Dimensions and dimensional formula of physical and mechanical quantities

                                                                                                                                                                                                                                                                                                                                                                                                                           

Dimensional formula
Physical quantity	formula	SI unit
Density	$$\frac{mass}{volume}$$	$$kg m^{-2}$$
Area	length x width	$$m^{2}$$
Volume	length x width x height	$$m^{3}$$
Specific gravity	$$\frac{density \ of \ body }{density \ of \ water \ at  \ 4°c}$$	no unit
Speed / velocity	$$\frac{distance \ or \ displacement} {time}$$	$$m s^{-1}$$
Linear momentum	mass ×velocity	$$kg m s^{-1}$$
Acceleration	$$\frac{change \ in \ velocity} {time \ taken}$$	$$m s^{-2}$$
Acceleration due to gravity	$$\frac{change \  in\  velocity} {time \ taken}$$	$$m s^{-2}$$
Force	mass×acceleration	N(newton)
Impulse	force x time	Ns
Pressure	$$\frac{force}{area}$$	$$Nm^{-2}$$
Universal constant of gravitation	$$G= \frac{f r^{2}}{ m_{1} m_{2}}$$	$$kg^{-2}Nm^{2}$$
Frequency	number of vibrations /second	Hz(hertz)
Wavelength	length of one wave	m
Torque	$$/ \alpha$$	Nm
Angular momentum	$$/ \omega$$	$$kg m^{2} s^{-2}$$
Angular acceleration	$$\frac{change\  in \ angular \ velocity}{time \ taken}$$	$$rad \  s^{-2}$$
Work	Force x distance	J(joule)
Angular velocity	$$\frac{angle}{time}$$	$$rad \  s^{-1}$$
Resistance	$$\frac{potential \ difference} {current}$$	(ohm)
Tension	force	N(newton)
Thrust	Force	N(newton)
Power	work time	w(watt)
Moment of force	force x distance	Nm
energy	work	J(joule)