Differences between revisions 5 and 9 (spanning 4 versions)
Revision 5 as of 2015-07-14 19:41:49
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Revision 9 as of 2015-07-14 19:58:13
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|| Ratio ||<:-2> $ T = ( 2 /\sqrt[4]{3} ) Q ~ \approx ~ 1.51967 ~ Q $ ||<:-2> $ Q = ( \sqrt[4]{3}/2 ) T ~ \approx ~ 0.65804 ~ T $ ||
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|| Moment<<BR>of<<BR>Inertia|| || || || || || Moment<<BR>>of<<BR>>Inertia|| || || || ||

Triangle or Square?

What is the optimum shape for a thinsat?


Triangle

Square

Tri.png

Quad.png

Area

A = \sqrt{3} T^2 / 4

A = Q^2

Side

T = 2 \sqrt{A / \sqrt{3} }

Q = \sqrt{A}

Ratio

T = ( 2 /\sqrt[4]{3} ) Q ~ \approx ~ 1.51967 ~ Q

Q = ( \sqrt[4]{3}/2 ) T ~ \approx ~ 0.65804 ~ T

Rotational
Center

TriA.png

TriB.png

QuadA.png

QuadB.png

Moment
of
Inertia

TriQuad (last edited 2015-07-18 07:25:18 by KeithLofstrom)