Speed Converter
From Walking Pace to Light Speed: Mastering Speed and Velocity
A clear map of speed units across road transport, aviation, nautical navigation, science and spaceflight. Learn how Mach works, how to convert confidently, and when each unit is best.
Foundations of Speed
Distance Over Time
Speed quantifies how fast position changes: v = distance/time.
Velocity includes direction; everyday usage often says "speed".
- SI base: m/s
- Popular display: km/h, mph
- Knots at sea and in aviation
Mach and Regimes
Mach compares speed to local speed of sound (varies with temperature/altitude).
Flight regimes (subsonic → hypersonic) guide aircraft design and performance.
- Subsonic: Ma < 0.8
- Transonic: ≈ 0.8–1.2
- Supersonic: > 1.2; Hypersonic: > 5
Nautical Conventions
Navigation uses the nautical mile (1,852 m) and the knot (1 nmi/h).
Distances and speeds align with latitude/longitude for charting.
- 1 kn = 1.852 km/h
- Nautical mile ties to Earth geometry
- Knots standard in maritime and aviation
- Convert via m/s for clarity and accuracy
- Mach depends on temperature/altitude (local speed of sound)
- Use knots at sea/in the air; mph or km/h on roads
Why Mach Changes
Temperature and Altitude
Mach uses the local speed of sound a, which depends on air temperature.
At higher altitude (colder air), a is lower, so the same m/s is a higher Mach.
- Sea level (≈15°C): a ≈ 340 m/s
- 11 km (−56.5°C): a ≈ 295 m/s
- Same true airspeed → higher Mach at altitude
Rule of Thumb
Mach = TAS / a. Always specify conditions when quoting Mach.
- TAS: true airspeed
- a: local speed of sound (depends on temperature)
Quick Reference
Common Road Signs
Typical speed limits (varies by country):
- Urban: 30–60 km/h (20–40 mph)
- Rural: 80–100 km/h (50–62 mph)
- Highway: 100–130 km/h (62–81 mph)
Airspeed vs Ground Speed
Wind changes ground speed but not indicated airspeed.
- Headwind lowers GS; tailwind raises GS
- IAS is used for aircraft performance
- Knots (kt) common in reports
Where Each Unit Fits
Road & Transport
Road signs use km/h (most countries) or mph (US/UK).
- km/h dominates globally
- mph common in US/UK
- m/s preferred in engineering
Aviation
Pilots use knots and Mach; ground speed may be in kt or km/h.
- Indicated airspeed vs true airspeed
- Mach for high altitude
- kt standard reporting unit
Maritime
Seafaring uses knots for speed and nautical miles for distance.
- 1 kn = 1 nmi/h
- Currents and wind affect speed over ground
Science & Space
Physics and spaceflight use m/s; reference values include speed of sound and speed of light.
- c = 299,792,458 m/s
- Orbital speeds vary by altitude
- Supersonic/hypersonic regimes
Speed Regimes (Air, Sea Level Approx.)
| Regime | Mach range | Typical context |
|---|---|---|
| Subsonic | < 0.8 | Airliners, GA cruise (economy) |
| Transonic | ≈ 0.8 – 1.2 | Drag rise region; high‑subsonic jets |
| Supersonic | > 1.2 | Concorde, supersonic fighters |
| Hypersonic | > 5 | Reentry vehicles, experimental craft |
Road & Transport Applications
Automotive speed measurement balances legal requirements, safety, and performance testing across different regional standards.
- **Global speed limits:** Urban 30–60 km/h (20–37 mph); highways 80–130 km/h (50–81 mph); Germany's Autobahn has unrestricted sections
- **Performance benchmarks:** 0–100 km/h (0–60 mph) acceleration is the industry standard; supercars achieve this in under 3 seconds
- **Speed enforcement:** Radar guns measure speed using Doppler shift; typical accuracy ±2 km/h (±1 mph)
- **GPS speedometers:** More accurate than mechanical speedometers (which can read 5–10% high for safety margins)
- **Racing circuits:** F1 cars reach 370 km/h (230 mph); top speeds limited by drag, downforce trade-offs
- **Electric vehicles:** Instant torque enables faster 0–100 km/h than comparable ICE vehicles despite often lower top speeds
Aviation & Aerospace Applications
Aircraft speed measurement distinguishes between indicated airspeed (IAS), true airspeed (TAS), and ground speed (GS) — critical for safety and navigation.
