Question

the diameter of ball A is half that of ball B what will be the ratio of the terminal velocity ?​

Answer 1

Answer:

1:4

The terminal velocity is directly proportional to the square of radius of the ball therefore the ratio of terminal velocities will be 1:4.

Answer 2

Answer:

The terminal velocity V of the body of radius r, density ρ falling through a medium of density ρ

o

is given by

V=

9η

2r

2

(ρ−ρ

o

)g

where η is the coefficient of viscosity of medium.

clearly V∝r

2

V

y

V

x

=(

r

y

r

x

)

2

⇒

V

y

V

x

=

4

1

∵r

y

=2r

x

⇒V

y

:V

x

=1:4