Originally posted by royalchickena '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.
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.
If all three hands are clickers, the answer is 2:32:52
Originally posted by richjohnsonErm...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?
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
Originally posted by royalchickenThe 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).
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?
(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).
Originally posted by richjohnsonAnother answer would be 21 seconds before 4 am (for a clicker).
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).
Originally posted by richjohnsonAlso, hour hand where you said, and switch minutes/seconds: 2:54:32.72 approximately.
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).
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
🙄😵