Casio fx-5800p and HP Prime: American Wire Gauge (AWB)
Everyone, I wish you all a Happy Holiday season, Merry Christmas and Happy New Year! I'm thankful for all of you. Wishing you the best! - Eddie
Introduction
The following formula calculates the diameter of an American Wire Gauge:
d = 460 / (92^((3 + g)/39)) (in mils)
where g is the wire number (integer).
Define g as:
Wire number: 0000000, g = -6
Wire number: 000000, g = -5
Wire number: 00000, g = -4
Wire number: 0000, g = -3
Wire number: 000, g = -2
Wire number: 00, g = -1
Wire number: 0, g = 0
Any other wire number, enter g as the wire number (1, 2, 3, 4, etc.)
Conversion factor: 1000 mils = 1 in
Cross area of the wire:
a = d^2
Casio fx-5800p Program WIRES
Given the wire number, the program WIRES returns the diameter of the wire in inches and the cross sectional area in square inches.
"WIRE NUMBER: "? → G
460 ÷ (92 ^((3 + G) ÷ 39)) → D
D ÷ 1000 → D
D^2 → A
"DIAMETER: (IN)" ⊿
D ⊿
"CROSS AREA: (IN^2)" ⊿
A
HP Prime Program Function AWB
Given the wire number, the function AWB returns the diameter of the wire in inches.
EXPORT AWG(g)
BEGIN
// American Wire Gauge Diameter Function
// 2018-12-23 EWS
// in inches
RETURN (460/(92^((3+g)/39)))/1000;
END;
Examples:
g = -2 (000); d ≈ 0.4096 in, a ≈ 0.1678 in^2
g = 3; d ≈ 0.2294 in, a ≈ 0.0526 in^2
g = 6; d ≈ 0.1620 in, a ≈ 0.0263 in^2
Sources:
Ball, John A. Algorithms For RPN Calculators John Wiley & Sons: New York 1978. ISBN 0-471-03070-8
Glover, Thomas J. Pocket Ref 4th Edition. Sequoia Publishing, Inc.: Littleton, CO 2012. ISBN 978-1-885071-62-0
Eddie
All original content copyright, © 2011-2018. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. Please contact the author if you have questions.
Everyone, I wish you all a Happy Holiday season, Merry Christmas and Happy New Year! I'm thankful for all of you. Wishing you the best! - Eddie
Introduction
The following formula calculates the diameter of an American Wire Gauge:
d = 460 / (92^((3 + g)/39)) (in mils)
where g is the wire number (integer).
Define g as:
Wire number: 0000000, g = -6
Wire number: 000000, g = -5
Wire number: 00000, g = -4
Wire number: 0000, g = -3
Wire number: 000, g = -2
Wire number: 00, g = -1
Wire number: 0, g = 0
Any other wire number, enter g as the wire number (1, 2, 3, 4, etc.)
Conversion factor: 1000 mils = 1 in
Cross area of the wire:
a = d^2
Casio fx-5800p Program WIRES
Given the wire number, the program WIRES returns the diameter of the wire in inches and the cross sectional area in square inches.
"WIRE NUMBER: "? → G
460 ÷ (92 ^((3 + G) ÷ 39)) → D
D ÷ 1000 → D
D^2 → A
"DIAMETER: (IN)" ⊿
D ⊿
"CROSS AREA: (IN^2)" ⊿
A
HP Prime Program Function AWB
Given the wire number, the function AWB returns the diameter of the wire in inches.
EXPORT AWG(g)
BEGIN
// American Wire Gauge Diameter Function
// 2018-12-23 EWS
// in inches
RETURN (460/(92^((3+g)/39)))/1000;
END;
Examples:
g = -2 (000); d ≈ 0.4096 in, a ≈ 0.1678 in^2
g = 3; d ≈ 0.2294 in, a ≈ 0.0526 in^2
g = 6; d ≈ 0.1620 in, a ≈ 0.0263 in^2
Sources:
Ball, John A. Algorithms For RPN Calculators John Wiley & Sons: New York 1978. ISBN 0-471-03070-8
Glover, Thomas J. Pocket Ref 4th Edition. Sequoia Publishing, Inc.: Littleton, CO 2012. ISBN 978-1-885071-62-0
Eddie
All original content copyright, © 2011-2018. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. Please contact the author if you have questions.