Power can be defined as the work done per unit time.
Mathematically,
\[POWER=\frac{WORK DONE}{TIME}\]
The work done is a product of force acting on a body and the its displacement.
\[POWER=\frac{FORCE* DISPLACEMENT}{TIME}\]
\[P=\frac{F*s}{t}\]
Therefore the dimensions of the power can be given as,
\[[P]=\frac{[F]*[s]}{[t]}\]
as we know that,
the dimensions of the force is
\[[F]=[M^{1},L^{1},T^{-2}]\]
Therefore,
\[[P]=\frac{[M^{1},L^{1},T^{-2}]*[L]^{1}}{[T]^{1}}\]
\[[P]=[M^{1},L^{1},T^{-2}]*[L]^{1}*[T]^{-1}\]
\[[P]=[M^{1},L^{1+1},T^{-2-1}]\]
The dimensions of the power can be given as,
\[[P]=[M^{1},L^{2},T^{-3}]\]
Hi. I’m Designer of Blog Magic. I’m CEO/Founder of ThemeXpose. I’m Creative Art Director, Web Designer, UI/UX Designer, Interaction Designer, Industrial Designer, Web Developer, Business Enthusiast, StartUp Enthusiast, Speaker, Writer and Photographer. Inspired to make things looks better.
0 comments:
Post a Comment