purple v \: \: is \: the \: velocity/speed \: measured \: in \: (m/s)\\[/tex]

  • [tex]\sf \small \purple f \: \: is \: the \: frequency \: measured \: in \: Hertz \: (Hz)\\[/tex]

  • [tex] \ \small \sf \purple\lambda \: \: is \: the \: wavelength \: in \: meters \: (m)\\ [/tex]

Solution:

— Multiply the given frequency and wavelength in order to get the speed of a wave. We can use the formula above.

  • [tex] \tt \: v = f \times \lambda \\ \: \: \: \: \: \tt \: \: \: \: \: \: \: \: \: \: \: \: v = 9 \: Hz × 34.2 \: m \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: v = \underline{ \boxed{ \blue{\tt {307.8 \: m/s}}}} [/tex]

Hence, the wave speed is 307.8 m/s.