About

Frequency conversion is a fundamental necessity in acoustics, radio frequency (RF) engineering, and mechanical vibration analysis. This tool provides high-precision conversion between temporal frequency (Hertz) and angular velocity or rotational speed.

Beyond simple unit scaling, this utility calculates the physical wavelength (λ) for both sound waves in standard atmosphere and electromagnetic waves in a vacuum. This context is critical for antenna design and room acoustics optimization, where physical dimensions must align with specific frequencies.

Formulas

The relationship between frequency f, wave speed v, and wavelength λ is inverse.

Wavelength Formula:

λ = vf

Where v_sound ≈ 343 m/s (at 20°C) and v_light = c ≈ 299,792,458 m/s.

Reference Data

Frequency	Unit	Equivalent	Wavelength (Sound)	Wavelength (Radio/Light)
60	Hz	3600 RPM	5.72 m	5000 km
440	Hz	(A4 Note)	0.78 m	681 km
1	kHz	1000 Hz	34.3 cm	300 km
100	MHz	FM Radio	N/A	3.0 m
2.4	GHz	Wi-Fi	N/A	12.5 cm

Frequently Asked Questions

Hertz (Hz) measures cycles per second, while RPM measures revolutions per minute. Since there are 60 seconds in a minute, 1 Hz = 60 RPM. Formula: Hz = RPM / 60.

In audio, wavelength determines how bass frequencies interact with room dimensions (standing waves). In RF, it dictates the required length of an antenna (usually 1/4 or 1/2 wavelength) for efficient transmission.

Likely not. The theoretical human range is 20Hz to 20kHz, but upper hearing sensitivity degrades with age. Most adults cannot hear above 15-17kHz. Use the Tone Generator with caution at high volumes.