TABLE1.6: SOME DIMENSIONAL FORMULAE AND SI UNITS

S.N	Physical Quantities	Symbol	Relation with other physical quantities	Dimensional Formula	SI Unit	CGS Unit
1	AREA	A, s	Length ×breadth	L×L=[l]²	M²	Cm²
2	VOLUME	V	LENGTH× BREADTH× HEIGHT	L×L×L=[L³]	m³	cm³,cc
3	FREQUENCY	F, v, n	1/time period	1/[t]=[T-1]	Hertz=s-1 Hz cycle/s	Hertz=s-1 Hz cycles/s
4	DENSITY	ρ	Mass/volume	M/l³=[ml-3]	Kg/m³	G cm-³
5	VELOCITY	V,  u	Displacement/ time	[LT-1]	m/s, ms-1	Cm s-1
6	ACCELERATION	â	Displacement/time²	[LT-2]	M/S², MS-2	Cm s-2
7	FORCE	F	MASS×ACELERATION	[MLT-2]	Kgm/s²,N	G cm s-2
8	WORK	W	force× acceleration	[ML² T-2. ]	Nm, J	Dyne. Cm, erg
9	POWER	P	WORK/TIME	[ML²T-3]	J/S, w	ERG S-1
10	MOMENTUM	p	mass× velocity	[mlt-1]	K gm/s, ns	Gcms-1 dyne. S
11	ANGULAR DISPLACEMENT	Ɵ	ARCLENGTH/RADIUS	L/L=[LºMºTº]: dimensionless	rad	Rad
12	Angular  velocity	Ɯ	Angle/time	[T-1]	Rad/ s	Rad s-1
13	ANGULAR ACCELERATION	â	Angle/time²	[t-²]	Rad/s²	Rad/s-2
14	Moment of inertia	I	Mass ×(radius of gyration)²	[ML²]	kgm²	g.cm²
15	TORQUE	π	Force ×displacement	[ML²Tˉ²]	Nm	Dyne. Cm
16	Angular momentum	L	Moment of inertia× angular velocity	[ML²Tˉˡ]	Kgm²/s, Js	g.cm² sˉˡ
17	Gravitational constant	G	force× (displacement)² /mass× mass	[MˉˡL³Tˉ²]	Nm²/kg²	Dyne cm²gˉ²
18	Pressure	P	Force/area	[MLˉˡTˉ²]	N/m² or Pa	Dyne cmˉ²