- **IAS (Indicated Airspeed):** What the pilot sees; based on dynamic pressure. Used for aircraft performance limits (stall speed, max speed)
- **TAS (True Airspeed):** Actual speed through air mass; higher than IAS at altitude due to lower air density. TAS = IAS × √(ρ₀/ρ)
- **Ground Speed (GS):** Speed over ground; TAS ± wind. Tailwinds increase GS; headwinds decrease it. Critical for navigation and fuel planning
- **Mach number:** Aircraft performance changes dramatically near Ma = 1 (transonic region); shock waves form, drag increases sharply
- **Airliner cruise:** Typically Ma 0.78–0.85 (optimum fuel efficiency); equals ≈850–900 km/h (530–560 mph) at cruise altitude
- **Military jets:** F-15 max speed Ma 2.5+ (2,655 km/h / 1,650 mph); SR-71 Blackbird held Ma 3.3 (3,540 km/h / 2,200 mph) record
- **Re-entry speeds:** Space Shuttle entered atmosphere at Ma 25 (8,000 m/s, 28,000 km/h, 17,500 mph) — extreme heating requires thermal protection
Maritime & Nautical Navigation
Maritime speed measurement uses knots and nautical miles — units tied directly to Earth's geometry for seamless chart navigation.
- **Why nautical miles?** 1 nautical mile = 1 minute of latitude = 1,852 meters exactly (by international agreement 1929). Makes chart plotting intuitive
- **Origin of knots:** Sailors used a 'log line' with knots tied at regular intervals. Count knots passing over stern in fixed time = speed in knots
- **Ship speeds:** Container ships cruise at 20–25 kn (37–46 km/h); cruise ships 18–22 kn; fastest passenger ship (SS United States) reached 38.32 kn (71 km/h)
- **Current effects:** Gulf Stream flows at 2–5 kn eastward; ships utilize or avoid currents to save fuel and time
- **Dead reckoning:** Navigate by tracking speed and heading over time. Accuracy depends on precise speed measurement and current compensation
- **Speed through water vs over ground:** GPS gives speed over ground; log measures speed through water. Difference reveals current strength/direction
Scientific & Physics Applications
Scientific measurements use m/s and reference speeds that define physical regimes — from molecular motion to cosmic velocities.
- **Speed of sound (air, 20°C):** 343 m/s (1,235 km/h, 767 mph). Varies with √T; increases ~0.6 m/s per °C. Used to define Mach number
- **Speed of sound (water):** ≈1,480 m/s (5,330 km/h) — 4.3× faster than air. Sonar and submarine detection rely on this
- **Speed of sound (steel):** ≈5,960 m/s (21,460 km/h) — 17× faster than air. Ultrasonic testing uses this for flaw detection
- **Escape velocity (Earth):** 11.2 km/s (40,320 km/h, 25,000 mph) — minimum speed to escape Earth's gravity without propulsion
- **Orbital velocity (LEO):** ≈7.8 km/s (28,000 km/h, 17,500 mph) — ISS orbital speed; balances gravity with centrifugal force
- **Earth's rotation:** Equator moves at 465 m/s (1,674 km/h, 1,040 mph) eastward; used by rockets launching east for velocity boost
- **Speed of light (c):** 299,792,458 m/s exactly (by definition). Universal speed limit; nothing with mass can reach c. Time dilation occurs at relativistic speeds (>0.1c)
- **Particle accelerators:** Large Hadron Collider accelerates protons to 0.9999999c (≈299,792,455 m/s) — energy increases dramatically near c
Historical & Cultural Speed Units
- **Furlong per fortnight:** Humorous unit = 1 furlong (⅓ mile) per 14 days ≈ 0.000166 m/s (0.6 m/h). Used in physics jokes and Douglas Adams' works
- **League per hour:** Medieval travel speed; 1 league ≈ 3 miles (4.8 km), so 1 league/h ≈ 1.3 m/s (4.8 km/h) — typical walking pace. Appears in Jules Verne novels
- **Roman pace (passus):** Roman mile = 1,000 paces (≈1.48 km). Marching legions covered 20–30 Roman miles/day (30–45 km/day, ≈1.5 m/s average)
- **Verst per hour (Russian):** 1 verst = 1.0668 km; used in 19th century Russia. Train speeds quoted in versts/hour (War and Peace references)
- **Li per day (Chinese):** Traditional Chinese li ≈ 0.5 km; long-distance travel measured in li/day. Silk Road caravans: 30–50 li/day (15–25 km/day)
- **Admiralty knot (pre-1954):** British definition 6,080 ft/h = 1.85318 km/h (vs modern 1.852 km/h). Small difference caused navigation errors; standardized in 1954
How Conversions Work
- m/s × 3.6 → km/h; m/s × 2.23694 → mph
- Round sensibly for road/aviation reporting
- Use significant figures for scientific work
Common Conversions
| From | To | Factor | Example |
|---|---|---|---|
| km/h | m/s | × 0.27778 (÷ 3.6) | 90 km/h = 25 m/s |
| m/s | km/h | × 3.6 | 20 m/s = 72 km/h |
| mph | km/h | × 1.60934 | 60 mph ≈ 96.56 km/h |
| km/h | mph | × 0.621371 | 100 km/h ≈ 62.14 mph |
| kn | km/h | × 1.852 | 20 kn ≈ 37.04 km/h |
| ft/s | m/s | × 0.3048 | 100 ft/s ≈ 30.48 m/s |
Quick Examples
Everyday Benchmarks
| Thing | Typical speed | Notes |
|---|---|---|
| Walking | 4–6 km/h (1.1–1.7 m/s) | Casual pace |
| Running | 10–15 km/h (2.8–4.2 m/s) | Recreational |
| Cycling (city) | 15–25 km/h | Commuting |
| City traffic | 20–40 km/h | Rush hour |
| Highway | 90–130 km/h | By country |
| High‑speed rail | 250–320 km/h | Modern lines |
| Airliner (cruise) | 800–900 km/h | Ma ≈ 0.78–0.85 |
| Cheetah (sprint) | 80–120 km/h | Short bursts |
Amazing Speed Facts
0–100 vs 0–60
Car acceleration is quoted as 0–100 km/h or 0–60 mph — they’re nearly the same benchmark.
