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Mechanical Properties of Fluids

Buoyancy

A sphere of radius 10 cm and density 500 kg / m^3 is under wat

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Solving time: 3 mins

A sphere of radius $10$ cm and density $500 k g / m^{3}$ is under water of density $1000 k g / m^{3}$ . The acceleration of the sphere is $9.80 m / s^{2}$ upward. Viscosity of water is $1.0$ centipoises. If $g = 9.81 m / s^{2}$ , the velocity of sphere is:

9

m/s

10

m/s

11

m/s

12

m/s

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Sebastian Discussed

A sphere of radius

10

cm and density

500 k g / m^{3}

is under water of density

1000 k g / m^{3}

. The acceleration of the sphere is

9.80 m / s^{2}

upward. Viscosity of water is

1.0

centipoises. If

g = 9.81 m / s^{2}

, the velocity of sphere is:

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

We know that

F_{n e t} =

Buoyancy

- m g -

drag force

\frac{4}{3} π (0.1)^{3} \times 500 \times 9.8 = 1000 \times \frac{4}{3} π (0.1)^{3} \times 9.81 - 500 \times \frac{4}{3} π (0.1)^{3} \times 9.81 - 6 π \times 1 0^{- 3} \times V \times 0.1

6 π \times 1 0^{- 3} v = 500 \times \frac{4}{3} π (0.1)^{2} (0.01)

V = \frac{100}{9} = 11 m/sec

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Question Text	A sphere of radius $10$ cm and density $500 k g / m^{3}$ is under water of density $1000 k g / m^{3}$ . The acceleration of the sphere is $9.80 m / s^{2}$ upward. Viscosity of water is $1.0$ centipoises. If $g = 9.81 m / s^{2}$ , the velocity of sphere is:
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	93

A sphere of radius $10$ cm and density $500 k g / m^{3}$ is under water of density $1000 k g / m^{3}$ . The acceleration of the sphere is $9.80 m / s^{2}$ upward. Viscosity of water is $1.0$ centipoises. If $g = 9.81 m / s^{2}$ , the velocity of sphere is:

Text solutionVerified

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A sphere of radius 10 cm and density 500kg/m3 is under water of density 1000kg/m3. The acceleration of the sphere is 9.80m/s2 upward. Viscosity of water is 1.0 centipoises. If g=9.81m/s2, the velocity of sphere is:

Text solutionVerified

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A sphere of radius $10$ cm and density $500 k g / m^{3}$ is under water of density $1000 k g / m^{3}$ . The acceleration of the sphere is $9.80 m / s^{2}$ upward. Viscosity of water is $1.0$ centipoises. If $g = 9.81 m / s^{2}$ , the velocity of sphere is: