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Physics - Fluid Question with Solution | TestHub

PhysicsFluidPressureMedium3 minQB

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A dam (height $H$ , width $W$ , one wall inclined at angle $θ$ ) is fully filled with water (density $ρ$ ). If g is the acceleration due to gravity, the resultant force exerted by the water on the dam wall is given by (Neglect atmospheric pressure) :-

CT57 question 3 diagram

Options:

Answer:

Solution:

For a strip at distance x along the wall:
$d F = (ρ gx sin θ) (W d x)$
$F = ρ g W sin θ \int_{0}^{d} x d x$
$F = \frac{ρ g W sin θ d ^{2}}{2}$
$d sin θ = H \Rightarrow d = \frac{H}{sin θ}$
$F = \frac{ρ g H ^{2} W}{2 sin θ}$
Option B.

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Pressure

⏱ 3mℹ️ Source: QB

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