Solution


We require that r1 v1 d1/m1 = r2 v2 d2/m2.

In[4]:=

  vglycerine = Solve [ rho1 v1 d1/mu1 == rho2 v2 d2/mu2, v1 ]

Out[4]=

          d2 mu1 rho2 v2
  {{v1 -> --------------}}
           d1 mu2 rho1

In[5]:=

  data = { rho1 -> 1.26  gm/cm^3,
           d2 -> 1.00 10^-2 cm,
           v2 -> 0.200  cm/sec, 
           mu2 -> 1.00 10^-2 gm/(cm sec),
           mu1 -> 23.3 gm/(cm sec), 
           d1 -> 5.00 cm, 
           rho2 -> 0.998 gm/cm^3}

Out[5]=

           1.26 gm                       0.2 cm
  {rho1 -> -------, d2 -> 0.01 cm, v2 -> ------, 
               3                          sec
             cm
   
           0.01 gm         23.3 gm
    mu2 -> -------, mu1 -> -------, d1 -> 5. cm, 
           cm sec          cm sec
   
            0.998 gm
    rho2 -> --------}
                3
              cm

In[6]:=

  vglycerine[[1,1,2]] /. data

Out[6]=

  0.738203 cm
  -----------
      sec

Up to 1.2 Drag coefficient and Reynolds number