Question

A vessel contains water up to a height of 1.5 m. Taking the density of water 10 3 kg m -3, acceleration due to gravity 9.8 m s -2 and area of base vessel 100 cm 2, calculate (a) the pressure and (b) the thrust, at the base of vessel.

March 16, 2024

Answer

height (h) = 1.5 m

density (ρ) = 1000 kg m ^-3

g = 9.8 m s^-2

(a) Pressure (P) = h × ρ × g

= 1.5 × 1000 × 9.8

= 1.47 × 10⁴ N m^-2

(b) Area (A) = 100 cm ² or 10^-2 m ^-2

Thrust (F) = Pressure × Area

= 1.47 × 10⁴ × 10^-2= 147 N

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