f60ac4c7-b3d8-4b86-a123-b284d4993008 3 Roman Deceano Rivas 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

S 0.00008 m 23 /^s 2^/ * :

Q 300 m 3^s / * :

v 1.20 m s / * :

Z 2.5 :

n 0.020 :

Eq v 1 n / R 23 /^* S 12 /^* ≡ Q v A * ≡ R A p / ≡ p b 2 y * 1 Z 2^+ sqrt (* + ≡ A b y * Z y 2^* + ≡ 51 sys :

var A 1 m 2^* ≡ b 1 m * ≡ p 1 m * ≡ R 1 m * ≡ y 1 m * ≡ 51 sys :

Eq var FindRoot 250 m 2^* 22.3675 m * 57.2216 m * 4.3954 m * 6.4722 m * 51 sys

A b y * Z y 2^* + : 249.4926 m 2^*

p b 2 y * 1 Z 2^+ sqrt (* + : 57.2216 m *

R A p / : 4.3601 m *

v 1 n / R 23 /^* S 12 /^* : 1.1936 m s / *

v 1.2 m s / * ≡

Goat function
courtesy Carlos x Goat 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + :

"Goat Radius" ►  Mathematica certifies 9 decimals ... Mathcad Given/Find  ►  1.15872847301812 G 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + π x 2^* - 0 ≡ x 1.15 1.2 solve : 1.15872847301812

plot x Goat π x 2^* G 8 G 4 - 22 mat 31 sys :

Goat Radius intersection Goat(x) ◄ π*x^2

plot

From rough [1,2] ... 1.1587
reguess the range  [1.15,1.2] G Goat π G 2^* - 0.00000000000001

G 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + π x 2^* - 0 ≡ x 12 solve : 1.1587