Water running in a cylindrical pipe …

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Sia ? 6 years, 5 months ago
Flow rate {tex}= \frac { \text { Volumetric flow rate } } { \text { Area } }{/tex}
Area = {tex}\pi r ^ { 2 }{/tex}
{tex}= \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times \frac { 7 } { 2 } = 38.5 \mathrm { cm } ^ { 2 }{/tex}
Volumetric flow rate = 192.5 l/min.
Since 1 l = 0.001 m3 = 1000 cm3
So, volumetric flow rate = 192.5 {tex}\times{/tex} 1000 cm3/min
So, flow rate per 38.5 cm2 {tex}= \frac { 192.5 \times 1000 \space cm^3 /min} { 38.5\space cm^2 } {/tex}
{tex}\Rightarrow{/tex} flow rate = 5000 cm/min
{tex}= \frac { 5000 \times 0.00001 \mathrm { km } } { \left( \frac { 1 } { 60 } \right) \mathrm { h } }{/tex}
= 3 km/hr
Thus, water is flowing at the speed of 3 km/hr in the water pipe
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