Speed of a Wave Calculation: Reflecting on the Relationship Between Frequency and Wavelength

What is the speed of a wave that has a frequency of 110 Hz and a wavelength of 0.21 m?

A. 23.1 m/s
B. 0.04 m/s
C. 523 m/s
D. 0.002 m/s

Answer:

The speed of the wave of wavelength 0.21 m is 23.1 m/s. And the correct answer is A. 23.1 m/s.

Reflecting on the relationship between frequency, wavelength, and the speed of a wave can lead to a deeper understanding of wave properties. In this scenario, we are given a frequency of 110 Hz and a wavelength of 0.21 m, and we are asked to determine the speed of the wave.

To calculate the speed of a wave, we can use the formula: speed (s) = wavelength (λ) x frequency (f). By multiplying the given wavelength of 0.21 m by the frequency of 110 Hz, we arrive at a speed of 23.1 m/s.

This calculation showcases the direct relationship between frequency and wavelength in determining the speed of a wave. It highlights the importance of understanding how these factors interact to produce specific wave characteristics.

By reflecting on this calculation and the formula used to derive the speed of a wave, we can appreciate the foundational principles of wave mechanics and how they manifest in real-world scenarios. This exercise prompts us to explore the connections between different wave properties and deepen our knowledge of wave behavior.