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Three approaches to mass and force units

v · d · e

Base

force, length, time weight, length, time mass, length, time
Force (F) F = m·a = w·ag F = m·agc = w·ag F = m·a = w·ag
Weight (w) w = m·g w = m·ggc ≈ m w = m·g
System BG GM EE M AE CGS MTS SI
Acceleration (a) ft/s2 m/s2 ft/s2 m/s2 ft/s2 gal m/s2 m/s2
Mass (m) slug hyl, also called “metric slug” or “TME” lbm kg lb g t kg
Force (F) lb kp lbF kp pdl dyn sn N
Pressure (p) lb/in2 at PSI atm pdl/ft2 Ba pz Pa

## Documentation

This table previously included rows that provided common labels or descriptions for the three approaches, i.e.

• technical (force column),
• gravitational (force or weight column),
• engineering (force or weight column),
• colloquial (weight column),
• pre-newtonian (weight column),
• absolute (mass column, also force column),
• scientific (mass column),
• coherent (force and mass columns),
• incoherent (weight column).

This was deemed inappropriate and should be discussed in surrounding prose where necessary.

## Parameter system

Three approaches to metric mass and force units

v · d · e

Base

force, length, time weight, length, time mass, length, time
Force (F) F = m·a = w·ag F = m·agc = w·ag F = m·a = w·ag
Weight (w) w = m·g w = m·ggc ≈ m w = m·g
System GM M CGS MTS SI
Acceleration (a) m/s2 m/s2 gal m/s2 m/s2
Mass (m) hyl, also called “metric slug” or “TME” kg g t kg
Force (F) kp kp dyn sn N
Pressure (p) at atm Ba pz Pa
Three approaches to English mass and force units

v · d · e

Base

force, length, time weight, length, time mass, length, time
Force (F) F = m·a = w·ag F = m·agc = w·ag F = m·a = w·ag
Weight (w) w = m·g w = m·ggc ≈ m w = m·g
System British Gravitational (BG) English Engineering (EE) Absolute English (AE)
Acceleration (a) ft/s2 ft/s2 ft/s2
Mass (m) slug lbm lb
Force (F) lb lbF pdl
Pressure (p) lb/in2 PSI pdl/ft2
1. Lindeburg, Michael, Civil Engineering Reference Manual for the PE Exam
2. Wurbs, Ralph A, Fort Hood Review Sessions for Professional Engineering Exam, retrieved October 26, 2011
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