A little help with a math problem....

Taygoo · 06-29-09, 12:38 PM

Hallo can any of you do some math...:-)

I have a problem I just can not solve,

1) I need to find a and b in the formula

2) find the direction and radius then Peter has "worked" 3 km arc line

Peter must treasure hunt in the woods and have been told that he can find the treasure to closely follow the path of a logarithmic Spira, at a given starting point. If he walk 3 km, on the arc line. He will find the treasure.

Peter knows a logarithmic spiral is as follows:

Startpunkt=STARTPOINT

He has also been told that when he has revolved around 180 degrees (marked with A in the figure), he is 86.23 meters from where he started, and after 360 degrees (marked with B in the figure), he is 75.41 meters where he started.

Fortunately, Peter also knows the formula for a logarithmic spiral:

, and he assumes that the starting point corresponds to Theta = zero.

With this knowledge puts Peter down first and count (long) on the figures. Then he prepared for the trip, and he does not actually become dizzy by.

Taygoo - Have tried to solve this in days now...:-)

AVGWarhawk · 06-29-09, 12:41 PM

Peter needs a new hobby.

Taygoo · 06-29-09, 12:43 PM

yes he does...:-)

Task Force · 06-29-09, 12:45 PM

That... math... problem... confuses the h*** out of me.

you think he will be happy with 1+1=2. lol

antikristuseke · 06-29-09, 12:47 PM

I am way too drunk to start with math problems right now.

Raptor1 · 06-29-09, 12:47 PM

This isn't a math question! It's a conspiracy!

Why is Peter being forced to "treasure hunt"? Who is forcing him? Why does he believe that he will find treasure if he goes in such a way?

Peter is clearly being manipulated by a shadowy group with evil intentions, I say, and it's same group of shadow-dwellers that want us to focus our concentration on him rather than to see the truth!

Rise up! Rise up against the evil conspiracy!

AVGWarhawk · 06-29-09, 01:04 PM

Quote:

Originally Posted by Raptor1

This isn't a math question! It's a conspiracy!

Why is Peter being forced to "treasure hunt"? Who is forcing him? Why does he believe that he will find treasure if he goes in such a way?

Peter is clearly being manipulated by a shadowy group with evil intentions, I say, and it's same group of shadow-dwellers that want us to focus our concentration on him rather than to see the truth!

Rise up! Rise up against the evil conspiracy!

I would go with this answer

Also, 1+1=3

Letum · 06-29-09, 01:47 PM

Ack.
It's calculus...rectification/integration.
I'll give it a bash, but I am also new to think kind of thing. If I don't reply
soonish assume that it has induced brain paralysis in me...

Taygoo · 06-29-09, 01:58 PM

Quote:

It's a conspiracy

No just a question I need to solve, so I can get the to real treasure :-)

Quote:

I'll give it a bash

Thx.. I have tried 5 hours to day.. my head is

Good luck Letum

Letum · 06-29-09, 02:21 PM

Have you got the spiral's function yet?

VipertheSniper · 06-29-09, 02:28 PM

umm maybe there was something lost in translation, I have a few troubles understanding which distance has to be 3 km? Is that walking 3km on the spiral, or 3km in straight line from the startpoint when he walks on the spiral?

Edit: the second option doesn't make much sense now does it? I mean apart from the first 180° there are surely always 2 points on the spiral that are in equidistance to the starting point.

Letum · 06-29-09, 02:30 PM

It's the arc length from the startpoint.

VipertheSniper · 06-29-09, 02:37 PM

That would mean 2 points to search or not? atleast when I look at that figure I'm inclined to think so.

Taygoo · 06-29-09, 02:55 PM

VipertheSniper I did some edit in the main text.

If Peter work on the arc line, 3 km he will be there.

Letum · 06-29-09, 03:01 PM

Just thinking out loud.....

When r=86.23

86.23=a*Exp^180b

When r=75.41

75.41=a*Exp^360b

Can they be worked out as simultaneous?

b must be less than 0.2 and more than 0.1

06-29-09, 12:38 PM	#1
Taygoo Seaman Join Date: Mar 2009 Location: Denmark - Posts: 34 Downloads: 0 Uploads: 0	A little help with a math problem.... Hallo can any of you do some math...:-) I have a problem I just can not solve, 1) I need to find a and b in the formula 2) find the direction and radius then Peter has "worked" 3 km arc line Peter must treasure hunt in the woods and have been told that he can find the treasure to closely follow the path of a logarithmic Spira, at a given starting point. If he walk 3 km, on the arc line. He will find the treasure. Peter knows a logarithmic spiral is as follows: Startpunkt=STARTPOINT He has also been told that when he has revolved around 180 degrees (marked with A in the figure), he is 86.23 meters from where he started, and after 360 degrees (marked with B in the figure), he is 75.41 meters where he started. Fortunately, Peter also knows the formula for a logarithmic spiral: , and he assumes that the starting point corresponds to Theta = zero. With this knowledge puts Peter down first and count (long) on the figures. Then he prepared for the trip, and he does not actually become dizzy by. Taygoo - Have tried to solve this in days now...:-) __________________ Last edited by Taygoo; 06-29-09 at 02:45 PM.

