(a) Radius of spherical ball is 4m and its density is 8kg/m” it is dipped in a liquid of 4kg/mºjf
coefficient of viscosity is 0.2 decapoise, find the terminal velocity of the body in the liquid.
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Answer:
A spherical ball of density ρ and radius 0.003m is dropped into a tube containing a viscous fluid up to the 0 cm mark as shown in the figure. Viscosity of the fluid =1.26N−s/m
2
and its density ρ
L
=
2
ρ
=1260kg/m
3
Assume the ball reaches a terminal speed at 10cm mark. The time taken by the ball to travel the distance between the 10cm and 20cm mark is (g=10m/s
2
)
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ANSWER
v
T
=
9
2
η
r
2
(ρ−σ)g
=
9×1.26
2×(0.003)
2
(1260×2−1260)×10
=0.02 m/s
t=
v
T
d
=
0.02
10×10
−2
=5 s
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