# Bryan Lawrence

## ... personal wiki, blog and notes

## The Back of the Envelope and the Removal of Guilt

Some of the most important things one learns in a physics degree are:

Dimensional Analysis (have I stuffed up anything obvious?)

Scale Analysis (what terms in this equation actually matter for this problem?), and

Start with an Envelope (know what your answer is roughly, before further calculation).

The last is pretty fundamental. I used to teach a course called "Nursing Mathematics" at my local polytechnic, for, you'll not be surprised to know, nurses. The entire point of the course was to give nurses the mental arithmetic tools (supplemented on occasion by an envelope and a pen) to know what the answers to most of their day-to-day calculations are, before using a calculator to get things right. You may or may not be surprised to know how important this is, folk have died because of incorrect factors of ten in IV flow rates ... Scale problems happen often with calculators, but less often when individuals have a grip on the scale of answers before attempting the "real" calculation (either from experience, or explicit "pre-calculation").

Which is a long winded way of introducing a post which both validates my original decision to buy an electric lawn mower instead of a petrol mower, and removes my guilt over not buying a push-mower.

I spend a lot of time thinking about this sort of issue, but never get down to writing it out. Well done "King of the Road". My current suspicion is that it would be a good thing to get an electric garden shredder, rather than pile the stuff on a regular basis in a car and drive to the dump ... one day, I will do that calculation ...

Meanwhile, along David MacKay's fabulous book, I feel I now have two "back to basics" places to go to find some numbers about practical ways of dealing with our energy futures.

**Categories**: environment

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To shred or not to shred? (from "Bryan's Blog" on Sunday 18 April, 2010)

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DISCLAIMER: This is a personal blog. Nothing written here reflects an official opinion of my employer or any funding agency.

Chris Rusbridge on Wednesday 16 December, 2009:

In fact, looking at the small car case in the earlier article, he uses 1/33*6= 0.182 (US) gallons of fuel and claims that as 28.9 megajoules. But in the mower case he uses 0.186 gallons and claims that as 2800 megajoules. So I suspect that KoR has made a simple transcription error and that is the source of this huge discrepancy!