Question 5.C-A.69: A cylinder of height one metre is filled with water and is p...
A cylinder of height one metre is filled with water and is provided with light, frictionless piston. The radius of the piston is 40 cm. A W weight of 10 kg_{wt} is placed over the piston
If a small hole is made at the level of the centre of gravity, then what is the pressure of the water that rushes out? (g = 10 m s^{–2})
The height of the water level from the hole = 50 cm
The pressure at the hole, only due to water level is hdg
hdg =0.5 m \times 10^{3} kg m ^{-3} \times 10P_{1}=5 \times 10^{3} Pa
The pressure exerted due to 10 kgwt is P_{2}
P_{2}=\frac{\text { Weight }}{\text { area of cross section }}
P_{2}=\frac{10 \times 10 N}{\frac{22}{7} \times 0.4 \times 0.4 m ^{2}}
P_{2}=\frac{100 \times 7}{22 \times 0.16}=198.8 Pa
The pressure with which water rushes out = P_{1} + P_{2} = 5000 + 198.8 = 5,198 Pa
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