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Mechanical Properties of Fluids

Efflux velocity

A water hose 2 cm in diameter is used to fill a 20-liter bucke

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Medium

Solving time: 3 mins

A water hose 2 cm in diameter is used to fill a 20-liter bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,

150 cm/s

70 cm/s

100 cm/s

106 cm/s

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Text solutionVerified

Given ,

d = 0.02 ⟹ r = 0.01

Area =

π r^{2} = π 0.0 1^{2}

Volume rate of flow,

V = \frac{V}{t} = \frac{20 L}{60} = \frac{1 0 ^{- 3}}{3} m^{3} s^{- 1}

Volume rate of flow = Cross-Section Area x Velocity of Flow

\frac{d V}{d t} = \dot{V} = A v

v = \frac{V ˙}{A} == \frac{1 0 ^{- 3}}{3} m^{3} s^{- 1} \times \frac{1}{π 0.0 1 ^{2}} = 1.06 m / s = 106 c m / s

Hence, velocity of water leaves hose is

106 c m / s

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Question Text	A water hose 2 cm in diameter is used to fill a 20-liter bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	141

A water hose 2 cm in diameter is used to fill a 20-liter bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,

Text solutionVerified

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A water hose 2 cm in diameter is used to fill a 20-liter bucket. If it takes 1 minute to fill the bucket, then the speed v at which the water leaves the hose is,

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