Welcome Guest! To enable all features please Login. New Registrations are disabled.

Notification

Icon
Error

Login


Options
Go to last post Go to first unread
Offline sspawar  
#1 Posted : 14 June 2009 19:58:49(UTC)
sspawar

Rank: Newbie

Groups: Registered
Joined: 14/06/2009(UTC)
Posts: 2
Location: India

subjected Equation is detailed as under:
In a Circle if S is arc length, L is chord length and R is Radius and 'Theta' is angle of arc subtented at centre of circle in radians.

then by geometry S = 'R'.'Theta', where Theta in radians and R is Radius.
or Theta/2 = S/2R -----Eq 1

and also in triangle made by R , L/2 and base from centre to one end of L/2
Sin (Theta/2) = L/2R ----Eq 2

thus from Eq 1 and 2
Sin (S/2R) = L/2R

if an Arc length 'S' is given = 2618.
its chord length 'L' is also given = 2280.
then equation will be Sin (1309X) = 1140X, Where X =1/R

Edited by user 14 June 2009 20:02:47(UTC)  | Reason: Not specified

Wanna join the discussion?! Login to your SMath Studio Forum forum account. New Registrations are disabled.

Offline omorr  
#2 Posted : 25 June 2009 23:53:00(UTC)
omorr


Rank: Administration

Groups: Registered, Advanced Member
Joined: 23/06/2009(UTC)
Posts: 1,740
Man
Serbia

Was thanked: 318 time(s) in 268 post(s)
The result iz zero (see the example of finding roots).
Try, for instance, function solve and solve the equation sin(1.309*x)-1.140*x (there should be three values)

By the way, if we try to plot the function sin(1309*x)-1140*x and zoom in, we are going to see very small numbers with the 15 significant digits on the axis ticks, say x.xxxxxxxxxxxxxxE-xx. This is rather hard to read especially on the x axis. I suppose that there should be used the same number of decimal places as defined under Tools=>Options=>Decimal places, or something else?

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
Offline sspawar  
#3 Posted : 26 June 2009 08:10:16(UTC)
sspawar

Rank: Newbie

Groups: Registered
Joined: 14/06/2009(UTC)
Posts: 2
Location: India

omorr wrote:
The result iz zero (see the example of finding roots).
Try, for instance, function solve and solve the equation sin(1.309*x)-1.140*x (there should be three values)

By the way, if we try to plot the function sin(1309*x)-1140*x and zoom in, we are going to see very small numbers with the 15 significant digits on the axis ticks, say x.xxxxxxxxxxxxxxE-xx. This is rather hard to read especially on the x axis. I suppose that there should be used the same number of decimal places as defined under Tools=>Options=>Decimal places, or something else?

Regards,
Radovan

Dear Frnds
Actually in excel, values can easily be brought out by using Goal seek option. I am pasting here the same:

Radius Excel Formula and value

C9 - value = cos(1309/C9)-((C9-525)/C9)
1534.578119 -0.000162479

Here I put a additional formula:
sin(1309/R) - L/2R =0.

Radius C7 value Excel Formulae and value
=SIN(1309/C7)-(1140/C7)
1455.558167 -0.000306041

Next: Solution of sin(X ) or cos(X ) or other trigonometric functions could only be solved in form of expansion of series. So in place of sinaX or cosaX , that series can be replaced up to the required terms wrt the required decimal. But again it is a tedious due to multi power series
Sin(X) = X – (X^3)/3! + (X^5)/5! – (X^7)/7! + ---- -------- -------
Cos (X) = 1 – (X^2)/2! + (X^4)/4! – (X^6)/6! + ----- ----- ----
Offline LordMike  
#4 Posted : 24 October 2009 04:04:57(UTC)
LordMike


Rank: Advanced Member

Groups: Registered
Joined: 24/10/2009(UTC)
Posts: 52
Man
Location: Denmark

My TI 89 Titanium says 0 :P

If anyone cares... Wink
Offline Greg Locock  
#5 Posted : 24 October 2009 09:10:37(UTC)
Greg Locock


Rank: Advanced Member

Groups: Registered
Joined: 30/08/2009(UTC)
Posts: 52
Location: Australia

We have a maths problem, not an Smath problem. 0 is a correct answer. AFAIK there is no other.
Offline huffte  
#6 Posted : 18 December 2009 08:50:38(UTC)
huffte

Rank: Newbie

Groups: Registered
Joined: 18/12/2009(UTC)
Posts: 1
Location: Tennessee, USA

I solve using OpenOffice Spreadsheet (Goal Seek)and I get R = 1457.555. Zero is not the only answer, I believe.
Offline omorr  
#7 Posted : 18 December 2009 13:34:06(UTC)
omorr


Rank: Administration

Groups: Registered, Advanced Member
Joined: 23/06/2009(UTC)
Posts: 1,740
Man
Serbia

Was thanked: 318 time(s) in 268 post(s)
Here it is, again

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
Users browsing this topic
Forum Jump  
You cannot post new topics in this forum.
You cannot reply to topics in this forum.
You cannot delete your posts in this forum.
You cannot edit your posts in this forum.
You cannot create polls in this forum.
You cannot vote in polls in this forum.