Water is flowing steadily in a river. A and B | vedclass

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(C) In a steady flow of a river,the velocity $v$ of a layer at a height $y$ from the bottom is given by the relation $v \propto y$,assuming a linear v

Vedclass · Accepted Answer

$27$

Vedclass · Answer

(C) In a steady flow of a river,the velocity $v$ of a layer at a height $y$ from the bottom is given by the relation $v \propto y$,assuming a linear velocity profile (laminar flow).Thus,$\frac{v_A}{y_A} = \frac{v_B}{y_B}$.Given: $v_A = 12 \ cm/s$,$y_A = 40 \ cm$,and $y_B = 90 \ cm$.Substituting the values: $\frac{12}{40} = \frac{v_B}{90}$.$v_B = \frac{12 	imes 90}{40} = \frac{1080}{40} = 27 \ cm/s$.Therefore,the velocity of layer $B$ is $27 \ cm/s$.

Water is flowing steadily in a river. $A$ and $B$ are two layers of water at heights $40 \ cm$ and $90 \ cm$ from the bottom. The velocity of layer $A$ is $12 \ cm/s$. If the velocity of the water at the bottom is $0$,what is the velocity of layer $B$ (in $cm/s$)?

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