Question

How much force does water exert on the base of a house tank of base area
1.5m²when it is filled with water up to a height of 1 m. if (g = 10 m/s²)​
plz answer it

Answer 1

$\mathfrak{ \huge{ \pink{ \underline{Answer}}}} \\ \\ \bigodot \: \bold{given} \\ \implies \: area \: of \: cross \: section = 1.5 {m}^{2} \\ \implies \: height \: of \: water \: column \: = 1m \\ \implies \: gravitational \: acceleraton = 10 \frac{m}{ {s}^{2} } \\ \bigodot \: \bold{to \: find} \\ \implies \: force \: exertes \: on \: base \: of \: water \: tank \\ \bigodot \: \bold{formula} \\ \implies \: pressure \: due \: to \: height = \blue{{ \rho}gh} \\ \implies \: \blue{force = pressure \times area} \\ \bigodot \: \bold{calculation} \\ \implies \: pressure = \rho \: gh \\ \implies \: p \: = 1000 \times 10 \times 1 \\ \implies \: p = {10}^{4} pa \\ \\ \implies \: force = p \times a \\ \implies \: f = {10}^{4} \times 1.5 newton\\ \\ \implies \: so \: force \: exertes \: on \: base \: of \: water \: tank \: is \: \boxed{ \pink{f = 1.5 \times {10}^{4}newton}}$