Catenoid soap bubbles
11-07-2021, 04:27 PM
Post: #3
 Albert Chan Senior Member Posts: 2,142 Joined: Jul 2018
RE: Catenoid soap bubbles
I don't understand the complexity.

Let R = D/2 = 1.068/2 = 0.534 m
Let H = L/2 = 0.5/2 = 0.25 m

First, with symmetry, b = 0.25 m (not need to solve at all)
Shift axis so that x=0 has radius of r (= Matt's a), x=H have radius of R

(y/r) = cosh(x/r)

At x=0, we have y = r
At x=H, we have y = R, (R/r) = cosh(H/r)

Casio FX-115MS, solve for r:

0.534 - X*cosh(0.25/X) [SOLVE] (guess r = R = 0.534) ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ → r = 0.465190824
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 Messages In This Thread Catenoid soap bubbles - ijabbott - 11-06-2021, 07:51 PM RE: Catenoid soap bubbles - C.Ret - 11-07-2021, 12:11 PM RE: Catenoid soap bubbles - Albert Chan - 11-07-2021 04:27 PM RE: Catenoid soap bubbles - ijabbott - 11-07-2021, 08:08 PM RE: Catenoid soap bubbles - Albert Chan - 11-08-2021, 01:56 PM RE: Catenoid soap bubbles - Wes Loewer - 11-07-2021, 05:44 PM RE: Catenoid soap bubbles - ijabbott - 11-07-2021, 07:56 PM RE: Catenoid soap bubbles - ijabbott - 11-08-2021, 04:28 PM RE: Catenoid soap bubbles - Albert Chan - 11-08-2021, 06:03 PM RE: Catenoid soap bubbles - Joe Horn - 11-09-2021, 02:57 AM RE: Catenoid soap bubbles - ijabbott - 11-09-2021, 08:29 AM

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