Mathematics

Frequency Calculator

Wavelength & Frequency Calculator

Frequency f (Hz)

Wave speed v (m/s)

What is Frequency Calculator?

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A frequency calculator computes the frequency of a wave from its period, or vice versa. Also converts between frequency and wavelength using the wave speed equation.

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Formula

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f(x)Frequency = number of occurrences / total time period; Period (T) = 1 / frequency; Hz = cycles per second

Variable Legend

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Symbol	Name	Unit	Description
f	Frequency	Hz (cycles/sec)	—
T	Period	seconds	—
n	Number of cycles	count	—

How to Frequency Calculator

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1f = 1/T (frequency = 1 / period)
2T = 1/f (period = 1 / frequency)
3For electromagnetic waves: λ = c/f where c = speed of light
4For sound: λ = v_sound/f where v_sound ≈ 343 m/s at 20°C

Worked Examples

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Example 1

Given:Period T = 0.005 seconds

Result:f = 1/0.005 = 200 Hz

Example 2

Given:Radio frequency 100 MHz

Result:λ = 3×10⁸/10⁸ = 3 metres

Real-World Applications

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Audio engineering and acoustics

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Electrical power systems monitoring

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Telecommunications and signal analysis

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Vibrational analysis in mechanical systems

Frequency Spectrum

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Type	Frequency range	Wavelength
Infrasound	< 20 Hz	> 17 m
Human hearing	20 Hz–20 kHz	17 m–1.7 cm
FM radio	87–108 MHz	2.8–3.4 m
WiFi 2.4GHz	2.4 GHz	12.5 cm
Visible light	430–770 THz	390–700 nm

Frequently Asked Questions

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What's a hertz?

1 Hz = 1 cycle per second. AC power is 50 Hz (UK) or 60 Hz (USA).

How do frequency and wavelength relate?

Wavelength (λ) = speed (c) / frequency (f). Higher frequency = shorter wavelength.

Can I measure frequency at home?

Yes, using oscilloscopes, frequency meters, or smartphone apps for sound. Requires appropriate equipment for precise measurement.

References

›Wave frequency — Khan Academy

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Wavelength vs Frequency

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Reviewed October 2026

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