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Terminal velocity

Find the terminal velocity of a steel ball of diameter 0.2 cm

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Medium

Solving time: 3 mins

Find the terminal velocity of a steel ball of diameter $0.2 c m$ when it falls through a tube filled with glycerin.
$(g = 9.8 m / s^{2}$ ,density of steel $= 8000 k g / m 63$ ,density of glycerin $= 1.33 g / c m^{3}, η = 8.33$ poise $= 0.833 N s / m^{2}$ )

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Find the terminal velocity of a steel ball of diameter

0.2 c m

when it falls through a tube filled with glycerin.

(g = 9.8 m / s^{2}

,density of steel

= 8000 k g / m 63

,density of glycerin

= 1.33 g / c m^{3}, η = 8.33

poise

= 0.833 N s / m^{2}

)

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Given :

σ = 8000 k g / m^{3}

ρ = 1330 k g / m^{3}

Radius of ball,

r = \frac{d}{2} = \frac{0.2 c m}{2} = 0.1 c m = 1 0^{- 3} m

Terminal velocity,

v = \frac{2 g r ^{2} ( σ - ρ )}{9 η}

v = \frac{2 \times 9.8 \times ( 1 0 ^{- 3} ) ^{2} ( 8000 - 1330 )}{9 \times 0.833} = 1.74 \times 1 0^{- 2} m / s = 1.74 c m / s

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Question Text	Find the terminal velocity of a steel ball of diameter $0.2 c m$ when it falls through a tube filled with glycerin. $(g = 9.8 m / s^{2}$ ,density of steel $= 8000 k g / m 63$ ,density of glycerin $= 1.33 g / c m^{3}, η = 8.33$ poise $= 0.833 N s / m^{2}$ )
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	91

Find the terminal velocity of a steel ball of diameter $0.2 c m$ when it falls through a tube filled with glycerin.
$(g = 9.8 m / s^{2}$ ,density of steel $= 8000 k g / m 63$ ,density of glycerin $= 1.33 g / c m^{3}, η = 8.33$ poise $= 0.833 N s / m^{2}$ )

Text solutionVerified

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Find the terminal velocity of a steel ball of diameter 0.2cm when it falls through a tube filled with glycerin.(g=9.8m/s2,density of steel =8000kg/m63,density of glycerin =1.33g/cm3,η=8.33 poise =0.833Ns/m2)

Text solutionVerified

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Find the terminal velocity of a steel ball of diameter $0.2 c m$ when it falls through a tube filled with glycerin.
$(g = 9.8 m / s^{2}$ ,density of steel $= 8000 k g / m 63$ ,density of glycerin $= 1.33 g / c m^{3}, η = 8.33$ poise $= 0.833 N s / m^{2}$ )