Updated Unit Conversion Tool

Speed Converter

Convert speeds between m/s, km/h, mph, ft/s, knots and Mach. Use the main converter for everyday units, the Mach tab for altitude-aware conversions and the custom unit panel when you work with special speed units or scalings.

m/s ↔ km/h ↔ mph Feet per Second Knots & Mach Altitude Effects

Convert Between Common Speed Units And Mach Number

This Speed Converter lets you move quickly between meters per second, kilometers per hour, miles per hour, feet per second and knots. The advanced Mach tab takes into account the change in speed of sound with altitude, so you can convert between speed and Mach number under standard atmosphere conditions. A custom unit panel lets you define your own speed scale using a simple multiplier relative to m/s.

The main converter uses meters per second as an internal base unit and precise conversion factors for km/h, mph, ft/s and knots. The Mach tab uses a standard-atmosphere model to estimate the local speed of sound at a given altitude before converting between speed and Mach number.

Choose the input and output units and click convert. The calculator internally converts the input to m/s and then to the requested unit using fixed exact conversion factors.

Custom Speed Unit Converter

Use this panel to define a custom speed unit as a fixed multiple of meters per second. For example, if 1 custom unit equals 10 m/s, enter 10 as the multiplier.

The calculator uses a standard-atmosphere model for the troposphere to estimate the local speed of sound based on temperature at altitude. At sea level the speed of sound is about 340 m/s and decreases with height until the tropopause.

This reference table shows selected speeds in m/s, km/h, mph and knots. Use it to develop a feel for typical magnitudes and to cross-check manually computed conversions.

This guide summarizes the formulas and conversion factors used in the Speed Converter, including the relationship between everyday speed units and Mach number in a standard atmosphere.

Core Speed Conversion Factors

Unit Symbol Conversion to m/s
Meters per second m/s 1 m/s = 1 m/s
Kilometers per hour km/h 1 km/h = 1000/3600 m/s ≈ 0.27778 m/s
Miles per hour mph 1 mph ≈ 0.44704 m/s
Feet per second ft/s 1 ft/s ≈ 0.3048 m/s
Knots kt 1 kt ≈ 0.514444 m/s

Once a speed is converted to m/s using the table above, it can be converted to any other unit by dividing by the corresponding factor. For example, v(km/h) = v(m/s) ÷ 0.27778 and v(mph) = v(m/s) ÷ 0.44704.

Mach Number And Speed Of Sound

Mach number is the ratio between the true airspeed and the local speed of sound. In symbols,

M = v / a,

where v is the speed of the object and a is the speed of sound in the surrounding medium. In a standard atmosphere the speed of sound depends primarily on temperature. Within the troposphere an approximate model is

T(h) ≈ 288.15 − 0.0065 h,

where T is in kelvins and h is altitude in meters. The speed of sound is then

a = √(γ R T),

with γ ≈ 1.4 for air and R ≈ 287 J/(kg·K). The Mach tab uses this model, clamped to a reasonable range of altitudes, to estimate a and then convert between v and M in the chosen speed unit.

Speed Converter – Complete Guide To m/s, km/h, mph, Knots And Mach

The Speed Converter on MyTimeCalculator is built for situations where you regularly switch between different speed units. Whether you are working with highway speeds, aircraft performance, marine navigation or physics problems, the tool lets you convert between meters per second, kilometers per hour, miles per hour, feet per second, knots and Mach using consistent conversion factors and a clean interface.

Instead of memorizing separate formulas, you enter a single value and choose the input and output units. The calculator handles the intermediate conversion through meters per second and presents the result along with an overview of all units for context. For aviation and high-speed applications, the Mach tab adds an altitude-aware layer on top of these base conversions.

1. Why Use Meters Per Second As The Internal Base Unit?

Using a single base unit simplifies conversions between many different units. In this calculator, meters per second is used internally because it is the standard SI unit for speed and relates naturally to other physics-based calculations. The workflow follows two steps:

  • Convert the input speed from its original unit to m/s using a fixed factor.
  • Convert the result in m/s to the requested output unit.

This approach avoids having to maintain a direct formula for every possible pair of input and output units. As long as each unit has a known relationship to m/s, any pair can be converted consistently.

