Question

2 Waves with a frequency of 2 Hz are generated in a spring. The wavelength is \( 0,4 \mathrm{~m} \). Calculate the wave speed.

Ask by Boone Lee. in South Africa
Mar 15,2025

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Tutor-Verified Answer

Answer

The wave speed is \( 0.8 \, \text{m/s} \).

Solution

1. Identify the relation for wave speed: \[ v = f \lambda \] 2. Substitute the given values \( f = 2 \, \text{Hz} \) and \( \lambda = 0.4 \, \text{m} \): \[ v = 2 \times 0.4 \] 3. Calculate the result: \[ v = 0.8 \, \text{m/s} \] The wave speed is \( 0.8 \, \text{m/s} \).

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The Deep Dive

To find the wave speed, you can use the formula \( \text{wave speed} = \text{frequency} \times \text{wavelength} \). Here, the frequency is 2 Hz and the wavelength is 0.4 m. So, plug in the values: \[ \text{wave speed} = 2 \, \text{Hz} \times 0.4 \, \text{m} = 0.8 \, \text{m/s} \] Therefore, the wave speed is 0.8 m/s. Now, isn’t it fascinating how waves transfer energy through different mediums? Think about waves in water or sound waves! Each type of wave acts similarly, but how it interacts with its environment can change significantly. In springs, for example, the elasticity helps determine how quickly these waves can travel! If you think about real-world applications, waves travel differently in various materials. For instance, sound travels faster in water compared to air! This principle explains why you might hear someone underwater before you see them. So next time you're at the beach, consider the speed of those waves and what they’re doing beneath the surface!

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