User talk:Greg Glover/sandbox

Sandbox

Firearm boox

This user is a member of WikiProject Firearms

v² v_g E_k=½mv²

$i={\frac {2}{n}}$ ${\sqrt {}}$ ${n}$

$x={\frac {-b\pm {\sqrt {b^{2}-4ac\ }}}{2a}}.$

$i={\frac {2}{n}}{\sqrt {4n-1}}{n}$

$i={\frac {2}{n}}\cdot {\frac {\sqrt {4n-1}}{n}}$

$i={\frac {2}{n}}\cdot {\sqrt {\frac {4n-1}{n}}}$

5 Treatment after 5.1 Level of Care

Math formating

$E_{k}={\tfrac {1}{2}}mv^{2}$

Kinetic energy

$E_{t}={\tfrac {mv^{2}}{2g_{c}}}$

$F=ma\,$

$E_{0}=mc^{2}\,$

$E_{t}=wz\,$

$E_{t}=wz$

$E_{t}={\tfrac {mgvt}{2g_{c}}}$

$E_{t}={\tfrac {mdFt^{2}dtt}{t^{2}mdt^{2}}}$

$E_{t}=dF$

or

$E_{t}=ft-lb_{f}$

$g_{c}\,$

$32.174049={\tfrac {md}{Ft^{2}}}$

or

$32.174049={\tfrac {lb_{m}\cdot ft}{lb_{f}\cdot s^{2}}}$

or more commonly

32.174 049

$32.174049\,$

$E_{t}=.5\cdot mv^{2}$ (in SI units of measure in SI mathematical form)

$E_{t}={\tfrac {mv^{2}}{2}}$ (in SI units of measure in English Engineering mathematical form)

$E_{t}={\tfrac {mv^{2}}{2g_{c}}}$ (in English Engineering units of measure in English Engineering mathematical form)

$hp={\tfrac {ft-lb_{f}\cdot rpm}{5252}}$

$Force(lb_{f})=m(lb_{m})\cdot g(ft/s^{2})={\tfrac {m(slug)\cdot g(ft/s^{2})}{g_{c}(32.174049lb_{m}ft/lb_{f}sec^{2})}}$

$g_{c}=3.28084ft\cdot 2.204623lb_{m}\cdot 4.4482209lb_{f}\,$ ^-1 $\cdot (s\,$ ^-2$)=32.174049ft\cdot lb_{m}\cdot lb_{f}\,$ ^-1 $\cdot s\,$ ^-2

TKE equations

Substitution: (it yields a totally unrealalistic approximation of free recoil)

$E_{tgu}=E_{tp}\cdot {\tfrac {m_{p}}{m_{gu}}}\cdot 1000\,$

Short form:

$E_{tgu}=0.5\cdot [{\tfrac {(m_{p}\cdot v_{p})+(m_{c}\cdot v_{c})}{1000}}]^{2}/m_{gu}$

Long form:

$v_{gu}={\tfrac {(m_{p}\cdot v_{p})+(m_{c}\cdot v_{c})}{1000}}/m_{gu}$ → $E_{tgu}=0.5\cdot m_{gu}\cdot v_{gu}^{2}\,$

TKE calculation

$E_{tgu}=0.5\cdot [{\tfrac {(m_{p}\cdot v_{p})+(m_{c}\cdot v_{c})}{1000}}]^{2}/m_{gu}$

and with the numaric values in place;

$E_{tgu}=0.5\cdot [{\tfrac {(9.1\cdot 823)+(2.75\cdot 1585)}{1000}}]^{2}/4.54=$

$E_{tgu}=0.5\cdot [{\tfrac {(7489.3)+(4358.75)}{1000}}]^{2}/4.54=$

$E_{tgu}=0.5\cdot [{\tfrac {11848.05}{1000}}]^{2}/4.54=$

$E_{tgu}=0.5\cdot 11.848^{2}/4.54=\,$

$E_{tgu}=0.5\cdot 140.367/4.54=\,$

$E_{tgu}=70.188/4.54=\,$

$E_{tgu}=15.46J=\,$ of free recoil

Torque

${\boldsymbol {\tau }}=\mathbf {r} \times \mathbf {F} \,\!$

$\tau =rF\sin \theta \,\!$

Sign formating

${\boldsymbol {\tau }}=\mathbf {r} +\mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r} -\mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r} \times \mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r} \cdot \mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r} \div \mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r_{2}} +\mathbf {F} \,\!$

${\boldsymbol {\tau }}=\mathbf {r^{2}} +\mathbf {F} \,\!$

${\boldsymbol {\tau }}\equiv \mathbf {r} +\mathbf {F} \,\!$

${\sqrt {4}}=2$

This is how you strike through.

