Clocks...

royalchicken
Posers and Puzzles 21 Apr '03 02:08
1. royalchicken
CHAOS GHOST!!!
21 Apr '03 02:08
A clock stops in such a way that all three hands are equidistant from each other. It stopped between midnight and 4 am. Some evil person soldered the hands in their relative position, and then spun them around so the proper time is not shown. At what time did they stop?
2. 21 Apr '03 05:10
Twenty seconds before 4 am
3. 21 Apr '03 07:54
Originally posted by MartinS
Twenty seconds before 4 am
4. royalchicken
CHAOS GHOST!!!
21 Apr '03 21:00
Originally posted by King AYG
Yes...a wrong genius ðŸ˜•
5. Phlabibit
Mystic Meg
24 Apr '03 00:21
Is the second hand a clicker, and the minute hand? Or is it free flowing like a Rolex. This info will help my calculations.
ðŸ˜‰
6. royalchicken
CHAOS GHOST!!!
24 Apr '03 00:341 edit
Originally posted by Phlabibit
Is the second hand a clicker, and the minute hand? Or is it free flowing like a Rolex. This info will help my calculations.
ðŸ˜‰
Doesn't really matter....so it's a clicker. I can't afford a Rolex.

If you can do this with CAD, I will be extremely impressed and shocked.
7. richjohnson
TANSTAAFL
24 Apr '03 19:54
Originally posted by royalchicken
Doesn't really matter....so it's a clicker. I can't afford a Rolex.

If you can do this with CAD, I will be extremely impressed and shocked.
Is the hour hand a clicker too? (i.e. only stops at the minute markers?)
8. royalchicken
CHAOS GHOST!!!
24 Apr '03 20:10
Originally posted by richjohnson
Is the hour hand a clicker too? (i.e. only stops at the minute markers?)
Strictly speaking, a clicker is not possible to make. Motion in our world is continuous. This point is not important anyway, in the sense that it can be solved without knowing this.
9. richjohnson
TANSTAAFL
24 Apr '03 21:02
Originally posted by royalchicken
Strictly speaking, a clicker is not possible to make. Motion in our world is continuous. This point is not important anyway, in the sense that it can be solved without knowing this.
a 'clicker' is a hand which has 60 points around the clock where it stops, and moves quickly between those points. Unless the answer is 12:00:00, we need to know the rules of motion for each of the hands.

If all three hands are clickers, the answer is 2:32:52
10. royalchicken
CHAOS GHOST!!!
24 Apr '03 21:46
Originally posted by richjohnson
a 'clicker' is a hand which has 60 points around the clock where it stops, and moves quickly between those points. Unless the answer is 12:00:00, we need to know the rules of motion for each of the hands.

If all three hands are clickers, the answer is 2:32:52
Erm...you are looking for a time between 12 and 4 am when the angle between the second hand and minute hand, minute and hour hand, and hour and second hand are all 120 degrees. How did you arrive at 2:32:52?
11. richjohnson
TANSTAAFL
24 Apr '03 22:38
Originally posted by royalchicken
Erm...you are looking for a time between 12 and 4 am when the angle between the second hand and minute hand, minute and hour hand, and hour and second hand are all 120 degrees. How did you arrive at 2:32:52?
The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).
12. richjohnson
TANSTAAFL
24 Apr '03 22:45
Originally posted by richjohnson
The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).
Another answer would be 21 seconds before 4 am (for a clicker).
13. royalchicken
CHAOS GHOST!!!
25 Apr '03 02:04
Originally posted by richjohnson
The hour hand is at 72 degrees (3 clicks past the 2), the minute hand is at 192 degrees (2 clicks past the 6), and the second hand is at 312 degrees (8 clicks before the 12).

(0 degress = 12 o'clock)

In a clicker the hands move in 6 degree increments, so the hour hand moves only 5 times per hour (at 00, 12, 24, 36, 48).
Also, hour hand where you said, and switch minutes/seconds: 2:54:32.72 approximately.
14. Phlabibit
Mystic Meg
25 Apr '03 02:552 edits
I don't think it happens on a clicking clock.... here is what I have so far.

Time
Hour Hand in degrees.
Minute Hand in degrees.
Second Hand in degrees.

12:22:42 - doh
H 11.81
M 132
S 252

12:42:27
H 21.2249
M 252
S 162

1:26:46
H 13.25
M 156
S 276

1:27:47
H 13.5
M 162
S 282

1:48:28
H 54.5
M 288
S 168

2:32:52
H 76.25
M 192
S 312

2:33:53
H 114.54
M 198
S 318

2:54:32
H 33.33
M 324
S 192

2:54:34
H 33.3
M 324
S 204

3:38:58
H 137.36
M 228
S 348

Based on these calculations.

360 degs = 12 hours=60 minutes=60 seconds.
**120 degs traveled

Second Hand
360min
6 degs per second.
30 per 5 secs
**20secs
6*s=degs

Minute Hand,
30 degs per 5 mins.
6 per min
.1 per sec
**20mins
6*m=degs

Hour Hand
30 degs an hour
.5 degs an minute,
.00833 second
30h+(30*60/m)=degs
**4hr

I got to start over
ðŸ™„ðŸ˜µ
15. Phlabibit
Mystic Meg
25 Apr '03 11:301 edit
Amazing what 7 or so hours of sleep will do.

30h+(30*m/60)=degs

NOT

30h+(30*60/m)=degs

I'll fix my times, but I need to get to the office.
ðŸ˜³