A working fluid with a viscosity of  = 0.2 St and a de

A working fluid with a viscosity of  = 0.2 St and a density of  = 900 kg / m3 is supplied to the press cylinder by a hydraulic accumulator using a pipeline of length l and diameter d (see Figure 1). Accumulator weight G, piston diameter D1 = 220 mm. Determine the speed of the plunger, if the pressing force F, and the diameter of the plunger D2 = 300 mm. The flow regime in the pipe should be adopted laminar. Neglect the weight of the plunger.
 It is set: the weight of the accumulator cargo G = 420 kN = 420 * 103 N; pressing force F = 690 kN = 690 * 103 N; piston diameter D1 = 220mm = 0.22 m; the diameter of the plunger D2 = 300mm = 0.3 m; pipeline diameter d = 26 mm = = 0.026m; pipe length l = 150 m; fluid density  = 900 kg / m3; fluid viscosity  = 0.2 St = 2 * 10-5 m2 / s.
Determine: the speed of the plunger v.
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