2. Converting Between Everyday Speed Units

Common units such as km/h and mph appear in everyday contexts like road signs, dashboards and sports timing. Typical relationships are:

  • 1 km/h ≈ 0.27778 m/s
  • 1 mph ≈ 0.44704 m/s
  • 1 ft/s ≈ 0.3048 m/s
  • 1 knot ≈ 0.514444 m/s

To convert 90 km/h to mph, for example, the calculator first converts 90 km/h to m/s, obtaining about 25 m/s, and then divides by 0.44704 to give roughly 55.9 mph. The main tab automates this sequence and also displays a compact summary of the same speed in all supported units so you can compare magnitudes at a glance.

3. Custom Speed Units Using A Multiplier

In some technical systems, speed may be stored or displayed in internal units that do not match standard engineering units. The custom unit panel in the Speed Converter allows you to define such a unit via a multiplier relative to m/s. If 1 internal unit corresponds to 5 m/s, enter 5 as the factor and the calculator will show how any custom value maps to m/s, km/h and mph.

This is especially useful when working with code, simulation outputs or legacy displays where re-scaling is needed before results can be interpreted in familiar terms.

4. Mach Number And The Role Of Altitude

At high speeds, especially in aviation, the Mach number becomes more relevant than a raw speed. Mach is a dimensionless ratio defined as M = v / a, where v is the true airspeed and a is the local speed of sound. Because a depends on temperature, and temperature generally changes with altitude, the same Mach number corresponds to different true airspeeds at different heights.

The Mach tab in the calculator addresses this by:

  • Allowing you to choose between speed-to-Mach and Mach-to-speed modes.
  • Providing common altitude presets such as sea level, 10,000 ft and 30,000 ft.
  • Offering a custom altitude field in meters or feet for more specific scenarios.

Internally, the tool uses a standard-atmosphere temperature profile in the troposphere and computes the speed of sound from that temperature. It then applies the formula M = v/a or v = M × a in the selected speed unit.

5. Understanding The Speed Table

The Speed Table tab provides a pre-filled set of speeds across a range of km/h values and their equivalents in m/s, mph and knots. Looking down a column helps you estimate and remember approximate equivalences. For example, it becomes easier to recall that:

  • 50 km/h is roughly 31 mph.
  • 100 km/h is roughly 62 mph and about 54 knots.
  • 250 km/h corresponds to about 155 mph.

Using the table alongside the main converter helps to build intuition and lets you cross-check specific conversions with rounded reference values.

6. Practical Tips For Using The Speed Converter

  1. Decide which quantities you care about: raw speed in familiar units, Mach number or both.
  2. Use the main tab for typical road, marine and engineering speed conversions.
  3. Switch to the Mach tab when dealing with aircraft performance, shock waves or supersonic flows.
  4. Use altitude presets for quick “rule-of-thumb” calculations, and custom altitude when a more precise height is important.
  5. Leverage the custom unit panel when bridging internal code units and external specifications.
  6. Refer to the Speed Table tab when you want rounded benchmark values to sanity-check a result.

7. Limitations Of The Model

The Mach calculations in this tool assume a dry-air standard atmosphere and a simple temperature lapse rate in the troposphere. Real-world conditions can differ due to humidity, weather systems, inversions and local gradients, which means the true speed of sound may vary slightly from the estimates. For most engineering and educational applications, however, the approximations are accurate enough to give useful insight into how Mach number and speed relate at different altitudes.

Speed Converter FAQs

Frequently Asked Questions

Quick answers to common questions about converting speeds and working with Mach number in a standard atmosphere.

A simple mental approximation is to divide km/h by 1.6 to get mph. For example, 100 km/h ÷ 1.6 ≈ 62 mph. The Speed Converter uses a more precise factor of 1.60934, applying the chain km/h → m/s → mph to return accurate results while still being easy to interpret.

Mach number is scaled by the local speed of sound, which depends on temperature and therefore on altitude. A given Mach value can correspond to different true airspeeds at different heights. This makes Mach a natural way to describe compressibility effects and shock waves in high-speed aerodynamics, where the ratio v/a matters more than v alone.

The calculator uses a standard-atmosphere model that is most accurate in the troposphere and lower stratosphere. It is suitable for educational use and many engineering estimates, but specialized flight planning or certification work may require more detailed atmospheric data or direct measurements from onboard sensors and avionics systems.

The factors used by the Speed Converter are based on exact definitions such as 1 mile = 1609.344 meters and 1 nautical mile = 1852 meters. The displayed results are rounded to a fixed number of decimal places for readability, so minor differences can appear when comparing with other calculators that round differently, but the underlying relationships are consistent and precise.