Question

A hole is made at the bottom of the tank filled with water. If
the total pressure at the bottom of tank is 1.5 atm, then
velocity of efflux is
(1 atm = 105 N/m2)​

Answer 1

Given info : A hole is made at the bottom of the tank filled with water. The total pressure at the bottom of tank is 1.5 atm.

To find : The velocity of efflux is ...

solution : pressure at the surface of tank is equal to atmospheric pressure

so, P₁ = 1atm = 10⁵ N/m²

pressure at the bottom of the tank , P₂ = 1.5 atm = 1.5 × 10⁵ N/m²

so height of hole is made in the tank, h = (P₂ - P₁)/ρg

= (1.5 × 10⁵ N/m² - 10⁵ N/m²)/(1000 kg/m³ × 9.8 m/s²)

= (50)/(9.8) ....(1)

now velocity of efflux, v = √(2gh)

= √(2 × 9.8 × 50/9.8) [ from eq (1). ]

= 10 m/s

Therefore the velocity of efflux is 10 m/s.

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