Asmooth sphere with a diameter of 6 inches and a density of 493 lbm/ft^3 falls at terminal speed through sea water (s. g.=1.0027). determine the terminal speed.

Given:

diameter of sphere, d = 6 inches

radius of sphere, r = = 3 inches

density,   = 493 lbm/

S.G = 1.0027

g = 9.8 m/ = 386.22 inch/

Solution:

Using the formula for terminal velocity,

=              (1)

where,

V = volume of sphere

= drag coefficient

Now,

Surface area of sphere, A =

Volume of sphere, V =

Using the above formulae in eqn (1):

=

=  

=

Therefore, terminal velcity is given by:

= inch/sec

answer:

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