Fluid Mechanics Imperial and SI Dimensions and Units
Imperial (USCS) and SI dimensions and units terminology
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The table below list the most common units used in the Imperial and SI system
| Terminology | Dimensions | Imperial Units (USCS) |
SI-units |
| Acceleration due to gravity | L/T2 | ft/s2 | m/s2 |
| Area | L2 | ft2 | m2 |
| Chezy roughness coefficient | L1/2/T | ft1/2/s | m1/2/s |
| Critical Depth | L | ft | m |
| Density | FT2/L4 | lb s2/ft4 | kg s2/m4 |
| Depth | L | ft | m |
| Depth in open channel | L | ft | m |
| Diameter | L | ft | m |
| Distance from solid boundary | L | ft | m |
| Flow rate | L3/T | ft3/s | m3/s |
| Force | F | lb | N |
| Force due to pressure | F | lb | N |
| Hazen Williams roughness coefficient | L0.37/T | ft0.37/s | m0.37/s |
| Head loss due to friction | L | ft | m |
| Head of height | L | ft | m |
| Head of weir | L | ft | m |
| Height above datum | L | ft | m |
| Hydraulic radius | L | ft | m |
| Kinematic viscosity | L2/T | ft2/s | m2/s |
| Length | L | ft | m |
| Mannings roughness coefficient | T/L1/3 | s/ft1/3 | s/m1/3 |
| Mass | FT2/L | lb s2/ft | N s2/m |
| Modulus of elasticity | F/L2 | lb/in2 (psi) | Pa |
| Perimeter, Weir Height | L | ft | m |
| Pressure | F/L2 | lb/ft2 | Pa |
| Radius | L | ft | m |
| Shear stress | F/L2 | lb/ft2 | Pa |
| Size of roughness | L | ft | m |
| Specific weight | F/L3 | lb/ft3 | kg/m3 |
| Surface tension | F/L | lb/ft | kg/m |
| Time | T | s | s |
| Thickness | L | ft | m |
| Time | T | s | s |
| Total head | L | ft | m |
| Unit flow rate | L3/TL | ft3/(s ft) | m3/(s ft) |
| Velocity | L/T | ft/s | m/s |
| Viscosity | FT/L2 | lb s/ft | Pa s |
| Weight | F | lb | kg |
- L - length
- F - force
- T - time
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