A cubical tub of side 2 m is full of water. Calculate the total thrust and pressure at the bottom of tank due to water. (Take, density of water 1000 ${{kgm}^{-3}}$ and g = 10 ${{ms}^{-2}}$)
Volume of cubical tub = Length X Breadth X Height Here,
length = breadth = height = 2 m
Volume = 2x2x2 = 8 ${{m}^{3}}$
Mass of water = Volume X Density of water = 8 X 1000 = 8000 kg
.’. Weight of water = Mass X Acceleration due to gravity = 8000 X 10 = 8 X${{10}^{4}}$ N
.’. Total thrust = Weight of water = 8 X 104 N (i) Area of bottom = Area of square shape of tub = 2x2 = 4 ${{m}^{2}}$
.’. Pressure or water at the bottom =Force / Area = Weight / Area = 8 x ${{10}^{4}}$ / 4 = 2 x ${{10}^{4}}$ N