Wave Speed, Frequency, and Wavelength Calculations

Vocabulary and calculation flashcards covering sonar, radio signal comparisons, and seismic wave physics problems.

Rescue Boat Sonar Wave Speed

The speed of a sonar wave with a frequency of $2,500\,\text{Hz}$ and a wavelength of $0.60\,\text{m}$, calculated as $v = f \times \lambda = 1,500\,\text{m/s}$.

Rescue Boat Sonar Distance Traveled

The distance traveled in $4\,\text{seconds}$ by a sonar wave moving at $1,500\,\text{m/s}$, calculated as $\text{distance} = v \times t = 6,000\,\text{m}$.

Signal A Wavelength Conversion

The wavelength of Signal A converted from $2.5\,\text{km}$ to meters, which equals $2,500\,\text{m}$.

Signal A Speed

The calculated speed of Signal A with a frequency of $120,000\,\text{Hz}$ and a wavelength of $2,500\,\text{m}$, which equals $300,000,000\,\text{m/s}$.

Signal B Wavelength

The calculated wavelength of Signal B traveling at $300,000,000\,\text{m/s}$ with a frequency of $100,000\,\text{Hz}$, which equals $3,000\,\text{m}$.

Mountain Communication Signal Wavelength Comparison

Signal B has the longer wavelength ($3,000\,\text{m}$) compared to Signal A ($2,500\,\text{m}$), exceeding Signal A by $500\,\text{m}$.

Seismic Wave Distance Conversion

The distance traveled by the seismic wave converted from $18\,\text{km}$ into meters, which equals $18,000\,\text{m}$.

Seismic Wave Speed

The calculated wave speed of a seismic wave traveling $18,000\,\text{m}$ in $6\,\text{seconds}$, using $\text{speed} = \frac{\text{distance}}{\text{time}} = 3,000\,\text{m/s}$.

Seismic Wave Wavelength

The wavelength of a seismic wave with a speed of $3,000\,\text{m/s}$ and a frequency of $5\,\text{Hz}$, calculated using the wave equation as $\lambda = \frac{v}{f} = 600\,\text{m}$.

Seismic Wave New Wavelength (Doubled Frequency)

The new wavelength when the seismic wave frequency doubles to $10\,\text{Hz}$ while speed remains constant at $3,000\,\text{m/s}$, which equals $300\,\text{m}$.