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.

What You Can Convert
This converter handles 60+ speed and velocity units including SI units (m/s, km/h), Imperial units (mph, ft/s), nautical units (knots), aerospace units (Mach), scientific units (speed of light, cosmic velocities), and historical units. Convert between all measurement systems for automotive, aviation, maritime, scientific, and everyday applications.

Foundations of Speed

Speed
Rate of distance traveled over time. SI base: meter per second (m/s).

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
Quick Takeaways
  • 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.)

RegimeMach rangeTypical context
Subsonic< 0.8Airliners, GA cruise (economy)
Transonic≈ 0.8 – 1.2Drag rise region; high‑subsonic jets
Supersonic> 1.2Concorde, supersonic fighters
Hypersonic> 5Reentry 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

Base‑unit method
Convert to m/s, then from m/s to the target. Quick factors: km/h ÷ 3.6 → m/s; mph × 0.44704 → m/s; kn × 0.514444 → m/s.
  • 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

FromToFactorExample
km/hm/s× 0.27778 (÷ 3.6)90 km/h = 25 m/s
m/skm/h× 3.620 m/s = 72 km/h
mphkm/h× 1.6093460 mph ≈ 96.56 km/h
km/hmph× 0.621371100 km/h ≈ 62.14 mph
knkm/h× 1.85220 kn ≈ 37.04 km/h
ft/sm/s× 0.3048100 ft/s ≈ 30.48 m/s

Quick Examples

100 km/h → m/s= 27.78 m/s
60 mph → km/h≈ 96.56 km/h
20 kn → km/h≈ 37.04 km/h
Ma 0.85 at sea level → m/s≈ 289 m/s (using 340.29 m/s)

Everyday Benchmarks

ThingTypical speedNotes
Walking4–6 km/h (1.1–1.7 m/s)Casual pace
Running10–15 km/h (2.8–4.2 m/s)Recreational
Cycling (city)15–25 km/hCommuting
City traffic20–40 km/hRush hour
Highway90–130 km/hBy country
High‑speed rail250–320 km/hModern lines
Airliner (cruise)800–900 km/hMa ≈ 0.78–0.85
Cheetah (sprint)80–120 km/hShort 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

RecordSpeedNotes
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/hSupersonic car (1997)
Fastest train (test)603 km/hJR Maglev (Japan)
Fastest aircraft (manned)> 3,500 km/hX‑15 (rocket plane)
Fastest spacecraft (Parker Solar Probe)> 600,000 km/hPerihelion pass

A Brief History of Speed Measurement

  • 1600s
    Log line with knots used at sea to estimate speed
  • 1900s
    Automobile speedometers become common
  • 1947
    First supersonic flight (Bell X‑1)
  • 1969
    Concorde’s first flight (supersonic airliner)
  • 1997
    ThrustSSC breaks the sound barrier on land

Pro Tips

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)

UnitSymbolMeters per secondNotes
kilometer per hourkm/h0.277778Road signs and vehicle specs.
meter per secondm/s1SI base for speed; ideal for computation.
centimeter per secondcm/s0.01Slow flows and lab settings.
kilometer per secondkm/s1,000Orbital/astronomical scales.
micrometer per secondµm/s0.000001Microscale motion (µm/s).
millimeter per secondmm/s0.001Precision motion and actuators.

Imperial / US

UnitSymbolMeters per secondNotes
foot per secondft/s0.3048Ballistics, sports, engineering.
mile per hourmph0.44704US/UK roads; automotive.
foot per hourft/h0.0000846667Very slow drift/settling.
foot per minuteft/min0.00508Elevators, conveyors.
inch per minutein/min0.000423333Manufacturing feed rates.
inch per secondin/s0.0254Machining, small mechanisms.
yard per houryd/h0.000254Very slow movement.
yard per minuteyd/min0.01524Low-speed conveyors.
yard per secondyd/s0.9144Athletics timing; historical.

Nautical

UnitSymbolMeters per secondNotes
knotkn0.5144441 nmi/h; maritime and aviation standard.
admiralty knotadm kn0.514773Historical UK definition of knot.
nautical mile per hournmi/h0.514444Formal expression of knot.
nautical mile per secondnmi/s1,852Extremely fast (theoretical contexts).

Scientific / Physics

UnitSymbolMeters per secondNotes
Mach (sea level)Ma340.29Mach (sea level conv. ≈ 340.29 m/s).
speed of lightc3.00e+8Speed of light in vacuum.
Earth orbital speedv⊕29,780Earth’s orbital speed around Sun ≈ 29.78 km/s.
first cosmic velocityv₁7,9001st cosmic velocity (LEO orbital) ≈ 7.9 km/s.
Mach (stratosphere)Ma strat295.046Mach (stratosphere at ~11 km altitude, −56.5°C).
Milky Way speedv MW552,000Milky Way motion ≈ 552 km/s (CMB frame).
second cosmic velocityv₂11,2002nd cosmic (escape Earth) ≈ 11.2 km/s.
Solar system speedv☉220,000Solar system motion ≈ 220 km/s (galactic).
speed (ballistics)v1Ballistics speed placeholder (unitless).
speed of sound in airsound343Speed of sound in air ≈ 343 m/s (20°C).
speed of sound in steelsound steel5,960Sound in steel ≈ 5,960 m/s.
speed of sound in watersound H₂O1,481Sound in water ≈ 1,481 m/s (20°C).
third cosmic velocityv₃16,7003rd cosmic (solar escape) ≈ 16.7 km/s.

Aerospace

UnitSymbolMeters per secondNotes
kilometer per minutekm/min16.6667High-speed aviation/rocketry.
Mach (high altitude)Ma HA295.046Mach at high altitude (lower a).
mile per minutemi/min26.8224High-speed aircraft reporting.
mile per secondmi/s1,609.34Extreme velocities (meteors, rockets).

Historical / Cultural

UnitSymbolMeters per secondNotes
furlong per fortnightfur/fn0.00016631Humorous unit; ≈ 0.0001663 m/s.
league per hourlea/h1.34112Historical literature usage.
league per minutelea/min80.4672Historical high speed reference.
Roman pace per hourpace/h0.000411111Roman pace/hour; historical.
verst per hourverst/h0.296111Russian/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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