A cylinder 30cm long and 10cm^2 in cross-section is filled with water Calculate 1) Pressure 2) The thrust exerted by water on the bottom of the cylinder
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Given info : A cylinder 30cm long and 10cm^2 in cross-section is filled with water.
To find :
- pressure
- thrust exerted by water on the bottom of the cylinder.
solution : pressure at the bottom of cylinder = ρgh
where ρ = density of water = 10³ kg/m³
g = acceleration due to gravity = 9.8 m/s²
h = length of cylinder = 30cm = 0.3 m
now, pressure = 10³ × 9.8 × 0.3
= 2.94 × 10³ N/m²
thrust exerted by water on the bottom of the cylinder = pressure × base area
= 2.94 × 10³ N/m² × 10 cm²
= 2.94 × 10³ N/m² × 10 × 10¯⁴ m²
= 2.94 N
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