Frame Rate & Delta Time Calculator
ANA›Life Services Authority›National Calculator Authority›Frame Rate & Delta Time 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; } }
Frame Rate & Delta Time Calculator
Calculate frame rate (FPS), delta time (ms per frame), total frames, and playback duration for animations, games, and video production.
Frame Rate (FPS)
Delta Time (ms per frame)
Total Duration (seconds)
Total Frames
Fill in any two fields — the rest will be calculated.
Calculate
function fraCalc() { const fpsEl = document.getElementById('fra-fps'); const deltaEl = document.getElementById('fra-delta'); const durEl = document.getElementById('fra-duration'); const framesEl = document.getElementById('fra-frames'); const resultEl = document.getElementById('fra-result');
const fpsRaw = fpsEl.value.trim(); const deltaRaw = deltaEl.value.trim(); const durRaw = durEl.value.trim(); const framesRaw = framesEl.value.trim();
const filled = [fpsRaw, deltaRaw, durRaw, framesRaw].filter(v => v !== '').length;
if (filled Please fill in at least two fields.'; return; }
let fps = fpsRaw !== '' ? parseFloat(fpsRaw) : null; let delta = deltaRaw !== '' ? parseFloat(deltaRaw) : null; let dur = durRaw !== '' ? parseFloat(durRaw) : null; let frames = framesRaw !== '' ? parseFloat(framesRaw) : null;
// Validate provided values if (fps !== null && (isNaN(fps) || fps FPS must be a positive number.'; return; } if (delta !== null && (isNaN(delta) || delta Delta time must be a positive number.'; return; } if (dur !== null && (isNaN(dur) || dur Duration must be a positive number.'; return; } if (frames !== null && (isNaN(frames) || frames Total frames must be >= 1.'; return; }
// --- Derive unknowns --- // Relationships: // delta (ms) = 1000 / fps // fps = 1000 / delta // frames = fps * dur // dur = frames / fps
// Step 1: resolve fps delta if (fps === null && delta !== null) fps = 1000.0 / delta; if (delta === null && fps !== null) delta = 1000.0 / fps;
// Step 2: resolve dur frames using fps if (fps !== null) { if (dur === null && frames !== null) dur = frames / fps; if (frames === null && dur !== null) frames = fps * dur; }
// Step 3: if fps still unknown, derive from dur & frames if (fps === null && dur !== null && frames !== null) { fps = frames / dur; delta = 1000.0 / fps; }
// Final check if (fps === null || delta === null || dur === null || frames === null) { resultEl.innerHTML = 'Not enough information to solve. Please provide two independent values.'; return; }
if (fps Derived values are invalid. Check your inputs.'; return; }
// Populate solved fields fpsEl.value = parseFloat(fps.toFixed(6)); deltaEl.value = parseFloat(delta.toFixed(6)); durEl.value = parseFloat(dur.toFixed(6)); framesEl.value = Math.round(frames);
// Extra derived metrics const framesDec = fps * dur; // exact (non-rounded) const deltaS = delta / 1000.0; // seconds per frame const halfDelta = delta / 2.0; // half delta (ms) const simSteps60 = Math.round(frames * (60.0 / fps));// equivalent frames at 60 FPS
resultEl.innerHTML = '### Results ' + '' + 'MetricValue' + 'Frame Rate' + fps.toFixed(4) + ' FPS' + 'Delta Time' + delta.toFixed(4) + ' ms / frame' + 'Delta Time (seconds)' + deltaS.toFixed(6) + ' s / frame' + 'Half Delta Time' + halfDelta.toFixed(4) + ' ms' + 'Total Duration' + dur.toFixed(4) + ' s' + 'Total Frames (exact)' + framesDec.toFixed(2) + '' + 'Total Frames (rounded)' + Math.round(frames) + '' + 'Equivalent Frames @ 60 FPS' + simSteps60 + '' + ''; }
#### Formulas
Delta Time (ms): Δt = 1000 / FPS Frame Rate (FPS): FPS = 1000 / Δt Total Frames: N = FPS × Duration (s) Duration (s): T = N / FPS Half Delta: Δthalf = Δt / 2 (used in mid-point integration)
#### Assumptions & References
- Frame rate is assumed constant throughout the sequence (no variable refresh rate).
- In game engines (Unity, Unreal, Godot) Time.deltaTime is measured in seconds; multiply by 1000 for milliseconds.
- Half-delta is used in Verlet / leapfrog integration for physics simulations.
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