A source produces 2000 sound waves in 4 seconds. The distance between two consecutive compressions is 55cm. Find the frequency, wavelength and speed of sound wave
To find the frequency, wavelength, and speed of a sound wave, we can use the following formulas:
1. Frequency (f) = Number of waves / Time taken
2. Wavelength (λ) = Speed of sound (v) / Frequency (f)
3. Speed of sound (v) = Wavelength (λ) * Frequency (f)
Let's calculate each value step-by-step.
1. To find the frequency (f), we need to determine the number of waves and the time taken. In this case, the source produces 2000 sound waves in 4 seconds, so the frequency can be calculated as:
f = 2000 waves / 4 seconds = 500 Hz
2. To find the wavelength (λ), we need the speed of sound (v) and the frequency (f). Since the speed of sound is not provided, we'll find it later. The formula for wavelength is:
λ = v / f
3. To find the speed of sound (v), we need the wavelength (λ) and the frequency (f). Rearranging the formula from step 2, we have:
v = λ * f
Now, let's find the missing variables.
4. Substitute the frequency (f) we found from step 1 into the formula for wavelength (λ):
λ = v / f
5. Substitute the wavelength (λ) into the formula for speed of sound (v):
v = λ * f
6. Finally, substitute the values calculated for wavelength (λ) and frequency (f) into the formula for speed of sound (v):
v = λ * f
Let's calculate the values.
Frequency (f) = 500 Hz
Wavelength (λ) = Speed of sound (v) / Frequency (f)
Speed of sound (v) = Wavelength (λ) * Frequency (f)