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• ##### OK, I will(1+ / 0-)
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vets74

A spherical particle 3 microns in diameter has a volume of

4/3*pi* (1.5)^3 = 14.137 cubic microns.

A spherical particl 30 microns in diameter has a volume of

4/3*pi* (15)^3 = 14137 cubic microns.

looking at the ratio we have 14137/14.137 = 1000

More generally, if you have a sphere or radius r, and you scale it up by a factor f so the new radius is f*r then the ratio of the volumes is (using ^ to indicate exponentiation)

4/3*pi*(r*f)^3      4/3*pi*(r^3) * (f^3)
-------------------- = -------------------------
4/3*pi*r^3             4/3*pi*(r^3)

The 4*3*pi*(r^3) terms cancel and you're left with the ratio being
f^3

so the volume increases as the 3rd power of the scale factor.

and what does this staement mean:

a square of 2x2 is 4 sq ft.
a square of 20x20 is 400 sq ft.

See how that works?

We we talking about volumes, and you have this strange example involving areas. And your example shows quite clearly that when you scale an object the area goes up as the 2nd power of the scale factor, and as I just showed, volume goes up by the 3rd power. This is high school geometry stuff.

• ##### right(0+ / 0-)

So a number to the 3rd power is a lot bigger than a number to the second power.

ANyway, the point is that a particle of 30 microns in diameter has significantly more volume/radiation than one of 3 microns in diameter.

When the power of love overcomes the love of power, there will be peace. - Jimi Hendrix

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• ##### but(0+ / 0-)
ANyway, the point is that a particle of 30 microns in diameter has significantly more volume/radiation than one of 3 microns in diameter.

We never denied that. It's just that it's no where near as big as the numbers you keep making up. It is, in fact, 1000 times bigger.

• ##### You knew he was kidding himself(0+ / 0-)

when you saw the math error.

These guys don't know jack. And they don't care.

Ignorance and apathy... or just shills like the pack out of Leadership Institute.

Angry White Males + Crooks + Personality Disorder psychos + KKKwannabes + "Unborn Child" church folk =EQ= The Republicans

[ Parent ]

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