News and Views From my kids accomplishments, to my heretical perspective of the world

December 29, 2017

Rest in Peace, Apollo

Filed under: Uncategorized — Daryl @ 4:03 pm

Apollo peacefully left us this morning. After 11 years of joy and companionship he passed away in the veterinary’s office.

He was lucky to be adopted into our family, and especially to have Derek as his “father”. Derek took as good care of him as anyone could have, spending more than a little time and money to keep him as healthy and happy as possible. He had a good life.

It was also an eventful life, with more than a couple of problems, including epilepsy, pancreatitis (which almost killed him 5 years ago), valley fever, and finally in the last year cancer. The cancer was detected as several growing areas in his lungs, but the vet said it looked like it had come from somewhere else. Despite all these problems, he was always friendly and cheerful, never known to bite (except a few nips when he was a puppy!).

He came to our house this last Christmas morning, the last time he was here, and actually ran a few steps in the back yard playing with Derek. But the past couple of days he wasn’t able to eat, stand up or even hold down water. Everyone agreed that it was time to end his suffering.

Here are a few pictures of his life.

Apollo baby
Not quite ready to leave his mother, this was a couple of weeks before we brought him home.

Apollo First Night
His first night at our house. He cried much of the night, but ended up in bed with Derek.

11 and a half weeks
About 12 weeks old. I left this picture off the original post, but had to include it once I saw it.

Apollo
Growing, but still not full size.

Apollo Bike
In his prime he could pull the bicycle along, just like a sled dog.

In the wagon
Derek took him for a “walk” last night near his house, and then this morning around the lake near our house where he used to walk. He could no longer stand on his own.

Goodbye, Apollo. We will miss you.

December 18, 2017

Long Rumbles

Filed under: Uncategorized — Daryl @ 5:15 pm

I was lying in bed a couple of nights ago when a thunderstorm came through. I heard the far-off rumbles of thunder, lasting a few seconds each, until one lightning bolt struck within a few hundred feet with a huge boom! The loud rumble went on and on, at least 10 seconds before it quickly faded away.

It started me wondering, there in the pre-dawn hours, why the rumble lasted so long for that strike. It wasn’t an echo; there was nothing nearby to echo from. It wasn’t that it just seemed to fade more slowly just because it started louder — the end of the rumble was still quite loud and I’m sure if I had been further away I would have still heard it. And it died off pretty quickly; it wasn’t just a fade away. Why 10 seconds or more, when more distant thunder lasts just a few seconds?

And then I had the following thoughts, illustrated below. A lightning strike is almost instantaneous, super-heating the air near the cloud and near the ground at almost the same instant. This super heating is what causes thunder as the expanded air sends out a tidal wave of sound. At the ground, I heard the sound emitted from the bottom of the strike within a second or less, as I was quite close. But the top was maybe a couple of miles up, at 10,000 feet or more. Sound travels around 1000 feet/second, so in the first second sound from the bottom 1000 feet arrived, during the second second sound arrived from the second 1000 feet, etc., so that finally it took 10 seconds for the sound from the top to reach me. All during this time I was hearing a continual rumbling as sound from an ever higher portion of the strike reached my location.

Thunder Rumble

Now what would someone have heard who was about 2 miles away from me? The bottom of the strike would be 2 miles away, so it would take about 10 seconds for the first sound to reach him. By the Pythagorean theorem, the top would be about 2.8 miles away, so that would take about 14 seconds to reach. For this observer, the thunder would only have lasted about 4 seconds. For someone further away, the duration would be even less (4 miles away would be about 2.5 seconds, for example).

So I think that explains why the rumble from thunder lasts much longer when the strike is close.

It reminds me a little of the theory of relativity, where simultaneity and duration are different for differently moving frames of reference. In this case, the event is interpreted as having different duration for different observers. Of course the underlying theories are quite different, but it still strikes me as an interesting parallel.

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