8.9
The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number
Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)
log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n
(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n
So the ASTM grain size number is 8.9
If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458
Or about 2,400,000 grains per square inch.
Answer: Advertisement?
Do I need an explanation? : Y e s I d o
Answer:
Hellk there
Step-by-step explanation:
Hello good day hru
Answer:
Therefore the maximum number of bouquets is 12.
Step-by-step explanation:
Given that, Angelina has 24 tulip and 36 roses.
To find the number bouquets, we need the find out the g.c.d (greatest common divisor) of 24 and 36.
24= 2×2×2×3
36=2×2×3×3
The common factors are = 2,2,3
The g.c.d of 24 and 36 is =2×2×3
= 12
Therefore the maximum number of bouquets is 12.
Answer:
Rotational symmetry of 180 degrees around the origin - yes
Rotational symmetry of 270 degrees around the origin - no
Step-by-step explanation:
thanks to math bits notebook we can see a visual representation
As you can see the parallelogram has rotational symmetry of 180
