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Physics

Fluid-Mechanics

Easy

Question

A semi cylindrical block is used as a gate of a water reservoir Radius of the cylinder in R and length of the block is L. The block is pivoted about its axis as shown. d is density of water. Torque offered by water about the axis will be

$d g R^{2} L^{2}$
$\frac{d g R^{2} L^{2}}{2}$
$\frac{d g R^{3} L}{2}$
zero

The correct answer is: zero

If we consider different elements on the curved surface of the cylinder, hydrostatic force acting one each element passes through the axis. So,torque produced about axis will be zero.

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