06-29-09, 12:41 PM	#2
AVGWarhawk Lucky Jack Join Date: Jun 2005 Location: In a 1954 Buick. Posts: 28,253 Downloads: 90 Uploads: 0	Peter needs a new hobby. __________________ “You're painfully alive in a drugged and dying culture.” ― Richard Yates, Revolutionary Road

06-29-09, 12:43 PM	#3
Taygoo Seaman Join Date: Mar 2009 Location: Denmark - Posts: 34 Downloads: 0 Uploads: 0	yes he does...:-) __________________

06-29-09, 12:45 PM	#4
Task Force Rear Admiral Join Date: Jul 2008 Location: SPACE!!!! Posts: 10,142 Downloads: 85 Uploads: 0	That... math... problem... confuses the h*** out of me. you think he will be happy with 1+1=2. lol __________________ Task Force industries "Taking control of the world, one mind at a time"

06-29-09, 12:47 PM	#6
Raptor1 Navy Seal Join Date: Jul 2007 Location: Stavka Posts: 8,211 Downloads: 13 Uploads: 0	This isn't a math question! It's a conspiracy! Why is Peter being forced to "treasure hunt"? Who is forcing him? Why does he believe that he will find treasure if he goes in such a way? Peter is clearly being manipulated by a shadowy group with evil intentions, I say, and it's same group of shadow-dwellers that want us to focus our concentration on him rather than to see the truth! Rise up! Rise up against the evil conspiracy! __________________ Current Eastern Front status: Probable Victory

06-29-09, 12:47 PM	#5
antikristuseke Silent Hunter Join Date: Jun 2007 Location: Estland Posts: 4,330 Downloads: 3 Uploads: 0	I am way too drunk to start with math problems right now.

06-29-09, 01:47 PM	#8
Letum Navy Seal Join Date: Feb 2005 Location: York - UK Posts: 6,079 Downloads: 43 Uploads: 0	Ack. It's calculus...rectification/integration. I'll give it a bash, but I am also new to think kind of thing. If I don't reply soonish assume that it has induced brain paralysis in me... __________________

06-29-09, 02:21 PM	#10
Letum Navy Seal Join Date: Feb 2005 Location: York - UK Posts: 6,079 Downloads: 43 Uploads: 0	Have you got the spiral's function yet? __________________

06-29-09, 02:28 PM	#11
VipertheSniper Ace of the Deep Join Date: Sep 2002 Location: Austria Posts: 1,070 Downloads: 0 Uploads: 0	umm maybe there was something lost in translation, I have a few troubles understanding which distance has to be 3 km? Is that walking 3km on the spiral, or 3km in straight line from the startpoint when he walks on the spiral? Edit: the second option doesn't make much sense now does it? I mean apart from the first 180° there are surely always 2 points on the spiral that are in equidistance to the starting point.

06-29-09, 02:30 PM	#12
Letum Navy Seal Join Date: Feb 2005 Location: York - UK Posts: 6,079 Downloads: 43 Uploads: 0	It's the arc length from the startpoint. __________________

06-29-09, 02:37 PM	#13
VipertheSniper Ace of the Deep Join Date: Sep 2002 Location: Austria Posts: 1,070 Downloads: 0 Uploads: 0	That would mean 2 points to search or not? atleast when I look at that figure I'm inclined to think so.

06-29-09, 02:55 PM	#14
Taygoo Seaman Join Date: Mar 2009 Location: Denmark - Posts: 34 Downloads: 0 Uploads: 0	VipertheSniper I did some edit in the main text. If Peter work on the arc line, 3 km he will be there. __________________

06-29-09, 03:01 PM	#15
Letum Navy Seal Join Date: Feb 2005 Location: York - UK Posts: 6,079 Downloads: 43 Uploads: 0	Just thinking out loud..... When r=86.23 86.23=aExp^180b When r=75.41 75.41=aExp^360b Can they be worked out as simultaneous? b must be less than 0.2 and more than 0.1 __________________