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Fill out the gray box above and click at the calculation bar of the respective column.
Frequency means oscillations (cycles) per second in Hz = hertz
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| Enter a value in the left or right box. The calculator works in both directions of the ↔ sign. |
Formula for period T
| Physical value | symbol | unit | abbreviation | formula |
| Cycle duration | T = 1 / f | second | s | T = λ / c |
| Frequency | f = 1 / T | hertz | Hz = 1/s | f = c / λ |
| Wavelength | λ | meter | m | λ = c / f |
| Wave speed | c | meter per second | m/s | c = λ × f |
| The formula for frequency is: frequency = 1 / T (period). The formula for time is: T (period) = 1 / frequency. |
The unit hertz [Hz] was once called cycles per second [cps].
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Formulas and equations for frequency and wavelength
c = λ × f λ = c / f = c × T f = c / λ
| Choose: Speed of sound in air at a temperature of 20°C: c = 343 m/s or speed of radio waves and light in a vacuum: c = 299,792,458 m/s. The propagation speed of electrical signals via optical fiber is about 9/10 the speed of light, that is ≈ 270,000 km/s. The propagation speed of electrical signals via copper cables is about 2/3 the speed of light, that is ≈ 200,000 km/s. Speed of sound c = 343 m/s also equates to 1235 km/h, 767 mph, 1125 ft/s. |
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The Angular frequency is ω = 2 π f
| Given is the equation: y = 50 sin (5000 t) Determine the frequency and amplitude. Answer: The amplitude is 50 and ω = 5000. So the frequency is f = ω / 2 π = 795.77 Hz. |
Conversion: Frequency to wavelength and vice versa
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| In physics and electrical engineering for the sinusoidal process is often used the angular frequency ω instead of the frequency f. The speed or frequency of revolution is a size at - preferably mechanical - rotating movements indicating the frequency of revolutions. For example, it is an essential feature for engines. It will be given in 1/min, as revolutions per minute, or as in rpm. |
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| y = sound pressure p (sound pressure amplitude). If the graph shows at the x axis the time t, we see the period T = 1 / f. If the graph shows at the x axis the distance d, we see the wavelength λ. The largest deflection or elongation is referred to as amplitude a. |
| Waves may be graphed as a function of time or distance. A single frequency wave will appear as a sine wave in either case. From the distance graph the wavelength may be determined. From the time graph, the period and frequency can be obtained. From both together, the wave speed can be determined. Source: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/wavplt.html |
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| In acoustics an expression for asine wave is written in the form y = A sin (2 π f T + φ). Where ω = 2 π f and A is the amplitude and where f is the frequency of the wave measured in hertz. Comparing the mathematical form y = A sin (B T + φ): With this acoustical form we see that | B | = 2 π f. Hence we have the frequency f = | B | / 2 π and the period T = 2 π / | B | = 1 / f. |
| Overtones, partials and harmonics from fundamental frequency Keyboard, frequencies = Naming of musical notes, piano keys Frequency domain of musical instruments and voices |
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