square roots

genius
Posers and Puzzles 07 Mar '05 11:30
1. genius
Wayward Soul
07 Mar '05 11:30
what's the msot ingenious method of finding square roots that you have come accross?

if you take a pendulum and measure the time for x swings, then half the length and measure the time for x swings, then divide the first time by the second - you have 3^(1/2) ! (that's an exclamation mark, not a factorial by the way...)

to find root 3, third the length, root 4 quater it etc...! although it only works accuratly without dampening i think...anwyay, anyone got any more random ways?...
2. AThousandYoung
07 Mar '05 12:271 edit
Originally posted by genius
what's the msot ingenious method of finding square roots that you have come accross?

if you take a pendulum and measure the time for x swings, then half the length and measure the time for x swings, then divide the first time by the seco ...[text shortened]... ut dampening i think...anwyay, anyone got any more random ways?...
Wow. That is amazing.

The only one I can think of is by measuring the long side of an isosceles right triangle.
3. 07 Mar '05 14:043 edits
Originally posted by genius
- you have 3^(1/2)

Do we need a pendulum (whose accuracy depends on theta)?

Drop an apple from a tree.
Drop it again from another tree twice as big/small.
Divide one time by the other.
(Of course, wind resistance will be a factor.)

4. 07 Mar '05 14:08
Originally posted by THUDandBLUNDER

Do we need a pendulum (whose accuracy depends on theta)?

Drop an apple from a tree.
Drop it again from a another tree twice as big/small.
Divide one time by the other.
(Of course, wind resistance will be a factor.)

This sounds like a lot of tree climbing ðŸ™‚ ðŸ™‚ ðŸ™‚
5. 16 Mar '05 16:28
you could just look at the formula for the time period of a pendulum and you'd know that anyway. the best way of finding square roots is using matrices.
6. genius
Wayward Soul
16 Mar '05 16:49
well-yeah-that's where i got it from...ðŸ˜›
7. PBE6
Bananarama
17 Mar '05 00:55
Originally posted by valdez
you could just look at the formula for the time period of a pendulum and you'd know that anyway. the best way of finding square roots is using matrices.
How do you use matrices to find square roots? Sounds interesting.
8. Bowmann
Non-Subscriber
22 Mar '05 23:27
Originally posted by THUDandBLUNDER