All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
On the clock (Posted on 2007-03-23) Difficulty: 3 of 5
How many times per day, and at what time(s) do the hour and minute hands on a clock form EXACTLY a 60 degree angle?

See The Solution Submitted by Sing4TheDay    
Rating: 3.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): ... and at what times | Comment 4 of 7 |
(In reply to re: ... and at what times by Ady TZIDON)

Indeed, the hands would have to do quantum tunneling in order to avoid going through all intervening angles as they progress from just under 60 degrees to just over 60 degrees or vice versa on each relative revolotion of one hand with regard to the other.

Even on a clock that makes definite jumps every second, each hand must take a finite time to move from one position to the next, and in this finite time period at some instant the angle must be 60 degrees, at near the appropriately calculated time.

  Posted by Charlie on 2007-04-01 21:16:05

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information