Find the frequency of a sound wave moving in air at room temperature (20.0) with a wavelength of 0.667 m.
Is the formula F=1/T?
λ=v/f
Speed of sound at 20⁰ v=343.1 m/s
f=v/ λ=343.1/0.667=517.4 Hz
No, the formula for frequency (F) is f = 1/T, where T represents the period of the wave. To find the frequency, we need to use the formula velocity (v) = wavelength (λ) × frequency (f).
Since the speed of sound in air at room temperature is approximately 343 m/s, we can rearrange the formula and solve for frequency:
velocity (v) = wavelength (λ) × frequency (f)
343 m/s = 0.667 m × f
Now, we can solve for f (frequency):
f = 343 m/s / 0.667 m
f ≈ 514.243 Hz
Therefore, the frequency of the sound wave is approximately 514.243 Hz.
Yes, the formula F = 1/T can be used to calculate the frequency of a wave. In this formula, F represents the frequency of the wave, and T represents the time period of one complete wave cycle.
To find the frequency of a sound wave, you need to know the wave's time period or its wavelength. The time period refers to the time it takes for one complete cycle of the wave to occur, while the wavelength represents the distance between two consecutive peaks or troughs of the wave.
If you are given the wavelength (λ) of the sound wave, you can calculate its frequency (F) using the formula: F = c / λ
Where:
- F represents the frequency in Hertz (Hz)
- c is the speed of sound in air, which is approximately 343 meters per second at room temperature.
Now, let's calculate the frequency of the sound wave with a wavelength of 0.667 m. Using the formula F = c / λ, we can substitute the values:
F = 343 m/s / 0.667 m
F ≈ 514.24 Hz
Therefore, the frequency of the sound wave is approximately 514.24 Hz.