HP 32S and HP 32SII Week: Richter Scale
Richter Scale
The equation calculates the massive energy given by a earthquake given the earthquake's magnitude by the Richter scale:
E = 10^(11.3 + 1.8 * M), where E is in ergs
with conversions:
Ergs to Joules: multiply by 1 * 10^-7
Ergs to ft-lbs: multiply by 7.3756 * 10^-8
Equation Modifications
Energy of an earthquake, given by Richter scale, in Joules (SI units):
E = 10^(4.3 + 1.8 * M)
Energy of an earthquake, given by Richter scale, in Foot-Pounds (US units):
E ≈ 10^(4.1678 + 1.8 * M)
HP 32S/32SII Program: Earthquake Energy - SI Units
Size: 13.5 bytes
R01 LBL R
R02 18
R03 ×
R04 43
R05 +
R06 10
R07 ÷
R08 10^x
R09 STOP
Example: 3.4 Magnitude
Result: 26,302,679,919 J
Notes:
* In general, each step takes 1.5 bytes.
* Integers 0 to 99 (HP 32S) and 0 to 254 (HP 32SII) takes 1.5 bytes while all other real numbers takes 9.5 bytes. It could be advantageous to build numbers out of small integers than enter real number constants. Using a real constant uses 6 steps.
* It's supposed to be advantageous to end programs with STOP (R/S) than RTN.
HP 32S/32SII Program: Earthquake Energy - US Units
Size: 21.5 bytes
R01 LBL R
R02 18
R03 ×
R04 10
R05 ÷
R06 4.1678
R07 +
R08 10^x
R09 STOP
Example: 3.4 Magnitude
Result: 19,399,922,723.9 ft-lbs
Source:
Young, G.B. "Earthquake Magnitude - Energy Conversation" Hewlett-Packard HP-674/HP-97 User's Library Solutions: Earth Sciences Hewlett Packard: Corvallis, OR. pp. 1-4 February 1978
Download the document here, with gratitude to hpcalc.org:
https://literature.hpcalc.org/items/1015
Eddie
All original content copyright, © 2011-2022. 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.
