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The

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basic

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units

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for

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all

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Software

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include

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force

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(lbs,

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kip,

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N,

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kN,

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etc.),

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length

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(ft,

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in,

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m,

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mm,

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etc.),

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time

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(second),

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and

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temperature

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(F,

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C).

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Mass

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is

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then

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derived

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from

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these

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values.

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Some notes which concern force and mass units are as follows:

  • lbs and kips are only used as force units, not mass units
  • Consistent mass units are force divided by unit acceleration, given as F/(L/T

...

  • 2),

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  • in

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  • which

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  • L

...

  • is

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  • length

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  • and

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  • T

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  • is

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  • time.

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  • Weight

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  • is

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  • a

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  • force.

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    • Given SI units,

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    • in

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    • which

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    • force

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    • is

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    • in

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    • Newtons

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    • (N),

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    • the

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    • consistent

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    • mass

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    • unit

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    • is

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    • N*sec

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    • 2/m

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    • =

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    • kg.

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    • Given US Customary,

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    • in

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    • which

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    • force

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    • is

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    • in

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    • pounds

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    • (lbs),

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    • the

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    • consistent

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    • mass

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    • unit

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    • is

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    • lbs*sec

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    • 2/ft

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    • =

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    • slug.

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    • Under

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    • a

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    • unit

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    • acceleration,

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    • a

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    • mass

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    • of

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    • one

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    • slug

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    • generates

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    • a

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    • one

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    • pound

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    • force.

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    • When

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    • accelerated

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    • by

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    • gravity

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    • (g),

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    • this

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    • same

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    • mass

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    • generates

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    • a

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    • force

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    • of

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    • 32.2

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    • lbs.

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  • The

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  • pound-mass

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  • unit

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  • is

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  • not

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  • a

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  • consistent

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  • unit,

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  • where

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  • 1

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  • slug

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  • =

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  • 32.2

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  • pound-mass.

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  • Additional

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  • information

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  • is

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  • available

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  • in

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  • the

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  • Wikipedia

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  • article.
  • Weight density has units of F/L3
  • Consistent mass density has units of (F/(L/T

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  • 2))/L

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  • 3 =

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  • F*T

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  • 2/L

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  • 4
  • The relationship between weight and mass, and weight density and mass density, is W = M * g, all in consistent units.

    • To convert weight density W = 150 lbs/ft3 into mass density (kip-in),

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    • the

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    • calculation

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    • proceeds

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    • as

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    • follows:

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    • M = W / g = 150 lbs/ft3 / (32.2

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    • ft/sec

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    • 2)

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    • =

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    • 4.658

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    • lbs*sec

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    • 2/ft

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    • 4 * (kip

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    • /

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    • 1000

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    • lbs)

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    • *

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    • (ft

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    • /

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    • 12

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    • in)

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    • 4 =

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    • 2.246E-7

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    • kip*sec

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    • 2/in4

See Also