[Phys-L] Horological scaling Was: Re: widget rate puzzle ... reasoning, scaling, et cetera

[Bernard Cleyet <bernard@cleyet.org>]

While we’re about scaling, I pray, this is of interest:

"The simulation uncovered interesting relationships among amplitude and velocity in the presence of changing L and g. In particular, we see that when gravity or length changes, amplitude and velocity do not follow each other.

Here is a summary of the results:

If Δg/g = 1, then ΔT/T = –½, ΔE/E = +½, Δv/v = +¼, Δh/h = –½, Δa/a = –¼.
If ΔL/L = 1, then ΔT/T = +½, ΔE/E = –½, Δv/v = –¼, Δh/h = –½, Δa/a = –¾  "

Horological Science Newsletter  2014-5  "Pendulum Simulation 2: Changing Length or Gravity by Tom Van Baak

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bc 


On 2014, Dec 31, , at 16:40, John Denker <jsd@av8n.com> wrote:

> On 12/31/2014 01:40 PM, Philip Keller wrote:
>
> [scaling arguments]
>
> > Should I be embarrassed to admit that this was the first method I
> > used to get the answer?
>
> No!
>
> I am reminded of the perl motto: 
> 	TIMTOWTDI.
> 	There Is More Than One Way To Do It.
>
> If this group collectively could come up with only one
> way of doing it, /that/ would have been embarrassing.