Physics
Fluid-Mechanics
Easy

Question

A broad pipe having a radius 10 cm branches into two pipes of radii, 5 cm and 3 cm. If the velocity of flowing water in the pipe of radius 3 cm be 5 cm/s, determine the velocities of water in the remaining two pipes. Given that the rate of discharge through the main branch, is 600 pi c m cubed divided by s.

  1. v subscript 1 equals 6 cm divided by straight s space text and  end text v subscript 2 equals 22.2 cm divided by straight s
  2. v subscript 1 equals 4 cm divided by straight s space text and  end text v subscript 2 equals 12.2 cm divided by straight s
  3. v subscript 1 equals 3 cm divided by straight s space text and  end text v subscript 2 equals 12.2 cm divided by straight s
  4. None

The correct answer is: v subscript 1 equals 6 cm divided by straight s space text and  end text v subscript 2 equals 22.2 cm divided by straight s


    Consider any three sections (1),(2) and (3) in the three pipes of different radii, as shown the figure. If  and  be the velocity of water at section (1) and (2) respectively, then
    a subscript 1 equals pi left parenthesis 10 right parenthesis squared cm squared semicolon a subscript 2 equals pi left parenthesis 5 right parenthesis squared cm squared semicolon a subscript 3 equals pi left parenthesis 3 right parenthesis squared cm squared
table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell v subscript 1 equals semicolon v subscript 2 equals ? text and end text v subscript 3 equals 5 cm divided by straight s end cell row cell a subscript 1 v subscript 1 equals 100 pi v subscript 1 cm cubed divided by straight s semicolon a subscript 2 v subscript 2 equals 25 pi v subscript 2 cm cubed end cell row cell a subscript 3 v subscript 3 equals 9 pi cross times 5 equals 45 pi cm cubed divided by straight s end cell row cell not stretchy rightwards double arrow space of 1em 600 pi equals 100 pi v subscript 1 equals 25 pi v subscript 2 plus 45 pi end cell end table

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