Supplementary Material, Appendix G – G.15

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 15

G.15 A flywheel was assembled by welding 4 slender spokes to a short hollow thick-walled cylinder. The outer diameter of the cylinder is 1000 mm and the inner diameter 900 mm. Compute the weight moment of inertia WR² of the flywheel neglecting the effect of axle and spokes assembly.

Solution:

Weight moment of inertia WR² of flywheel is the polar weight moment of inertia of the cylinder, neglecting the contribution from other components.

I_zw = I_zw(cylinder)

I_zw = W_cylinder * (1/2) (r₂² + r₁²)

W_cylinder = 3425.535 N, r­₁ = 0.5m, r­₂ = 0.45m

I_zw = 775.027 N-m²

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