This is how you Outdent. Every colon (:) moves the outdent line inboard, one tab.

Pound force

1 pound-force	= 1pound times the standard acceleration of gravity
	= 1 lbm × 32.174 049 ft/s2
	≡ 0.453 592 37 kg × 9.806 65 m/s2		= 4.448 221 62 N

$1lb_{f}\,$	$=1lb_{m}\cdot g\,$
	$={\tfrac {1lb_{m}\cdot 32.174049ft}{s^{2}}}$
	$\equiv {\tfrac {1kg\cdot 9.80665m}{s^{2}}}$		$=4.44822162N\,$

1 pound-force

= 1 slug·ft/s2

$1lb_{f}\,$

$={\tfrac {1slug\cdot 1ft}{s^{2}}}$

Although force and weight can be mathematically equal, they are two distinct quantities:

$F=ma\,$

$={\tfrac {md}{t^{2}}}$

and

$w=mg\,$

$={\tfrac {md}{t^{2}}}$

The use of “mass” as an interchangeable word with “weight” is really an engineering colloquialism. So within the contexts of Newton's Second Law it is incorrect to say weight is equal to mass or to imply that weight is equivalent to mass:

$w=mg\equiv m$

outline formating

1. Frame of reference
   • Merge Inertial reference frame
   • No formulations
   • Definition and description of fictitious forces
   1. Newton's laws of motion for a particle
   2. Euler's laws of motion for rigid bodies and deformable bodies
   3. Rectilinear motion (particle) (kinematics and dynamics)
      • Merge the article Equations of motion.
      • Including uniform and accelerated rectilinear motion.
      • Mention momentum, impulse
      • Inertial and non-inertial reference frames formulations.
      • Merge parts of content from Mechanics of planar particle motion
   4. Curvilinear motion (particle) (Kinematics and dynamics)
      • Merging Circular motion, Uniform circular motion
      • Mention Angular momentum
      • Inertial and non-inertial reference frames formulations.
      • Merge parts of content from Mechanics of planar particle motion
   5. Rigid body mechanics (kinematics and dynamics)
      • Merging Rigid body, Rotational motion
      • Mention Angular momentum and linking to its main article.
      • Inertial and non-inertial reference frames formulations.
      1. Centrifugal force
         • Merge parts of Centrifugal force (rotating reference frame)
         • Merge Reactive centrifugal force
      2. Centripetal force
      3. Coriolis force

• That's how you do an Outline

Task force

Good afternoon Rracecarr,

would be interested in heading up a “Task force” to clean up and standardize all the pages (stubs) that pertain the Foot-Pound-Second System (FPS). The writings and math for pages like Poundal and Foot-poundal is all over the place. I checked out the Pound (mass) page. What are people thinking and for what reason was the Foot-Pound-Second System page redirected to the Pound (mass) page? See here for the proposal.

I would be more than glad to do as much of the work as possible. I think User:Dorminton and User:MarcusMaximus would support this proposal. Greg Glover (talk) 20:43, 11 August 2010 (UTC)

FPS Task force proposal

Objective: to clean up and standardize pages from the Foot-Pound-Second System, its subsystems and units of measure for writing and math.

1. Foot-Pound-Second System (FPS)
   • Redirected the FPS page away from the Pound (mass) page as a new page that will be the main article.
   • Write and edit new text for this page.
   1. Create subcategory called “Subsystems”
      • Redirect the English Engineering System page the new FPS page under Subsystems.
      • Add Gravitational System and Absolute System under Subsystems.
      • Create a new GravEngAbs box or find the old GravEngAbs box and fix it.
   • Use Footnotes.
2. "Pound mass"
   • Create new page for the pound mass(name to be determined); m = F/a.
   • Write and edit new text for this page specifying Engineering and Absolute subsystems.
   • Redirect any references of weight to the Pound (mass) page; F = ma or W = mg/gc.
3. Pound-foot (torque)
   • Redirect or rename this page Foot-pound (torque)
   • Clean up and standardize.
4. Poundal
   • Clean up and standardize.
5. Foot-poundal
   • Clean up and standardize.
6. Pound force
   • Standardize.
7. Slug
   • Standardize.

Supported or Unsupported

• Supported Greg Glover (talk) 20:31, 11 August 2010 (UTC)

Comments

Use the Foot-pound (energy) page as a template.

