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A water drop of radius 1.5 mm is falling from height 1 km havi

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A water drop of radius $1.5 mm$ is falling from height $1 km$ having drag constant $0.5$ density of water drop is $1000 k g / m^{3}$ and density of air is $1.29 k g / m^{3}$ . Find the terminal velocity.

8.7 m / s

7.8 m / s

5.6 m / s

4.3 m / s

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Emma Discussed

A water drop of radius

1.5 mm

is falling from height

1 km

having drag constant

0.5

density of water drop is

1000 k g / m^{3}

and density of air is

1.29 k g / m^{3}

. Find the terminal velocity.

12 mins ago

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Text solutionVerified

As an object falls through the atmosphere, there is air resistance acting on it. Air resistance is dependent on the velocity of the falling object, so as it speeds up, the force acting on it gets larger and larger.

Eventually, the force from air resistance will equal the force due to gravity. At that point the forces, acting in opposite directions, will sum to zero meaning that the object will travel at a constant velocity: terminal velocity.

The terminal velocity varies based on drag coefficients and masses.

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Question Text	A water drop of radius $1.5 mm$ is falling from height $1 km$ having drag constant $0.5$ density of water drop is $1000 k g / m^{3}$ and density of air is $1.29 k g / m^{3}$ . Find the terminal velocity.
Answer Type	Text solution:1
Upvotes	151

A water drop of radius 1.5 mm is falling from height 1 km having drag constant 0.5 density of water drop is 1000 kg/m3 and density of air is 1.29 kg/m3. Find the terminal velocity.

Text solutionVerified

Practice questions from similar books

A water drop of radius $1.5 mm$ is falling from height $1 km$ having drag constant $0.5$ density of water drop is $1000 k g / m^{3}$ and density of air is $1.29 k g / m^{3}$ . Find the terminal velocity.