Sunday, December 23, 2018

Casio fx-5800p and HP Prime: American Wire Gauge (AWB)

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)" ⊿


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.

2 comments:

  1. This will get put to use as soon as I program it. 20 years of using a chart!
    Merry Christmas Eddie!

    ReplyDelete
    Replies
    1. Merry Christmas and Happy New Year, Bill!

      Eddie

      Delete

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