Estimate the number of hairs in a typical braid

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A typical human hair is approximately 100 μm in diameter, and the average person has around 100,000 hairs on their head. To estimate the number of hairs in a braid, one can calculate the area of the braid using the formula for the area of a circle, πr², where r is the radius of the braid. A common suggestion for the radius is about one inch, which can help in estimating the total number of hairs. The discussion emphasizes that the question is meant to be an estimation rather than an exact calculation, and participants suggest using online resources for further information.
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A human hair is about 100 μm across. Estimate the number of hairs in a typical braid.
The average number of hairs on a person’s head = 100,000, and the answer is supposed to be 10,000. Can someone explain how you would get 10,000? Thanks in advance
 
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NosajW said:
A human hair is about 100 μm across. Estimate the number of hairs in a typical braid.
The average number of hairs on a person’s head = 100,000, and the answer is supposed to be 10,000. Can someone explain how you would get 10,000? Thanks in advance

Is this homework? It's not really classical physics. Anyway, I presume you estimate the radius of a ponytail, compute the area pi*r^2, then convert the area into units of hair diameters per m^2.

Now this wouldn't be the densest possible solution but I presume hair is not densely packed.
 
Yeah it's homework and I am taking classical physics so I thought I'd post it here. This is the beginning of the course so we're doing units and basic stuff. This question is ridiculous, how big is the radius of a typical braid supposed to be anyway.
 
NosajW said:
Yeah it's homework and I am taking classical physics so I thought I'd post it here. This is the beginning of the course so we're doing units and basic stuff. This question is ridiculous, how big is the radius of a typical braid supposed to be anyway.

I don't know, try an inch and see what you get. BTW there is a sub forum here for homework problems. Remember, it said estimate. You don't need to get exactly the same answer. But if you want Google average human braid diameter and see if you can find anything.
 
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