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+2 votes
1.0k views
by (179 points)
a)4m/s

b)8m/s

c)16m/s

d)32m/s

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1 Answer

+2 votes
by (130k points)

Apply the concept formula to get the answer

When a sphere of radius r moves with a velocity v through a fluid of viscosity η, the viscous force opposing the motion of the sphere is

F = 6πη r v

If for a sphere viscous force become equal to the net weight acting downward, the velocity of the body become constant and is known as terminal velocity.

6πη r vT = (4/3) πr3 (ρ – σ)g

by (179 points)
This formula leads me to v=k.r^2=k.V/r
which gives me v=k.V
and it give me v=16m/s which is wrong, the answer is 8m/s ?

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