All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Science
Two items to get sqrt of 2 (Posted on 2016-07-19) Difficulty: 2 of 5
Evaluate an approximate value of sqrt(2), using a sneaker and a stopwatch only.

Source: Mark Levi's "Why Cats Land On Their Feet?"

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Shoes land on their feet. A solution. | Comment 1 of 5
Use the sneaker to mark off two heights on the wall, one twice the other.  Say 3 'feet' and 6 'feet'.  Use the stopwatch to measure how long it takes the dropped sneaker to fall to the floor from each of these heights.  The ratio of these times is the square root of 2.

This solution takes advantage of the fact that the distance an object falls (ignoring air resistance etc.) is proportional to the square of the time.

Assumption: we have a wall.  It is also pretty hard to measure such short time intervals with a stopwatch so the accuracy is questionable.

A more accurate solution would be to let me use the stopwatch on my smartphone.  Then I can quickly switch to a calculator app and give you 10 decimal digits.

  Posted by Jer on 2016-07-19 10:28:08
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information