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

Engineering

Physics

Viscosity

Question

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

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$100 \times \frac{4}{3} {πr}^{3} g - 500 \times \frac{4}{3} {πr}^{3} g - 6 πηrv = 500 \times \frac{4}{3} {πr}^{3} a$

$\frac{0 .2}{3} = 6 \times 1 \times 10^{- 3} v$

$\frac{200}{18} = v$

11 m/s

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