Why knots?
Knots came from counting knots on a rope over time — a sailor’s early speedometer.
Sound changes
The speed of sound isn’t constant — it drops in colder air, so Mach changes with altitude.
Lightning vs light speed
Lightning's leader stroke travels at ~75,000 m/s (270,000 km/h) — impressively fast! But light is still 4,000 times faster at 300,000 km/s. This is why you see lightning before hearing thunder: light reaches you almost instantly, sound takes ~3 seconds per kilometer.
Furlongs per fortnight
A humorous unit beloved by physicists: 1 furlong (660 feet) per fortnight (14 days) = 0.000166 m/s = 0.6 m/hour. At this speed, you'd travel 1 meter in 100 minutes. Perfect for measuring continental drift (which moves at ≈1–10 cm/year)!
Earth spins faster than sound
Earth's equator rotates at 465 m/s (1,674 km/h, 1,040 mph) — faster than the speed of sound! People at the equator are moving through space at supersonic speeds without feeling it. This is why rockets launch eastward: free 465 m/s velocity boost!
GPS satellites fly fast
GPS satellites orbit at ≈3,900 m/s (14,000 km/h, 8,700 mph). At this speed, Einstein's relativity matters: their clocks run 7 microseconds/day SLOWER (velocity time dilation) but 45 µs/day FASTER (gravitational time dilation in weaker field). Net: +38 µs/day — corrections required for accurate positioning!
Parker Solar Probe: Fastest human object
Parker Solar Probe reached 163 km/s (586,800 km/h, 364,600 mph) during its closest Sun approach in 2024 — fast enough to fly from NYC to Tokyo in under 1 minute! That's 0.05% the speed of light. It will hit 200 km/s (720,000 km/h) in future passes.
Records & Extremes
| Record | Speed | Notes |
|---|---|---|
| Fastest human (Usain Bolt 100m) | ≈ 44.7 km/h (12.4 m/s) | Peak speed during sprint |
| World land speed record (ThrustSSC) | > 1,227 km/h | Supersonic car (1997) |
| Fastest train (test) | 603 km/h | JR Maglev (Japan) |
| Fastest aircraft (manned) | > 3,500 km/h | X‑15 (rocket plane) |
| Fastest spacecraft (Parker Solar Probe) | > 600,000 km/h | Perihelion pass |
A Brief History of Speed Measurement
- 1600sLog line with knots used at sea to estimate speed
- 1900sAutomobile speedometers become common
- 1947First supersonic flight (Bell X‑1)
- 1969Concorde’s first flight (supersonic airliner)
- 1997ThrustSSC breaks the sound barrier on land
Pro Tips
- Pick the unit for your audience: km/h or mph for roads; knots for air/sea; m/s for science
- Convert via m/s to avoid rounding drift
- Quote Mach with context (altitude/temperature)
- Round reasonably for readability (e.g., 96.56 → 97 km/h)
Units Catalog
Metric (SI)
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| kilometer per hour | km/h | 0.277778 | Road signs and vehicle specs. |
| meter per second | m/s | 1 | SI base for speed; ideal for computation. |
| centimeter per second | cm/s | 0.01 | Slow flows and lab settings. |
| kilometer per second | km/s | 1,000 | Orbital/astronomical scales. |
| micrometer per second | µm/s | 0.000001 | Microscale motion (µm/s). |
| millimeter per second | mm/s | 0.001 | Precision motion and actuators. |
Imperial / US
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| foot per second | ft/s | 0.3048 | Ballistics, sports, engineering. |
| mile per hour | mph | 0.44704 | US/UK roads; automotive. |
| foot per hour | ft/h | 0.0000846667 | Very slow drift/settling. |
| foot per minute | ft/min | 0.00508 | Elevators, conveyors. |
| inch per minute | in/min | 0.000423333 | Manufacturing feed rates. |
| inch per second | in/s | 0.0254 | Machining, small mechanisms. |
| yard per hour | yd/h | 0.000254 | Very slow movement. |
| yard per minute | yd/min | 0.01524 | Low-speed conveyors. |
| yard per second | yd/s | 0.9144 | Athletics timing; historical. |
Nautical
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| knot | kn | 0.514444 | 1 nmi/h; maritime and aviation standard. |
| admiralty knot | adm kn | 0.514773 | Historical UK definition of knot. |
| nautical mile per hour | nmi/h | 0.514444 | Formal expression of knot. |
| nautical mile per second | nmi/s | 1,852 | Extremely fast (theoretical contexts). |
Scientific / Physics
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| Mach (sea level) | Ma | 340.29 | Mach (sea level conv. ≈ 340.29 m/s). |
| speed of light | c | 3.00e+8 | Speed of light in vacuum. |
| Earth orbital speed | v⊕ | 29,780 | Earth’s orbital speed around Sun ≈ 29.78 km/s. |
| first cosmic velocity | v₁ | 7,900 | 1st cosmic velocity (LEO orbital) ≈ 7.9 km/s. |
| Mach (stratosphere) | Ma strat | 295.046 | Mach (stratosphere at ~11 km altitude, −56.5°C). |
| Milky Way speed | v MW | 552,000 | Milky Way motion ≈ 552 km/s (CMB frame). |
| second cosmic velocity | v₂ | 11,200 | 2nd cosmic (escape Earth) ≈ 11.2 km/s. |
| Solar system speed | v☉ | 220,000 | Solar system motion ≈ 220 km/s (galactic). |
| speed (ballistics) | v | 1 | Ballistics speed placeholder (unitless). |
| speed of sound in air | sound | 343 | Speed of sound in air ≈ 343 m/s (20°C). |
| speed of sound in steel | sound steel | 5,960 | Sound in steel ≈ 5,960 m/s. |
| speed of sound in water | sound H₂O | 1,481 | Sound in water ≈ 1,481 m/s (20°C). |
| third cosmic velocity | v₃ | 16,700 | 3rd cosmic (solar escape) ≈ 16.7 km/s. |
Aerospace
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| kilometer per minute | km/min | 16.6667 | High-speed aviation/rocketry. |
| Mach (high altitude) | Ma HA | 295.046 | Mach at high altitude (lower a). |
| mile per minute | mi/min | 26.8224 | High-speed aircraft reporting. |
| mile per second | mi/s | 1,609.34 | Extreme velocities (meteors, rockets). |
Historical / Cultural
| Unit | Symbol | Meters per second | Notes |
|---|---|---|---|
| furlong per fortnight | fur/fn | 0.00016631 | Humorous unit; ≈ 0.0001663 m/s. |
| league per hour | lea/h | 1.34112 | Historical literature usage. |
| league per minute | lea/min | 80.4672 | Historical high speed reference. |
| Roman pace per hour | pace/h | 0.000411111 | Roman pace/hour; historical. |
| verst per hour | verst/h | 0.296111 | Russian/European historical unit. |
Frequently Asked Questions
Mach vs knots vs mph — which should I use?
Use knots in aviation/maritime. Use km/h or mph on roads. Use Mach for high-altitude/high-speed flight envelopes.
Why doesn't Mach have a single m/s value?
Mach is relative to the local speed of sound, which depends on temperature and altitude. We show sea-level approximations where helpful.
Is m/s better than km/h or mph?
For calculations, yes (SI base). For communication, km/h or mph are more readable depending on audience and locale.
How do I convert km/h to mph?
Multiply by 0.621371 (or divide by 1.60934). Example: 100 km/h × 0.621 = 62.1 mph. Quick rule: divide by 1.6.
What's the difference between speed and velocity?
Speed is magnitude only (how fast). Velocity includes direction (vector). In everyday usage, 'speed' is common for both concepts.
Why do ships and planes use knots?
Knots (nautical miles per hour) align with latitude/longitude degrees on charts. 1 nautical mile = 1 minute of latitude = 1,852 meters.
How fast is the speed of sound?
Approximately 343 m/s (1,235 km/h, 767 mph) at sea level and 20°C. It varies with temperature and altitude.
What is Mach 1?
Mach 1 is the speed of sound in the local air conditions. At sea level (15°C), Mach 1 ≈ 1,225 km/h (761 mph, 340 m/s).
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