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The wavelength of a longitudinal wave is \( 0,20 \mathrm{~m} \), and the time taken to complete one wave is 30 seconds. Catcutate the speed at which the wave is travelling.

Ask by Johnston Blake. in South Africa
Jan 23,2025

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The wave is traveling at approximately 0.00667 meters per second.

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To find the speed of the wave, you can use the formula: \[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \] First, we need to calculate the frequency of the wave. The frequency is the reciprocal of the time period (time taken to complete one wave). So, the frequency \( f \) can be calculated as: \[ f = \frac{1}{\text{Time Period}} = \frac{1}{30 \text{ seconds}} = \frac{1}{30} \text{ Hz} \] Now, substituting the values into the speed formula: \[ \text{Speed} = 0.20 \text{ m} \times \frac{1}{30} \text{ Hz} = \frac{0.20 \text{ m}}{30 \text{ s}} \approx 0.00667 \text{ m/s} \] So, the speed at which the wave is travelling is approximately \( 0.00667 \text{ m/s} \). Not so speedy, huh? But even the slowest waves have their charm! They create those soothing sounds of ripples and echoes we all love.

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