Chapter 1 – Units and Dimensions
Dimensions: Dimensions are the basic concepts of measurement. Ex; such as length, time, T, P, etc.
Units: Units are means of expressing the dimensions.
Dimensions à Force Length Time
Units à N m, ft, cm, h, min, s,
Basic Units: Units dimensionally independent, used for only one dimension. Ex; kg for mass, s for time,
Derived Units: Derived units are combination of various dimensions.
Ex; in SI; Pressure: kg/m.s2 Pa(Pascal)
density: kg/m3, heat capacity: Btu/1bm ºF
System | B.E | A.E | cgs | M.K.S. | S.I. |
Length | foot | foot | cm | m | m |
Mass | slug | Ibm | g | kg | kg |
Time | second | s | s | s | s |
Temp | ºF | ºF | ºC | ºC | ºK |
Heat | Btu | Btu | Cal | Kcal | Kcal |
Force | Ibf | Ibf | dyne | Newton | N |
Amount of Substance | Ibmole | Ibmole | g mole | kg mole | kg mole |
454 g = 1 Ibm 2.54 cm = 1 in 1 ft = 12 in
(Ib ; pound) (Btu; British thermal units)
Conversion of Units
Ex: Convert 20 gal/h to m3/s.
7.48 gal = 1 ft3 1 h = 3600 s 1 ft = 12 in
35.31 ft3 = 1 m3 1 in = 2.54 cm 1 m = 100 cm
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