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State the wavelength of the wave, state the period of the wave, and what is the speed of the water wave?

Physics

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Answers

3 parts
a

2 cm\textbf{2 cm}

b

0.04 s\textbf{0.04 s}

c

0.5 m/s\textbf{0.5 m/s}

Step-by-step solution

5 steps

here's the solution to your wave problem:

Part a· 1 step

To state the wavelength of the wave

  1. Read the wavelength from Figure 5.1 (Displacement vs. Distance graph).

    The wavelength (λ\lambda) is the distance for one complete wave cycle. From the graph, one complete cycle finishes at 2 cm2\, \text{cm}.
    The wavelength is 2 cm\boxed{\textbf{2 cm}}.

Part b

0.04 s\textbf{0.04 s}

To state the period of the wave

  1. Read the period from Figure 5.2 (Displacement vs. Time graph).

    The period (TT) is the time for one complete wave cycle. From the graph, one complete cycle finishes at 0.04 s0.04\, \text{s}.
    The period is 0.04 s\boxed{\textbf{0.04 s}}.

Part c

0.5 m/s\textbf{0.5 m/s}

To calculate the speed of the water wave

  1. Convert the wavelength to meters.

    λ=2 cm=0.02 m\lambda = 2\, \text{cm} = 0.02\, \text{m}

  2. Use the formula relating wave speed, wavelength, and period.

    v=λTv = \frac{\lambda}{T}

  3. Substitute the values and calculate the speed.

    v=0.02 m0.04 sv = \frac{0.02\, \text{m}}{0.04\, \text{s}} v=0.5 m/sv = 0.5\, \text{m/s}

    The speed of the water wave is 0.5 m/s\boxed{\textbf{0.5 m/s}}.

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