Hydrostat

Explain why (a) the blood pressure is humans is greater at the feet than at the brain. (b) Atmospheric pressure at a height of about 6 km decreases to nearly half its value at the sea level through the 'height' of the atmospheric is more than 100 km. (c) Hydrostatic pressure is a scalar quantity even though pressure is force divded by area , and force is a vector.

Statement-1 : In a capillary tube, excess pressure is balanced by hydrostatic pressure and not by weight. And Statement-2 : The vertical height of a liquid column in capillaries of different shapes and sizes will be same if the radius of meniscus remains same.

A cylinder of radius R, height H and density simga has a hemispherical cut at its bottom. The top of the cyliner is kept at depth h from the liquid surface. If the density of liquid is rho , find the hydrostatic force acting on the hemispherical surface of the cylinder.

A rectangular tank is 10 m long 5 m broad and 3m high. It is filled to the rim with water of density 10^(3)kgm^(-3). Calculate the thrust at the bottom and walls of the tank due to hydrostatic pressure. Take g=9.8"ms"^(-2).

A composite plate comprises a triangular area (1) and rectangular area (2) as shown in the figure. The triangular plate experiences forces due to the liquids of densities rho_(1) and the rectangular plate experiences the force due to liquid of density rho_(2) . Find the hydrostatic forces on (a) area 1 , (b) area 2 , (c) total composite area of the plate. Assume rho_(1)=rho and rho_(2)=2rho .