Question

A non-viscous liquid flows through a hose. Liquid enters with velocity 6.4 m/sec and leaves with velocity 2-5m/sec. What is the ratio of radii, where the liquid enters to the end where it leaves?

Solution

According to the equation of continuity,
$space space space space space space space space space straight a subscript 1 straight v subscript 1 space equals space straight a subscript 2 straight v subscript 2 space rightwards double arrow space space πr subscript 1 squared straight v subscript 1 space equals space πr subscript 2 squared straight v subscript 2 rightwards double arrow space straight r subscript 1 over straight r subscript 2 space equals space square root of straight v subscript 2 over straight v subscript 1 end root space where comma space straight r subscript 1 space and space straight r subscript 2 space be space the space radii space of space pipes space where space liquid space enters space and space leaves space respectively. space Therefore comma space straight r subscript 1 over straight r subscript 2 space equals space square root of straight v subscript 2 over straight v subscript 1 end root space rightwards double arrow space square root of fraction numerator 2.5 over denominator 6.4 end fraction end root space equals space 5 over 8$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

A non-viscous liquid flows through a hose. Liquid enters with velocity 6.4 m/sec and leaves with velocity 2-5m/sec. What is the ratio of radii, where the liquid enters to the end where it leaves?

Some More Questions From Mechanical Properties of Fluids Chapter

What is hydrodynamics?

Can fluids withstand tangential stress?

Can fluids withstand normal stress?

Why the fluids do not have any modulus of rigidity?

Which phase of fluid is more compressible?

What is an ideal liquid?

Do liquids exert pressure?

Define pressure.

What is the direction of pressure?

What is the direction in which pressure exerts force on the walls of a container?

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