Unit Converter SI/US Calculator
Convert between SI (metric) and US customary units for length, mass, volume, temperature, pressure, and energy.
Unit Converter SI/US Calculator
Calculator
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Formula: Converted Value = Input Value x (From Unit SI Factor / To Unit SI Factor)
Worked example โ 42.195 km = 26.219 miles = 42,195 m = 138,435 ft
Formula
Converted Value = Input Value x (From Unit SI Factor / To Unit SI Factor)
Each unit has a conversion factor to its SI base unit. To convert between any two units, multiply the input by the source unit factor, then divide by the target unit factor. Temperature is the exception, requiring offset formulas: C = (F-32) x 5/9, K = C + 273.15. This approach allows conversion between any pair of units in the same category through the SI intermediary.
Worked Examples
Example 1: Marathon Distance Conversion
Problem:A marathon is 42.195 kilometers. Convert to miles, feet, and meters.
Solution:42.195 km x 1000 = 42,195 meters 42.195 km / 1.60934 = 26.2188 miles 42,195 m / 0.3048 = 138,435 feet Verification: 26.2188 x 5280 = 138,435 feet
Result:42.195 km = 26.219 miles = 42,195 m = 138,435 ft
Example 2: Body Temperature in Different Scales
Problem:Normal body temperature is 98.6 degrees Fahrenheit. Convert to Celsius and Kelvin.
Solution:Celsius = (98.6 - 32) x 5/9 = 66.6 x 5/9 = 37.0 C Kelvin = 37.0 + 273.15 = 310.15 K Verification: 37.0 x 9/5 + 32 = 66.6 + 32 = 98.6 F
Result:98.6 F = 37.0 C = 310.15 K
Frequently Asked Questions
What is the SI system and why is it important?
The International System of Units (SI) is the modern form of the metric system and the world most widely used system of measurement. It is built on seven base units: meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity). SI is used in virtually all scientific research worldwide because it provides a consistent, decimal-based framework for measurement. The United States is one of only three countries that have not officially adopted SI as their primary measurement system, alongside Myanmar and Liberia, which is why US-SI conversion is so frequently needed.
How do you convert between US customary and SI units?
Conversion between US customary and SI units requires multiplication by specific conversion factors. For length: 1 inch = 2.54 cm (exact definition), 1 foot = 0.3048 m, 1 mile = 1.60934 km. For mass: 1 pound = 0.45359 kg, 1 ounce = 28.3495 g. For volume: 1 US gallon = 3.78541 L, 1 fluid ounce = 29.5735 mL. For temperature: Celsius = (Fahrenheit - 32) x 5/9. The key principle is that conversion factors are ratios equal to 1, so multiplying by them changes the unit without changing the actual quantity. Always check whether you are dealing with US customary or imperial (British) units, as they differ for volume measurements.
Why does temperature conversion use a different formula?
Temperature conversion requires addition/subtraction because temperature scales have different zero points, unlike other measurements. The Celsius scale sets 0 at the freezing point of water and 100 at boiling. Fahrenheit sets 32 at freezing and 212 at boiling. Kelvin sets 0 at absolute zero (-273.15 C). Because these zero points differ, you cannot simply multiply by a conversion factor. The formula F = C x 9/5 + 32 first scales the interval (9/5 ratio) then shifts the zero point (+32). For Kelvin, only a shift is needed: K = C + 273.15. This is fundamentally different from length or mass where doubling the measurement in one unit always doubles it in another.
What is the difference between mass and weight?
In everyday language, mass and weight are used interchangeably, but in physics they are distinct concepts. Mass is a measure of how much matter an object contains, measured in kilograms (SI). Weight is the force of gravity acting on that mass, measured in newtons (SI). On Earth, a 1 kg mass weighs approximately 9.81 newtons. On the Moon, the same 1 kg mass weighs only 1.62 newtons because lunar gravity is about 1/6 of Earth. The pound (lb) is technically a unit of force (weight) in the US system, while the slug is the US unit of mass. However, in practice, pounds are used for both mass and weight in everyday US measurements.
Why do scientists use SI units exclusively?
Scientists use SI units to ensure universal clarity, reproducibility, and prevention of costly errors. The most famous conversion disaster is the Mars Climate Orbiter in 1999, which was destroyed because one team used US customary units while another used SI, resulting in a $327 million loss. SI units are decimal-based, making calculations straightforward (1 km = 1000 m, 1 kg = 1000 g). US customary units have inconsistent relationships (1 mile = 5280 feet, 1 pound = 16 ounces, 1 gallon = 128 fluid ounces). The coherent decimal structure of SI minimizes calculation errors and makes unit analysis transparent in scientific equations.
What is the difference between an SI base unit and a derived unit?
The SI defines seven base units: the metre, kilogram, second, ampere, kelvin, mole and candela. Every other unit is derived as a product of powers of those, so the newton is kg times m per s squared and the pascal is a newton per square metre, or kg per m per s squared. Recognising the base-unit expansion of a derived unit is what lets you check that a conversion chain is dimensionally consistent rather than merely numerically plausible.
How does dimensional analysis catch a conversion done the wrong way round?
Write each factor as a fraction with units, then cancel. Converting 10 ft to metres, the factor 0.3048 m per ft cancels feet and leaves metres, giving 3.048 m. Dividing instead would leave ft squared per m, which is not a length, and the error is visible before you look at the number. The same discipline catches inverted rates and mismatched compound units, which are far more common sources of error than arithmetic slips.
Why do storage sizes use different prefixes from the rest of the SI?
SI prefixes are strict powers of ten, so kilo is 10 cubed and mega is 10 to the sixth. Computer memory is addressed in powers of two, so the IEC defined separate binary prefixes: a kibibyte is 2 to the tenth, or 1024 bytes, and a mebibyte is 1048576 bytes. That is why a drive sold as 1 MB of 10 to the sixth bytes displays as slightly less than 1 MiB, a labelling mismatch rather than missing capacity.
How do I convert a rate such as fuel economy, where the units are inverted?
Miles per gallon measures distance per volume while litres per 100 km measures volume per distance, so the two are reciprocal and no single multiplier converts them. Build the factor from exact definitions: one mile is 1.609344 km and one US gallon is 3.785411784 L, so 1 mpg equals 0.4251437 km per L, and litres per 100 km equals 235.2145 divided by the mpg figure. Halving fuel use therefore halves the L per 100 km but does not halve mpg.
When must a value stay in kelvin rather than degrees Celsius?
Any expression that multiplies, divides or raises temperature to a power needs an absolute scale, because ratios only mean something when zero is true zero. The ideal gas relation pV equals nRT and the Stefan-Boltzmann fourth-power radiation law both fail if Celsius is substituted. Celsius is safe only where temperature appears as a difference, since an interval of one degree Celsius equals an interval of one kelvin exactly.
References
Background & Theory
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Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
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