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A steel ball with radius 0.3 mm is falling with velocity of 2 m/s through a tube filled with glycerine. Calculate viscous force acting on the steel ball. [Given: 𝑁glycerine = 0.833 Ns/m2] - Physics

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Question

A steel ball with radius 0.3 mm is falling with velocity of 2 m/s through a tube filled with glycerine. Calculate viscous force acting on the steel ball.

[Given: `N_"glycerine"` = 0.833 Ns/m2]

Numerical
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Solution

Given: r = 0.3 m.m = 0.3 × 10−3 m

v = 2 m/s

η = 0.833 Ns/m2

We have:

F = 6 π η r v

= 6 × 3.142 × 0.833 × 0.3 × 10−3 × 2

= 9.422 × 10−3 N

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