Richter magnitude examples (2.0 MJ Base)Table Draft

The following table is the final work as of 2:44pm PDT, 21 MAR 11

Richter magnitudes examples

The following table lists the approximate energy equivalents in terms of TNT explosive force – though note that the earthquake energy is released underground rather than overground. Most energy from an earthquake is not transmitted to and through the surface; instead, it dissipates into the crust and other subsurface structures. In contrast, a small atomic bomb blast (see nuclear weapon yield) will not simply cause light shaking of indoor items, since its energy is released above ground.

As stated above the Richter scale is LOG ₁₀ based. Therefore, the Richter scale numbers may appear grossly understated or or overly stated; 8.1 to 8.12 or 9.0 to 9.02 on this table respectively.

That is because LOG ₁₀ is exponential. Specifically it is exponential between the powers of 0 and 1. 10 to the power of 0 equals 1 and 10 to the power of 1 equals 10.

Following, 31.623 to the power of 0 equals 1, 31.623 to the power of 1 equals 31.623 and 31.623 to the power of 2 equals 1000. Therefore, an 8.0 on the Richter scale releases 31.623 times more energy than a 7.0 and a 9.0 on the Richter scale releases 1000 times more energy than a 7.0.

Richter Approximate Magnitude	Approximate TNT for Seismic Energy Yield	Joule equivalent	Example
0.0	15.0 g	63.1 kJ
0.2	80.3 g (2.83 oz)	337.2 kJ	Large hand grenade
0.5	206.5 g	867.2 kJ
1.0	476.0 g (1.05 lb)	2.0 MJ	Small construction site blast
1.5	6.6 kg	27.6 MJ
2.0	15.0 kg	63.1 MJ
2.5	206.5 kg	867.2 MJ
3.0	476.0 kg	2.0 GJ
3.5	6.6 metric tons	27.6 GJ
3.74	9.5 metric tons	40.0 GJ	Chernobyl nuclear disaster, 1986
3.79	11.0 metric tons	46.2 GJ	Massive Ordnance Air Blast bomb
4.0	15.0 metric tons	63.1 GJ
4.3	118.9 metric tons	499.2 GJ	Kent Earthquake (Britain), 2007
4.5	206.5 metric tons	867.2 GJ	Tajikistan earthquake, 2006
5.0	476.0 kilotons	2.0 TJ	Lincolnshire earthquake (UK), 2008 $M_{W}$ Ontario-Quebec earthquake (Canada), 2010
5.5	6.6 kilotons	27.6 TJ	Little Skull Mtn. earthquake (Nevada, USA), 1992 $M_{W}$ Alum Rock earthquake (California, USA), 2007 $M_{W}$ Chino Hills earthquake (Los Angeles, USA), 2008
5.6	8.1 kilotons	34.0 TJ	Newcastle Earthquake Australia, 1989
6.0	15.0 kilotons	63.1 TJ	Double Spring Flat earthquake (Nevada, USA), 1994
6.3	118.9 kilotons	499.2 TJ	$M_{W}$ Rhodes earthquake (Greece), 2008 Christchurch earthquake (New Zealand), 2011
6.4	161.1 kilotons	676.8 TJ	Kaohsiung earthquake (Taiwan), 2010
6.5	206.5 kilotons	867.2 TJ	$M_{S}$ Caracas earthquake (Venezuela), 1967 $M_{W}$ Eureka earthquake (California, USA), 2010
6.6	261.9 kilotons	1.1 PJ	$M_{W}$ San Fernando earthquake (California, USA), 1971
6.7	309.5 kilotons	1.3 PJ	$M_{W}$ Northridge earthquake (California, USA), 1994
6.8	357.1 kilotons	1.5 PJ	$M_{W}$ Nisqually earthquake (Anderson Island, WA), 2001 Gisborne earthquake (Gisborne, NZ), 2007
6.9	404.8 kilotons	1.7 PJ	$M_{W}$ San Francisco Bay Area earthquake (California, USA), 1989 $M_{W}$ Pichilemu earthquake (Chile), 2010
7.0	476.0 kilotons	2.0 PJ	$M_{W}$ Java earthquake (Indonesia), 2009 $M_{W}$ Haiti earthquake, 2010
7.1	1.5 megatons	6.2 PJ	$M_{W}$ Messina earthquake (Italy), 1908 $M_{W}$ San Juan earthquake (Argentina), 1944 $M_{W}$ Canterbury earthquake (New Zealand), 2010
7.2	2.5 megatons	10.6 PJ	Vrancea earthquake (Romania), 1977 $M_{W}$ Baja California earthquake (Mexico), 2010
7.5	6.6 megatons	27.6 PJ	$M_{W}$ Kashmir earthquake (Pakistan), 2005 $M_{W}$ Antofagasta earthquake (Chile), 2007
7.6	8.1 megatons	34.0 PJ	$M_{W}$ Gujarat earthquake (India), 2001
7.7	9.7 megatons	40.6 PJ	$M_{W}$ Sumatra earthquake (Indonesia), 2010
7.8	11.4 megatons	47.8 PJ	$M_{W}$ Tangshan earthquake (China), 1976 $M_{S}$ Hawke's Bay earthquake (New Zealand), 1931 $M_{S}$ Luzon earthquake (Philippines), 1990
8.0	15.0 megatons	63.1 PJ	$M_{S}$ Mino-Owari earthquake (Japan), 1891 San Juan earthquake (Argentina), 1894 San Francisco earthquake (California, USA), 1906 $M_{S}$ Queen Charlotte Islands earthquake (B.C., Canada), 1949 $M_{W}$ Chincha Alta earthquake (Peru), 2007 $M_{S}$ Sichuan earthquake (China), 2008
8.1	46.2 megatons	194.0 PJ	México City earthquake (Mexico), 1985 Guam earthquake, August 8, 1993
8.12	50 megatons	210 PJ	Tsar Bomba - Largest thermonuclear weapon ever tested
8.49	200 megatons	840 PJ	Krakatoa 1883
8.5	206.5 megatons	867.2 PJ	$M_{W}$ Sumatra earthquake (Indonesia), 2007
8.7	309.5 megatons	1.3 EJ	$M_{W}$ Sumatra earthquake (Indonesia), 2005
8.8	357.1 megatons	1.5 EJ	$M_{W}$ Chile earthquake, 2010,
9.0	476 gigatons	2.0 EJ	$M_{W}$ Lisbon earthquake (Portugal), All Saints Day, 1755 $M_{W}$ Sendai earthquake and tsunami (Japan), 2011
9.02	800 gigatons	3.2 EJ	Toba eruption 75,000 years ago; among the largest known volcanic events.
9.2	2.5 gigatons	10.6 EJ	$M_{W}$ Anchorage earthquake (Alaska, USA), 1964
9.3	3.8 gigatons	15.8 EJ	$M_{W}$ Sumatra-Andaman earthquake and tsunami (Indonesia), 2004
9.5	6.6 gigatons	27.6 EJ	$M_{W}$ Valdivia earthquake (Chile), 1960
10.0	15.0 gigatons	63.1 EJ	Never recorded
12.25	95.2 teratons	400 ZJ	Yucatán Peninsula impact (creating Chicxulub crater) 65 Ma ago (108 megatons; over 4x1030 ergs = 400 ZJ).
22.7	309.5×1027 tons	1.3×1039 J	Approximate magnitude of the starquake on the magnetar SGR 1806-20, registered on December 27, 2004.

