Question

water flows through a horizontal pipe of cross section at the rate of 10 metre cube per minute. determine the velocity of the water at a point where the radii of the pipe is 10 cm
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Answer 1

Answer:

water flows through a horizontal pipe having a cross-section at the rate of a 10-metre cube per minute. The velocity of the water at a point where the radius of the pipe is  10 cm is 5.30785$ms^{-1}$

Explanation:

 If the water is flowing through a pipe of an area of cross-section A  with velocity v then,

      $Velocity = \frac{Rate of flow }{Area of crosssection}$

                V = $\frac{Q}{A}$

Given,

Radius of the pipe (r ) = 10 cm = 0.1 m

Area of cross section (A) = $\pi r^{2}$ = $3.14 \times 0.1^{2}$ = 0.0314 $m^{2}$

Rate of flow (Q) = 10 $m^{3}$ per minute =  $\frac{10}{60} m^{3} / sec$

    Velocity    =   $\frac{10}{60} \times \frac{1}{0.0314}$  

               V    =   5.30785 $ms^{-1}$