Surprising Physics: Falling Flat Boards & Chimneys

In summary: Drop a full piece of chalk, I have done this experiment many times... With amazing regularity, it will break into 3 large pieces and several smaller fragments + dust, or .14 so it breaks into \pi pieces.Then what do you mean by "breaks into \pi pieces"? Aren't each of the smaller fragments pieces? How can you have .14 of a piece? When you talk about units, it seems like your defining a unit as (1/pi)*total length, so then it's no surprise that the fragment lengths sum to pi.
  • #71
Mk said:
I bought the chalk today, but I'm going to do it tomorrow. I'm confident it will break into pi pieces. Happy trails!

-Mr. Smith
Watch out for the witches and shepherds.
 
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  • #72
Now he even has me waiting for his results :smile:
 
  • #73
... he better come up with a detailed report ... gotten to the point that have to make someone do a lab assignment (for real) about this topic :biggrin: .
 
  • #74
I forgot to do it! Oh no, its 11 o'clock, I will do it tomorrow.
 
  • #75
So with my box of 16 3 and 1/4 inch, long-lasting non-toxic plain RoseArt white chalk, I would have to conclude: Myth busted.

Four trials, at 3 heights: 36", 42", and 48" inches.

At 36 inches:
Trial 1: 2 pieces (1:1)
Trial 2: 2 pieces (2:1)
Trial 3: 4 pieces (1:1:1:1)
Trial 4: 1 pieces

At 42 inches:
Trial 1: 2 pieces (1.5:1)
Trial 2: 1 pieces
Trial 3: 1 pieces
Trial 4: 3 pieces (1:4:1)

At 42 inches:
Trial 1: 2 pieces (2:1)
Trial 2: 2 pieces (1:1)
Trial 3: 1 pieces
Trial 4: 3 pieces (4:1:4)

Not one time did the chalk break into pi pieces.

Sorry kids.
 
  • #76
No wonder - you got long-lasting chalk! :eek:
 
  • #77
... now for starters someone fit a Weibull distribution to the results please :biggrin: ... we'll see what kind of brittle material we're talking about.
 

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