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6. A wave traveling through water has a frequency of 5 Hz and a wavelength of 2 meters. What is the speed of the wave? (Use the wave equation: speed \( = \) frequency \( \times \) wavelength) i points each)

Ask by Dawson Kirk. in the United States
Feb 25,2025

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The speed of the wave is 10 meters per second.

Solution

To find the speed of the wave, we can use the wave equation: \[ \text{Speed} = \text{Frequency} \times \text{Wavelength} \] Given: - Frequency (\( f \)) = 5 Hz - Wavelength (\( \lambda \)) = 2 meters Substitute the given values into the wave equation to find the speed of the wave. Calculate the value by following steps: - step0: Calculate: \(5\times 2\) - step1: Multiply the numbers: \(10\) The speed of the wave is 10 meters per second.

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The Deep Dive

To find the speed of the wave, you can use the wave equation: speed = frequency × wavelength. Here, the frequency is 5 Hz, and the wavelength is 2 meters. So, the speed of the wave is calculated as follows: speed = 5 Hz × 2 m = 10 m/s. This means the wave is zooming through the water at a speed of 10 meters per second! Waves in water are not just a fascinating concept in physics; they have real-world applications too! Think about surfers riding the waves, where understanding wave speed can help in predicting the best surf conditions. Additionally, tidal waves and tsunamis, which are also water waves, rely on these principles for forecasting their arrival time and potential impact on coastal areas. Knowing how waves behave can save lives and create thrilling recreational opportunities!

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