# Physical quantitie, their dimensions, their dimensional formula and the relationship with other physical quantities

saiyyam jain
26 Points
one year ago

### Dimensional formula of function of quantities

[I]=[mvr]=[M1L2T1]Hence,
[r]=[M0L1T0]
[v]=[M0L1T1]
[m]=[M1L0T0]
. Its dimensional formula can be found as:I=mvrAngular momentum of a physical quantity is given by
Example:

[AxBy]=[Mxam+ybmLxal+yblTxat+ybt] is given by AxByThen dimensional formula of
[B]=[MbmLblTbt] and [A]=[MamLalTat]Let dimensional formulas of two quantities be given by

.
kg×m/s2 It's because the unit of Force is N(newton) or F=[MLT2]The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is

Dimension, an expression of the character of a derived quantity in relation to fundamental quantities, without regard for its numerical value. In any system of measurement, such as the metric system, certain quantities are considered fundamental, and all others are considered to be derived from them.