Volume Flowrate

Classical Mechanics Level 2

A stream of water falls against a trough’s bottom with velocity $v_{o}$ and splits into smaller streams going to the left and to the right.

Find the velocities of both streams if the incoming stream was inclined at an angle $\alpha$ to the trough (and the resultant streams).
What is the ratio( $\beta$ ) of amounts of water carried per unit time in the two outgoing streams? ( $\frac{Pipe1}{Pipe2}$ )

$Clarification :$

$Cross-Section$ $area$ $of$ $outgoing$ $pipes$ $are$ $same.$
$v_{1}$ $is$ $for$ $left$ $pipe$ $and$ $v_{2}$ $is$ $for$ $right.$

v_{1}

and

v_{2}

Cannot be determined

and

\beta = tan(\alpha)

v_{1} = \frac{v_{o}}{2}

,

v_{2} = \frac{v_{o}}{2}

,

\beta = cos^{2}(\frac{\alpha}{2})

v_{1}

and

v_{2}

Cannot be determined

and

\beta = cot^{2}(\frac{\alpha}{2})

v_{1} = v_{o}

,

v_{2} = v_{o}

,

\beta = cot^{2}(\frac{\alpha}{2})

0 solutions

No explanations have been posted yet. Check back later!