Proof:

P = hpg

Asked by Asif.k1992 | 12th Sep, 2019, 02:41: PM

Expert Answer:

Pressure is defined as Force per unit area.
which can be written as 
straight P equals straight F over straight A...... left parenthesis 1 right parenthesis space space space space space
straight F equals ma
Density equals Mass over Volume
Mass equals Density cross times Volume
space space straight m equals straight rho cross times straight V
straight F equals straight rho cross times straight V cross times straight a

After space puting space value space of space straight F space in space equation space left parenthesis 1 right parenthesis

straight P equals fraction numerator straight rho cross times straight V cross times straight a over denominator straight A end fraction

Volume left parenthesis straight V right parenthesis equals straight A cross times straight h space left parenthesis Area cross times height right parenthesis

Here space acceleration space left parenthesis straight a right parenthesis equals straight g space space space left parenthesis due space to space gravity right parenthesis

So comma space straight P equals fraction numerator straight rho cross times straight A cross times straight h cross times straight g over denominator straight A end fraction space
space space space space space space space space space equals ρgh

Answered by Ravi | 12th Sep, 2019, 07:05: PM