Physics
Fluid-Mechanics
Easy

Question

A horizontal pipe line carries water in streamline flow. At a point where the cross-sectional area is 10 cm2 the water velocity is 1 ms-1 and pressure is 2000 Pa. The pressure of water at another point where the cross-sectional area is 5 cm2 is

  1. 200 Pa
  2. 400 Pa
  3. 500 Pa
  4. 800 Pa

The correct answer is: 500 Pa


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell text Now end text P subscript 1 equals 2000 P a comma v subscript 1 equals 1 m s to the power of negative 1 end exponent end cell row cell P subscript 2 equals ? comma v subscript 2 equals 2 m s to the power of negative 1 end exponent end cell row cell P subscript 2 plus 1 half cross times 1000 cross times 2 end cell row cell equals 2000 plus 1 half cross times 1000 cross times 1 cross times 1 end cell row cell text or end text P subscript 2 equals 2000 plus 500 left parenthesis 1 minus 4 right parenthesis equals 500 P a end cell end table

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