User:Aalox/sandbox

User:Aalox/sandbox cecil merge

Other Funspot Links that will need linking if new page created:

New Wave Rides - Link Fun 'N Wheels to Fun Spot History List of amusement parks (E–H) - Add

Aaron's Formulas

$X=10in$

$M=.0035kg\times {\frac {2.205lbm}{kg}}=7.716\times 10^{-3}lbm$

$M_{B}=.08378kg\times {\frac {2.205lbm}{kg}}=0.1847lbm$

$E=10^{7}{\frac {lbf}{in^{2}}}$

$I={\frac {bh^{3}}{12}}={\frac {1.5in\times (.126in)^{3}}{12}}=2.5008\times 10^{-4}in^{4}$

$\omega ={\sqrt {\frac {3EI}{(M+.23M_{B})\times X^{3}}}}={\sqrt {\frac {3\times (10^{7}{\frac {lbf}{in^{2}}}\times {\frac {32.3lbm{\frac {ft}{s^{2}}}}{1lbf}}\times {\frac {12in}{1ft}})\times (2.5008\times 10^{-4})in^{4}}{((7.716\times 10^{-3}lbm)+.23\times (0.1847lbm))\times (10in)^{3}}}}={\sqrt {57931.8s^{-2}}}$

$\omega ={\sqrt {57931.8s^{-2}}}=240.69{\frac {rad}{s}}\times {\frac {1Hz}{2\pi {\frac {rad}{s}}}}=38.307Hz$

$\Delta x={\mbox{Initial Displacement}}$

$f={\mbox{Vibration Frequency}}$

$f(t)=\Delta x\times \cos {(2\pi (f)(t))}$

$f'(t)=\Delta x\times (2\pi (f))\times -\sin {(2\pi (f)(t))}$

$f''(t)=\Delta x\times (2\pi (f))^{2}\times -\cos {(2\pi (f)(t))}$

$-\Delta x\times (2\pi (f))^{2}={\mbox{Max Amplitude of }}f''(t)={\mbox{Max Acceleration}}$

$-\Delta x\times (2\pi (f))^{2}=-0.015m\times (2\pi (29.14{\mbox{Hz}}))^{2}=-512.2{\frac {m}{s^{2}}}$

$-\Delta x\times (2\pi (f))^{2}=-0.015m\times (2\pi (29.14{\mbox{Hz}}))^{2}=-512.2{\frac {m}{s^{2}}}$ .164791 V .09 ${\mbox{Accelerometer Sensitivity}}={\frac {\mbox{Volts}}{\frac {m}{s^{2}}}}={\frac {0.074791V}{512.2{\frac {m}{s^{2}}}}}=1.46017\times 10^{-4}{\frac {V}{\frac {m}{s^{2}}}}$

Yale Land

$X=10in$

$M=.0035kg\times {\frac {2.205lbm}{kg}}=7.716\times 10^{-3}lbm$

$M_{B}=.08378kg\times {\frac {2.205lbm}{kg}}=0.1847lbm$

$E=10^{7}{\frac {lbf}{in^{2}}}$

$I={\frac {bh^{3}}{12}}={\frac {1.5in\times (.126in)^{3}}{12}}=2.5008\times 10^{-4}in^{4}$

$\omega ={\sqrt {\frac {3EI}{(M+.23M_{B})\times X^{3}}}}={\sqrt {\frac {3\times (10^{7}{\frac {lbf}{in^{2}}}\times {\frac {32.3lbm{\frac {ft}{s^{2}}}}{1lbf}}\times {\frac {12in}{1ft}})\times (2.5008\times 10^{-4})in^{4}}{((7.716\times 10^{-3}lbm)+.23\times (0.1847lbm))\times (10in)^{3}}}}={\sqrt {57931.8s^{-2}}}$

$\omega ={\sqrt {57931.8s^{-2}}}=240.69{\frac {rad}{s}}\times {\frac {1Hz}{2\pi {\frac {rad}{s}}}}=38.307Hz$

infobox

Exxon Valdez oil spill
3 days after the Exxon Valdezl grounded
Location	Prince William Sound, Alaska
Date	March 24, 1989
Cause
Cause	Grounding of the Exxon Valdez oil tanker
Operator	Exxon
Spill characteristics
Volume	10.8 million US gallons
Area	1,300 square miles

Deepwater Horizon oil spill
Location	Gulf of Mexico, off the coast of Louisiana
Date	April 20, 2010 - Ongoing
Cause
Cause	Blowout of the Deepwater Horizon oil rig
Operator	BP
Spill characteristics
Volume	5000 barrels/day (estimate)
Area	3,850 square miles (April 30)