A View from the Back of the Envelope top

Time
s (second)
Scale of some things
Landmarks
A dot for every second in the day
A dot for each day
[ Scale | Landmarks | Other ]

This page is a mess.
Newer stuff towards bottom.
A dot for every second in the day (includes a clock).

Some suggestions

How long
age of visible universe 1018 s
year 30 megaseconds 3 × 107, -5%, ±<1%
hour 3600 s exact
nanosecond (ns) a light-foot [...]

Analysis

Age of visible universe

Year
107 × 3.156 ±<<1%[Vade, p9]
107 × pi
Ten Pi MegaSeconds
-<1%, ±<1%
107 × 3
30 MegaSeconds
-5%, ±<1%
105 × 365+6%, ±<1%~105 s/day * 365 day/year
107-68%, ±<1%

Ms (megasecond)
106 × 1.00exact
106 × 0.864 10 days-14%, ±1%10 × (0.864 × 105)
106 × 0.950 11 days
10% up from 10 days
-5%, ±<1%
106 × 0.990 11 days, 11 hrs-1%, ±<1%275 hr
106 × 0.994 11.5 days+<1%276 hr
106 × 1.00 278 hours±<<1%
106 × 1.04 12 days+4%, ±<1%Landmark: "The Megasecond of Christmas" song... ?
106 × 1.08 300 hours+8%, ±<1%300 × 3600
106 × 1.21 two weeks+20%, ±1%2 × 7 × (0.864 × 105)

Hour
103 × 3.600±<1%mumble (exact) and sidereal
103 × 3 three ee three +16%, ±1%

What is...
1 s -- 1/60 min(exact)
10-5 day(-14%, ±<1%)
1 sexact
1/60 minexact
10-5 day-14%, ±<1%0.864
2% of a minute+20%, exact1.2 s
10-2 min
one hundredth minute
-40%, exact0.6 s
10 s -- 1/6 min(exact)
10-4 day(-14%, ±<1%)
10 sexact
1/6 minexact
10-4 day-14%, ±<1%0.864
102 s -- 1.5 minutes(-10%, exact)
thousandth day(-14%, ±<1%)
1 2/3 minutes(exact)
100 sexact
1 2/3 minexact
3% of an hour+8%, exact108 s
1.5 min
1/40 hr
-10%, exact90 s
10-3 day-14%, ±<1% 86.4 s
2 min+20%, exact120 s
1 min-40%, exact60 s
10-4 week-40%, ±<1%60.48 s
103 s -- 15 min(-10%, exact)
hundredth day(-14%, ±<1%)
1000 sexact
17 min+2%, exact1020 s
16 min-4%, ±<1%0960 s
15 min
1/4 hr
-10%, exact900 s
10-2 day
hundredth day
-14%, ±<1%864 s
20 min
1/3 hr
+20%, exact1200 s
104 s -- 3 hr(+8%, exact)
tenth day(-14%, ±<1%)
2 3/4 hr(-1%, ±<1%)
10 000 sexact
2 3/4 hr-1%, ±<1%09 900 s
3 hr+8%, exact10 800 s
150 min-10%, ±<1%09 000 s
10-1 day
a tenth day
-14%, ±<1%08 640 s
105 s -- one day(-14%, ±<1%)
28 hr(<1%, ±<1%)
100 000 sexact
28 hr<1%, ±<1%100 800 s
1666 min<1%, ±<1%099 960 s
30 hr+8%, exact108 000 s
1500 min-10%, exact090 000 s
1 day-14%, ±<1%086 400 s

s
1001 sec10-5 day
10110 sec10-4 day
1021.5 min10-3 day
10315. min10-2 day
10410-1 day
105one day
106

15 min -- hundredth day (+4%, ±<1%)
-- 900 s(exact, which is -10% down from 103 s)
(A hundredth-day is actually 14.4 min. A 15 minute hundredth-day gives a 25 hour day (exact).
The +4% error is thus 1/24. 100 vs 100+ the 4 15min's in the extra hour.)
15 min links nicely with day, seconds, and minutes.
15 min is a large hundredth-day (25 hr), and a small kilo-second (900 s).
From 15 min: 103 s ~= 15 min. 1.5 min. 150 min. Hours.
Megasecond-day error derivation (14% from 10% down plus 4% up)

MegaSecond = 12 days. But year = 365 days is 12 * 30 (months!). So 30 Ms.

"The One MegaSecond of Christmas" song:
MegaSecond is 12 days (closer, 11 days + 14 hours). So...
"On the first day of Christmas, my true love gave to me...
On the twelfth day of Christmas, Err, On the first MegaSecond of Christmas, my true love gave to me, twelve swans a' swimming, ..."

Hmm... "on the first twelfth mega-second of Christmas"...?

Ms is a large ten-day, or a slightly shaved twelve-day (dozen-day?).
From Ms: 104 is tenth day. 10, 100, 1000... days. Week, month, year, century.

If a year is 30 MegaSeconds, then a thousand years is 30 GigaSeconds, a MY is 30 TeraSeconds, a billionus years is 30 PetaSeconds, and the universe, at something like 15 BY, is something more than 300 PetaSeconds, and around 0.4 ExaSeconds.

A nice framework can be hung on `15 minutes' and MegaSecond-tenday (-twelveday).
15 min is a large hundredth-day (25 hr day), and a small kilo-second (900 s).
So a MegaSecond is about 10 days. Better, 12 days, as in "The One MegaSecond of Christmas" song.
12 * 30 is 365 (as in months), so a year is about 30 MegaSeconds.
Or slightly closer at 10 pi MegaSeconds, if you care.
A decade is thus 300 MegaSeconds, and a century 3 GigaSeconds.
If a year is 30 MegaSeconds, then a thousand years is 30 GigaSeconds,
a MY is 30 TeraSeconds, a billionus years is 30 PetaSeconds,
and the universe, at something more than 10 BY, is something more than 300 PetaSeconds,
and around half an ExaSecond.

A View from the Back of the Envelope
Comments encouraged. - Mitchell N Charity <mcharity@lcs.mit.edu>

Doables:
  Gosh this page is a mess.
  Extend "What is 10^x s", folding in Ms.
  Day is 100 * 10^3 s + 10^3 s (- ~5 min).  [Huh?]
  Comment on how well `age of universe' works.  On light-delay page too.
History:
  2001-Apr-14  Added link to `A dot for every second in the day'.
  1998.Jul.20  Fiddled.  Added 15 min, "MegaSecond of Christmas" song.
  1998.Apr.19  Added "what is 10^{0,1,2,3,4} s" landmarks.
  Long ago     Created.