Differences between revisions 8 and 9
⇤ ← Revision 8 as of 2015-07-14 19:56:37 →
Size: 873
Editor: KeithLofstrom
Comment:
← Revision 9 as of 2015-07-14 19:58:13 → ⇥
Size: 877
Editor: KeithLofstrom
Comment:
Deletions are marked like this. Additions are marked like this.
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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 $ || || Ratio ||<:-2> $ T = ( 2 /\sqrt[4]{3} ) Q ~ \approx ~ 1.51967 ~ Q $ ||<:-2> $ Q = ( \sqrt[4]{3}/2 ) T ~ \approx ~ 0.65804 ~ T $ ||

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)