• Post Reply Bookmark Topic Watch Topic
  • New Topic
programming forums Java Mobile Certification Databases Caching Books Engineering Micro Controllers OS Languages Paradigms IDEs Build Tools Frameworks Application Servers Open Source This Site Careers Other Pie Elite all forums
this forum made possible by our volunteer staff, including ...
Marshals:
  • Campbell Ritchie
  • Jeanne Boyarsky
  • Ron McLeod
  • Paul Clapham
  • Liutauras Vilda
Sheriffs:
  • paul wheaton
  • Rob Spoor
  • Devaka Cooray
Saloon Keepers:
  • Stephan van Hulst
  • Tim Holloway
  • Carey Brown
  • Frits Walraven
  • Tim Moores
Bartenders:
  • Mikalai Zaikin

Clock problem

 
Ranch Hand
Posts: 8945
Firefox Browser Spring Java
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
Find formula to compute angle between hour hand and minute hand.
 
lowercase baba
Posts: 13091
67
Chrome Java Linux
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
it's trivial to figure out each hands postion, given the time. you can calculate the angle around from 12:00:00.
if you know each hands postion, the angle between them is the difference.
 
Pradeep bhatt
Ranch Hand
Posts: 8945
Firefox Browser Spring Java
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
but how?
 
Wanderer
Posts: 18671
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
More info available here.
 
Ranch Hand
Posts: 1907
1
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator

Originally posted by Pradeep Bhat:
but how?


Input is some time ,like 5:37.How much is angular movement of hour hand from position 12? 30*5 = 150 degrees + 15 degrees(bcos of those first 30 minutes) = 165 degrees.
Now hour hand moves by 30 degrees when minutes hand moves by 360 degrees,right? so for 1 minute,30/360-->(1/12) degrees,correct?So for 7 minutes 7/12 degrees.So total angular movement of hour hand is 165+(7/12) degrees.
Now angular movement of minute hand is 180+30+12 = 222 degrees.
I hope now you can make a formula out of it.
Has anybody has used Theodolite for calculating the angle and the distance between the two objects on a surface?
[ November 25, 2003: Message edited by: Capablanca Kepler ]
 
Greenhorn
Posts: 2
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator

Originally posted by Pradeep Bhat:
Find formula to compute angle between hour hand and minute hand.



angle = 30H - 5.5M
Example, at 2:35, angle = 30*2 - 5.5*35 = 60 - 192.5 = 132.5 degrees (ignore the sign)
[ January 17, 2005: Message edited by: Pravin Mhaske ]
 
Ranch Hand
Posts: 67
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
I think that what has been posted so far is too complicated. All that is needed is to know that 1 minute should be 6 degrees (360 degrees in 60 minutes, so that follows). So when you have the minutes, to compute the degrees, you simply do:

Hours can be either much easier or a little harder. First the easy way:
Since you know there are 12 hours in 360 degrees, the difference between hours is simple 360/12 = 30 degrees. So the code is:

However, if you wanted to be like a real clock, where the hour hand slowly moves continuously over the hour, then you would have to take into account the amount of minutes that have passed. To do this, I would simply find the decimal between the hours (i.e. 6:30 would be 6.5) and then find the degrees. The code then would be something like:

Now that we have the two degree values, we can subtract their values. This can be done like:
 
Ranch Hand
Posts: 3061
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
If minutes is an int, then

will not give the correct result as described above. This line of code should be changed to

in order to avoid integer division.

Layne
 
Pravin Mhaske
Greenhorn
Posts: 2
  • Mark post as helpful
  • send pies
    Number of slices to send:
    Optional 'thank-you' note:
  • Quote
  • Report post to moderator
Hi P. Sangdeo, Why do you think your answer is not complicated? I don't understand 'C' or whatever the language is Would you pls give a simple mathematical formula? Also, can you please prove that the formula you've posted gives correct answer with an example? You may please refer to the above post of mine for the example.
 
Consider Paul's rocket mass heater.
reply
    Bookmark Topic Watch Topic
  • New Topic