Sound Wave Travel Time Calculation
Given Information
- Frequency (\(f\)): 4 kHz = \(4 \times 10^3\) Hz
- Wavelength (\(\lambda\)): 25 cm = 0.25 m
- Distance (\(d\)): 2.5 km = 2500 m
Calculations
First, calculate the speed of the sound wave (\(v\)) using the formula:
\(v = f \times \lambda\)
Substitute the given values:
\(v = (4 \times 10^3 \text{ Hz}) \times (0.25 \text{ m})\)
\(v = 1000 \text{ m/s}\)
Next, calculate the time (\(t\)) taken to travel the distance (\(d\)) using the formula:
\(t = \frac{d}{v}\)
Substitute the distance and calculated speed:
\(t = \frac{2500 \text{ m}}{1000 \text{ m/s}}\)
\(t = 2.5 \text{ s}\)
Result
The time taken for the sound wave to travel 2.5 km is 2.5 seconds.
Similar Questions
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