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Posers and Puzzles

Posers and Puzzles

  1. Standard member 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
    Your a genius
  4. Standard member royalchicken
    CHAOS GHOST!!!
    21 Apr '03 21:00
    Originally posted by King AYG
    Your a genius
    Yes...a wrong genius
  5. Standard member 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.
  6. Standard member royalchicken
    CHAOS GHOST!!!
    24 Apr '03 00:34 / 1 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.
    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. Donation 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. Standard member 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. Donation 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. Standard member 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. Donation 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. Donation 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. Standard member 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. Standard member Phlabibit
    Mystic Meg
    25 Apr '03 02:55 / 2 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
  15. Standard member Phlabibit
    Mystic Meg
    25 Apr '03 11:30 / 1 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.