Physics
Fluid-Mechanics
Easy

Question

Water of density  flows out of a big tank along a tube bent at right angles. Length of the horizontal section of the tube is equal to L. Flow rate of water is Q. Torque due to the reaction of flowing water acting on the tube's walls radiative to point P will be (A is area of cross section of tube).

  1. fraction numerator rho Q squared L over denominator 2 A end fraction
  2. fraction numerator 2 p Q squared L over denominator 3 A end fraction
  3. fraction numerator rho Q squared L over denominator 4 A end fraction
  4. fraction numerator rho Q squared L over denominator A end fraction

The correct answer is: fraction numerator rho Q squared L over denominator A end fraction


    where V is velocity of stream from the tube equals F with not stretchy rightwards arrow on top equals negative rho A V squared i with not stretchy hat on top plus rho A V squared j with not stretchy hat on top
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row blank cell text Moment of force end text tau with not stretchy rightwards arrow on top equals L i with not stretchy hat on top cross times left parenthesis negative F with not stretchy rightwards arrow on top right parenthesis j with not stretchy hat on top equals rho A V squared L k with not stretchy hat on top end cell row blank cell text But end text Q equals Av text and end text A v squared equals Q squared over A not stretchy rightwards double arrow stack vertical line tau vertical line with rightwards arrow on top equals fraction numerator rho Q squared L over denominator A end fraction end cell end table

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