Author Topic: Mathematical conundrum (Read 1702 times)

beet1e · « **Reply #15 on:** February 07, 2005, 11:30:06 AM »

Excellent work, Tilt and JCLerch.

2 pi multiplied by the difference in radii, in this case 3cm, = 6 x pi centimetres.

Swoop said

Quote

Yeah see here's the thing: The Earth is not a perfect sphere. When you put a spin force on a globe that isnt a solid structure (ie one with some water in it's make-up) there is a certain amount of bunching around the equator. IE, the circumference of the planet is bigger if you measure it around the equator rather than pole to pole.

Quite correct, but the difference is not as much as you might think. According to the Google Calculator, 1km is equivalent to 0.539956803 nautical miles. As you know, at the equator a change of 1 minute of longitude equates to 1 nautical mile. Each degree along the equator is 60 nautical miles, therefore the circumference of the earth, along the equator is 60 x 360 = 21,600 nautical miles. Converting that to kilometres gives a result of 40,003.2km. The distance from the equator to either north or south pole is 10,000km, so the circumferance via the poles is 40,000km. As you can see, the earth is fatter/squat because of the rotation, but the difference is only about 3km. The difference in radius at the equator versus either of the poles is therefore only about ½km. (3km. divided by 2pi)

mechanic · « **Reply #16 on:** February 07, 2005, 11:33:08 AM »

if the sun was on the scale of a grain of sand in size, then the next closest star would be over 4 miles away!

hehe

its true

Jackal1 · « **Reply #17 on:** February 07, 2005, 12:22:52 PM »

Consider that there are two trains. One is leaving from point A. The other is leaving from point C. Both are headed to point B.
The train leaving from point A will be traveling at 55mph. The train leaving from point C will be traveling at 60mph. The train leaving from point A will depart at 10:30 AM. The train leaving from point C will depart at 10:35 AM. The train leaving from point A will have a 10mph head wind. The train leaving from point C will have a 10mph tail wind. The train leaving from point A will have a 15 degree incline.
The train leaving from point C will be traveling on flat land. The train leaving from point A will carry 55 passengers ranging in weight from 130 to 210 pounds. The train leaving from point C will carry 60 passengers ranging in weight from 135 to 195 pounds. Both the train leaving from point A and the train leaving from point C will carry equal loads of luggage and fuel.
Why is point B such a happening place?
What is going on there and why in the hell haven`t we heard about it before these railheads?

hitech · « **Reply #18 on:** February 07, 2005, 12:39:46 PM »

Billard ball: Might be more smoth but very close for all purpose.

Earth: Evererst 37000 ft I.E. aprox 7 miles ocean depth about same.
I.E. +- 7 Miles over 8000mile dia. I.E. +- .001 %

Billard ball: 2.5" would equate to .0025 tollarance, not sure what the tollerance is but wouldn't suprise me if it is under .001.

HiTech

megadud · « **Reply #19 on:** February 07, 2005, 01:07:07 PM »

Quote

Originally posted by beet1e
Excellent work, Tilt and JCLerch.

2 pi multiplied by the difference in radii, in this case 3cm, = 6 x pi centimetres.

Swoop said Quite correct, but the difference is not as much as you might think. According to the Google Calculator, 1km is equivalent to 0.539956803 nautical miles. As you know, at the equator a change of 1 minute of longitude equates to 1 nautical mile. Each degree along the equator is 60 nautical miles, therefore the circumference of the earth, along the equator is 60 x 360 = 21,600 nautical miles. Converting that to kilometres gives a result of 40,003.2km. The distance from the equator to either north or south pole is 10,000km, so the circumferance via the poles is 40,000km. As you can see, the earth is fatter/squat because of the rotation, but the difference is only about 3km. The difference in radius at the equator versus either of the poles is therefore only about ½km. (3km. divided by 2pi)

if your not a teacher, go see a shrink

megadud

megadud · « **Reply #20 on:** February 07, 2005, 01:07:08 PM »

Quote

Originally posted by beet1e
Excellent work, Tilt and JCLerch.

2 pi multiplied by the difference in radii, in this case 3cm, = 6 x pi centimetres.

Swoop said Quite correct, but the difference is not as much as you might think. According to the Google Calculator, 1km is equivalent to 0.539956803 nautical miles. As you know, at the equator a change of 1 minute of longitude equates to 1 nautical mile. Each degree along the equator is 60 nautical miles, therefore the circumference of the earth, along the equator is 60 x 360 = 21,600 nautical miles. Converting that to kilometres gives a result of 40,003.2km. The distance from the equator to either north or south pole is 10,000km, so the circumferance via the poles is 40,000km. As you can see, the earth is fatter/squat because of the rotation, but the difference is only about 3km. The difference in radius at the equator versus either of the poles is therefore only about ½km. (3km. divided by 2pi)

if your not a teacher, go see a shrink

megadud

Nwbie · « **Reply #21 on:** February 07, 2005, 01:44:34 PM »

Let me know, I'll be getting sloshed in the club car

NwBie

Quote

Originally posted by Jackal1
Consider that there are two trains. One is leaving from point A. The other is leaving from point C. Both are headed to point B.
The train leaving from point A will be traveling at 55mph. The train leaving from point C will be traveling at 60mph. The train leaving from point A will depart at 10:30 AM. The train leaving from point C will depart at 10:35 AM. The train leaving from point A will have a 10mph head wind. The train leaving from point C will have a 10mph tail wind. The train leaving from point A will have a 15 degree incline.
The train leaving from point C will be traveling on flat land. The train leaving from point A will carry 55 passengers ranging in weight from 130 to 210 pounds. The train leaving from point C will carry 60 passengers ranging in weight from 135 to 195 pounds. Both the train leaving from point A and the train leaving from point C will carry equal loads of luggage and fuel.
Why is point B such a happening place?
What is going on there and why in the hell haven`t we heard about it before these railheads?

HavocTM · « **Reply #22 on:** February 07, 2005, 01:55:41 PM »

I took train C to point B once and we hit Train A because they forgot to stop at point B.

Octavius · « **Reply #23 on:** February 07, 2005, 02:07:17 PM »

Quote

Originally posted by megadud
if your not a teacher, go see a shrink

megadud

if you can't dig numbers, get a book ... or flip burgers

octavius

2stony · « **Reply #24 on:** February 07, 2005, 03:15:13 PM »

Does a bear ****e in the woods? Not most polar bears.

Or, what state in the continental U.S. lies the furthest North?

HavocTM · « **Reply #25 on:** February 07, 2005, 03:35:24 PM »

I believe it is Minnesota.. There is a small chunk that goes up into Canada. Maybe International Falls or something...

Of course it is probably the obvious Maine...

2stony · « **Reply #26 on:** February 07, 2005, 03:51:45 PM »

HavocTM is the winner! Yes, a lot of people think it's Maine, but Minnesota lays above the line further.

Jackal1 · « **Reply #27 on:** February 07, 2005, 06:43:31 PM »

Quote

Originally posted by Nwbie
Let me know, I'll be getting sloshed in the club car

NwBie

You buying?

BBQ_Bob · « **Reply #28 on:** February 07, 2005, 08:37:10 PM »

Quote

Originally posted by 2stony
Does a bear ****e in the woods? Not most polar bears.

Or, what state in the continental U.S. lies the furthest North?

That would be Angle, Minnesota

RightF00T · « **Reply #29 on:** February 07, 2005, 09:32:31 PM »

There is no such thing as half a hole.