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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.
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Solution
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
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