Mechanical waves are observed to have a wavelength of 300 m and a frequency of 0.7 Hz. The velocity of these waves i

1. Break Down the Problem

To find the velocity of mechanical waves, we need to use the relationship between velocity, frequency, and wavelength. The formula is given by: $v = f \cdot \lambda$ where:

• $v$ = velocity of the wave
• $f$ = frequency of the wave
• $\lambda$ = wavelength of the wave

2. Relevant Concepts

• Wavelength ($\lambda$) = 300 m
• Frequency ($f$) = 0.7 Hz

3. Analysis and Detail

Using the formula $v = f \cdot \lambda$: $v = 0.7 \, \text{Hz} \times 300 \, \text{m}$ Calculating it step by step:

1. Multiply the frequency and wavelength: $v = 0.7 \cdot 300 = 210 \, \text{m/s}$

4. Verify and Summarize

The calculations show that the velocity of the mechanical waves is correctly computed by multiplying the frequency by the wavelength.

Final Answer

The velocity of the mechanical waves is $210 \, \text{m/s}$.