S.I UNITS,DIMENSIONS,AND DIMENSIONSIONAL FORMULAE- SYNOPSIS
QUANTITY | DEFINITION | DIMENSIONAL FORMULA | S I.UNIT |
Momentum | Mass x vel. | MLT-1 | Kg.m.s-1 |
Force | Mass X acc. | MLT-2 | Kg.m.s-2 = newton |
Angle | Arc/radius | M0L0T0 | radian |
Moment of Inertia(I) | Mass x dist.2 | ML2 | Kg.m2 |
Angular velocity ( | Angle/time | T-1 | s-1 |
Angular Acceleration(α) | Angle/time2 | T-2 | s-2 |
Impulse | Force/time | MLT-1 | Newton sec. |
Pressure | Force/area | MLT-1 T-2 | Pascal |
Work | Force/displacement | ML2 T-2 | joule |
Energy | Work | ML2 T-2 | joule |
Power | Work/ time | ML2T-3 | Joule.S-1=Watt |
Density | Mass/Volume | ML-3 | Kg m-3 |
Torque | I Xa a | ML2 T-2 | N.m-2 |
Angular Momentum | J =Iω | ML2 T-1 | Joule sec |
Frequency | Vibrations/second | T-1 | hertz |
Spring constant | Force/Length | MLT-2 | N.m-1 |
Modulus of Elasticity | Stress/Strain | MLT-1 T-2 | N.m-2 |
Couple | Force/distance | ML2 T-2 | N .m |
Stress | Restoring Force/Area | MLT-1 T-2 | N.m-2 |
Angular Impulse | Couple/time | ML2 T-1 | N.m.s |