Question

A vessel contains water up to a height of 1.5 m. Taking the density of water 10³ kg m^-3, acceleration due to gravity 9.8 m s^-2 and area of base of vessel 100 cm², calculate: (a) the pressure and (b) the thrust at the base of vessel.

Answer 1

Given height , h = 1.5 m
Density of water , ρ = 10³ kgm^-3 
Acceleration due to gravity , g = 9.8 m/s² 
Area of base of the vessel , a = 100 cm² = `100 xx 10^-4  "m"^2`

(a) Pressure , P = hρg
or , P = `1.5 xx 10^3 xx 9.8`
or , P = `1.47 xx 10^4  "Nm"^-2`

(b) Thrust = Pressure × area
or , thrust = `1.47 × 10^4 × 100 × 10^-4` N
or , thrust = 147 N