Wave Frequency and Wavelength Calculator

ANA›Life Services Authority›National Calculator Authority›Wave Frequency and Wavelength Calculator

.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }

Wave Frequency and Wavelength Calculator

Calculate any one of wave speed, frequency, or wavelength given the other two using the fundamental wave equation.

Wave Speed (m/s) (leave blank to calculate)

Frequency (Hz) (leave blank to calculate)

Wavelength (m) (leave blank to calculate)

Calculate Fill in any two fields and click Calculate.

function wavCalc() { const resultEl = document.getElementById('wav_result');

const vRaw = document.getElementById('wav_speed').value.trim(); const fRaw = document.getElementById('wav_freq').value.trim(); const wRaw = document.getElementById('wav_wl').value.trim();

const vBlank = vRaw === ''; const fBlank = fRaw === ''; const wBlank = wRaw === '';

const blanks = [vBlank, fBlank, wBlank].filter(Boolean).length;

if (blanks === 0) { resultEl.innerHTML = 'Please leave exactly one field blank to calculate.'; return; } if (blanks > 1) { resultEl.innerHTML = 'Please fill in at least two fields. Only one field can be calculated at a time.'; return; }

const v = parseFloat(vRaw); const f = parseFloat(fRaw); const w = parseFloat(wRaw);

// Validate provided values if (!vBlank && (isNaN(v) || v Wave speed must be a positive number.'; return; } if (!fBlank && (isNaN(f) || f Frequency must be a positive number.'; return; } if (!wBlank && (isNaN(w) || w Wavelength must be a positive number.'; return; }

let calcV, calcF, calcW, label, value, unit, detail;

if (vBlank) { // v = f * λ calcV = f * w; label = 'Wave Speed'; value = calcV; unit = 'm/s'; detail = v = f × λ = ${f} Hz × ${w} m = **${fmt(calcV)} m/s**; } else if (fBlank) { // f = v / λ calcF = v / w; label = 'Frequency'; value = calcF; unit = 'Hz'; detail = f = v ÷ λ = ${v} m/s ÷ ${w} m = **${fmt(calcF)} Hz**; } else { // λ = v / f calcW = v / f; label = 'Wavelength'; value = calcW; unit = 'm'; detail = λ = v ÷ f = ${v} m/s ÷ ${f} Hz = **${fmt(calcW)} m**; }

if (!isFinite(value) || value Result is invalid. Please check your inputs.'; return; }

// Extra human-friendly conversions let extras = ''; if (fBlank) { const khz = value / 1e3; const mhz = value / 1e6; const ghz = value / 1e9; if (ghz >= 1) extras = (${fmt(ghz)} GHz); else if (mhz >= 1) extras = (${fmt(mhz)} MHz); else if (khz >= 1) extras = (${fmt(khz)} kHz); } if (wBlank) { const nm = value * 1e9; const um = value * 1e6; const mm = value * 1e3; const km = value / 1e3; if (km >= 1) extras = (${fmt(km)} km); else if (mm >= 1) extras = (${fmt(mm)} mm); else if (um >= 1) extras = (${fmt(um)} μm); else if (nm >= 1) extras = (${fmt(nm)} nm); } if (vBlank) { const kmh = value * 3.6; extras = (${fmt(kmh)} km/h); }

resultEl.innerHTML = '' + label + ': ' + fmt(value) + ' ' + unit + extras + '' + '' + detail + ''; }

function fmt(n) { if (n === 0) return '0'; const abs = Math.abs(n); if (abs >= 1e9 || abs = 1000) return parseFloat(n.toPrecision(6)).toLocaleString(); return parseFloat(n.toPrecision(6)).toString(); }

#### Formula

v = f × λ

Rearranged:

#### Assumptions & References

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References

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