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)