• Quakes using the more modern magnitude scales will denote their abbreviations: $M_{W}$ and $M_{S}$. Those that have no denoted prefix are $M_{L}$. Please be advised that the magnitude “number” (example 7.0) displayed for those quakes on this table may represent a significantly greater or lesser release in energy then by the correctly given magnitude (example $M_{W}$).

Good afternoon Glenn L, As I have stated earlier. I can't do logarithms. I see that you can. As I perceive over the last several months the community has adopted my compromise.

Can you go see here and double check the math?

Richter magnitudes for 2.0 MJ Table Draft

Richter Approximate Magnitude	Approximate TNT for Seismic Energy Yield	Joule equivalent	Example
1.0	476.0 g	2.0 MJ
1.1	1.5 kg	6.2 MJ
1.2	2.5 kg	10.6 MJ
1.3	3.8 kg	15.8 MJ
1.4	5.1 kg	21.4 MJ
1.5	6.6 kg	27.6 MJ
1.6	8.1 kg	34.0 MJ
1.7	9.7 kg	40.6 MJ
1.8	11.4 kg	47.8 MJ
1.9	13.1 kg	55.2 MJ
2.0	15.0 kg	63.1 MJ
2.1	46.2 kg	194.0 MJ
2.2	80.3 kg	337.2 MJ
2.3	118.9 kg	499.2 MJ
2.4	161.1 kg	676.8 MJ
2.5	206.5 kg	867.2 MJ
2.6	261.9 kg	1.1 GJ
2.7	309.5 kg	1.3 GJ
2.8	357.1 kg	1.5 GJ
2.9	404.8 kg	1.7 GJ
3.0	476.0 kg	2.0 GJ