Supplementary Material, Appendix G – G.19

APPENDIX G – Pumps and Turbines

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Surge Analysis and the Wave Plan Method

Supplementary Material: Example Problems and Solutions

Appendix G – Problem 19

G.19 Compute the weight moment of inertia WR2 of the object described in the previous example (with respect to z-axis) if the alternate blocks of lightweight material are removed from the assembly (or replaced with ultra-lightweight material of negligible density, such as Styrofoam).

Solution:

Izw = Izw(CompositeClinder) + Izw(plate)

            Izw = WCompositeClinder * (1/2) (r22 + r12)  + Wplate * (1/2) (r2

            Density of the composite cylinder = 0.5*(7800+0) = 3900 kg/m3

WCompositeClinder = 1712.767 N,

Wplate = 2596.195 N, r­1 = 0.5m, r­2 = 0.45m, r­ = 0.6m

Izw = 854.829 N-m2


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