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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/s^{2}, 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/s

^{2}) / (ft/(min·s)) ] = 0.254 m/s^{2}

To convert from m/s^{2} into units in the left column * divide by* the value in the right column or, multiply by the reciprocal, 1/x.

0.254 m/s

^{2}/ 0.00508 [ (m/s^{2}) / (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/s^{2} then divide by the factor for B to convert out of m/s^{2}. 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/s^{2}; 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/s^{2}.

Since:

1 m = 3.28084 ft, 1 m / 3.28084 ft = 1

1 min = 60 s, 1 min / 60 s = 1We 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/s^{2}And we now have our factor for conversion from ft/(min·s) to m/s

^{2}since 1 * 0.00508 = 0.00508.

Knowing that 1 ft/(min·s) = 0.00508 m/s^{2} 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/s^{2}. So, the conversion factor to multiply by to convert from m/s^{2} to ft/(min·s) is about 196.8504.

To Convert from Unit |
Unit Symbol |
and Convert to ( m/s ^{2} or m/(s·s) ) |
Multiply by ( m/s ^{2} / Unit ) |
---|---|---|---|

centimeter per second squared | cm/s^{2} |
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/s^{2} |
meter per second squared | 0.3048 |

galileo | Gal | meter per second squared | 0.01 |

gravity (standard) | g_{n} |
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/s^{2} |
meter per second squared | 0.0254 |

meter per second squared |
m/s^{2} |
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/s^{2} |
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

**Cite this content, page or calculator as:**

Furey, Edward "Acceleration Conversion Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.