t # header m Noodle calc: an IDitotic calculation # header 1 d m
m
| Table 1: m IDitotic calculation* | m|
|---|---|
| m Rigatoni length (cm): m | m5.3 p m | m
| m Rigatoni outer diameter (cm, from Figure 4): m | m1.7 p m | m
| m Rigatoni cylinder surface (length * outer diameter * π), m cm2: m | m* 3.14156 * p m | m
| m Rigatoni cylinder ends ((outer diameter/2)2 * π * 2), m cm2: m | m1.7 2 / , * 3.14156 * 2 * p m | m
| m Rigatoni total surface (surface + ends), cm2: m | m+ p m | m
|
m Based on the estimated clearance of insertion, 0.15 cm, m using the clearance as the radius of a circle m into which the insertion must be made, m the target for insertion from either end is m (2 * π * clearance2), m cm2: m |
m0.15 2 / , * 3.14156 * 2 * 3 d p 1 d m | m
|
m Actually the target is much bigger because the tip
m of the m Penne Rigate m is pointy. m It is better to use the inner diameter less the m m Penne Rigate m tip, which is roughly 0.3 cm (Figure 4). m m So compute: m (2 * π * (inner diameter - tip)2), m cm2: m |
m# delete previous calculation: x 1.3 0.3 _ 2 / , * 3.14156 * 2 * 3 d p 1 d # delete this calculation: #x m | m
|
m Probability of one insertion during a random encounter m is the target area divided by the Rigatoni total surface: m |
m~ / n p n m m | m
| m Fraction of observed insertions (Figure 2): m | m0.6 p m | m
| m Number of available Rigatoni: m | m40 0 d p m | m
| m Estimated total number of insertions (40 * 0.6): m | m* p m | m
| m Probability of all these insertions by random encounter: m | mn # s ^ p m m | m
|
m *This calculation was performed according to standard
m Intelligent Design (IDiotic) methods.
m m It was performed using the m calc program with input m idiotic.calc. m |
m|