Conversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem:
S * C = E
Where S is our starting value, C is our conversion factor, and E is our end converted result.
To simply convert from any unit into meter per second squared, m/s2, for example, from foot per minute per second, 50 ft/(min·s), just multiply by the conversion value in the right column in the table below.
50 ft/(min·s) * 0.00508 [ (m/s2) / (ft/(min·s)) ] = 0.254 m/s2
To convert from m/s2 into units in the left column divide by the value in the right column or, multiply by the reciprocal, 1/x.
0.254 m/s2 / 0.00508 [ (m/s2) / (ft/(min·s)) ] = 50 ft/(min·s)
To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into m/s2 then divide by the factor for B to convert out of m/s2. Or, you can find the single factor you need by dividing the A factor by the B factor.
For example, to convert from foot per minute per second, ft/(min·s), to mile per hour per second, mi/(h·s), you would multiply by 0.00508 then divide by 0.44704. Or, multiply by 0.00508/0.44704 = 0.01136364. So, to convert directly from ft/(min·s) to mi/(h·s) you multiply by 0.01136364.
To understand how to also convert the units follow this example. Say you want to convert from ft/(min·s) to m/s2; you want to convert the foot to meter and the minute to second. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that ft and min will cancel out leaving you with m/s/s or m/(s·s) or m/s2.
1 m = 3.28084 ft, 1 m / 3.28084 ft = 1
1 min = 60 s, 1 min / 60 s = 1
We can write the conversion as:
1 ft/(min·s) = 1 ft/(min·s) * (1 m / 3.28084 ft) * (1 min / 60 s) = 0.00508 m/s2
And we now have our factor for conversion from ft/(min·s) to m/s2 since 1 * 0.00508 = 0.00508.
Knowing that 1 ft/(min·s) = 0.00508 m/s2 we can now find the conversion factor for converting back. Dividing both sides of the equation by 0.00508 we get about 196.8504 ft/(min·s) = 1 m/s2. So, the conversion factor to multiply by to convert from m/s2 to ft/(min·s) is about 196.8504.
|To Convert from
|and Convert to
( m/s2 or m/(s·s) )
( m/s 2 / Unit )
|centimeter per second squared||cm/s2||meter per second squared||0.01|
|foot per hour per second||ft/(h·s)||meter per second squared||8.46667E-05|
|foot per minute per second||ft/(min·s)||meter per second squared||0.00508|
|foot per second squared||ft/s2||meter per second squared||0.3048|
|galileo||Gal||meter per second squared||0.01|
|gravity (standard)||gn||meter per second squared||9.80665|
|inch per hour per second||in/(h·s)||meter per second squared||7.05556E-06|
|inch per minute per second||in/(min·s)||meter per second squared||4.23333E-04|
|inch per second squared||in/s2||meter per second squared||0.0254|
|meter per second squared||m/s2||meter per second squared||1|
|knot per second||kn/s||meter per second squared||0.5144444|
|mile per hour per second||mi/(h·s)||meter per second squared||0.44704|
|mile per minute per second||mi/(min·s)||meter per second squared||26.8244|
|mile per second squared||mi/s2||meter per second squared||1609.344|
The National Institute of Standards and Technology (NIST) - The NIST Guide for the use of the International System of Units - Appendix B, subsections B.8 Factors for Units Listed Alphabetically and B.9 Factors for units listed by kind of quantity or field of science.
Lide, David R., Daniel (Editor-in-Chief). CRC Handbook of Chemistry and Physics, 89th Edition New York, NY: CRC Press, p. 1-28, 2008.
Wikipedia contributors. "Conversion of units" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 26 Jun. 2011.
Dr Math - "Acceleration Formula and Squared Units" accessed June, 21 2011 at http://mathforum.org/library/drmath/view/67762.html