General periodic-wave relation
Documented Phase-Speed Wavelength Calculator
Calculate wavelength and related quantities from frequency and a documented phase velocity,or use the exact SI speed of light for an electromagnetic wave in vacuum.
Wave quantities
Implemented relations
T=1/f
k=2π/λ (rad/m)
ν̃=1/λ (cycles/m)
ω=2πf (rad/s)
f is frequency in hertz,vp is phase speed in metres per second,λ is wavelength in metres,T is period in seconds,k is spatial angular wavenumber,and ν̃ is ordinary spatial frequency. Dimensional check:(m/s)/(1/s)=m.
Primary references
OpenStax University Physics,Volume1,Chapter16 key equations gives v=λ/T=λf,k=2π/λ and v=ω/k. BIPM SI Brochure,9th edition,Appendix2 v1.2 (19June2026) states the fixed vacuum speed c=299792458m/s.
Why there is no material drop-down
A single label such as “steel”,“aluminium”,“concrete”,“water” or “air” does not fully define phase speed. Elastic-wave speed depends on wave family and material properties; structural and guided waves may be dispersive. Fluid/gas speeds depend on state and composition. Use project data for the relevant mode,direction,frequency and conditions. The vacuum mode is the only built-in speed because c is an exact SI defining constant.
No acceptance or detectability claim
The result is general wave arithmetic,not an ISO calculation and not a defect-size,sensor-spacing or structural-mode criterion. Ultrasonic detectability and vibration sensor placement depend on the complete measurement and propagation problem,not wavelength alone.
Nikolai Shelkovenko
Nikolai Shelkovenko is a vibration analysis engineer and the founder and CEO of Vibromera. For more than 15 years he has balanced rotating equipment in the field rather than on a test bench: mulchers, industrial fans, crushers, centrifuges, shafts and spindles. That work is what the Balanset instruments grew out of — they were designed as a tool a specialist can carry to the machine and use alone, on site, not as laboratory equipment. Vibromera was founded in 2017 and has been based in Porto, Portugal, since 2023. Development, assembly and support of the Balanset line all happen here. The flagship instrument is the Balanset-1A, a portable analyser for single- and two-plane balancing and for vibration diagnostics. Nikolai is personally involved in customer support, in working through difficult balancing cases and in the development of the software. He works with customers worldwide, in any language.
