View Single Post
  #22   Spotlight this post!  
Unread 15-12-2012, 13:51
Ether's Avatar
Ether Ether is offline
systems engineer (retired)
no team
 
Join Date: Nov 2009
Rookie Year: 1969
Location: US
Posts: 8,128
Ether has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond reputeEther has a reputation beyond repute
Re: numerical computation contest

Quote:
Originally Posted by DampRobot View Post
The equations I came up with were: (r-h)sin(l/2r)=x/2 and 2rsin(l/2r)=(x^2/4+h^2)^1/2
where r was the radius of the curve, h was the height specified in your diagram, l was the length of the curve, and x was the length of the chord.
I think you made a mistake somewhere along the way. Those equations don't look correct.

x/2 = rsin(l/2r), not (r-h)sin(l/2r)

and

2rsin(l/r) = x, not (x^2/4+h^2)^1/2