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2001
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PHYMSSD Honors Physics
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| Average Speed |
Average
Speed |
= |
Distance Travelled |
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| Elapsed Time |
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| Average Linear Velocity |
| vx |
= |
Displacementx |
= |
x - xo |
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|
| Elapsed Time |
(t-to) |
| vy |
= |
Displacementy |
= |
y - yo |
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| Elapsed Time |
(t-to) |
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| Average Linear Acceleration |
| ax |
= |
Change in
X Velocity |
= |
vfinalx - vstartx |
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|
| Elapsed Time |
(t-to) |
| ay |
= |
Change in
Y Velocity |
= |
vfinaly - vstarty |
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|
| Elapsed Time |
(t-to) |
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Constant x Acceleration
Kinematics Formulas |
| vx |
= |
vxo + ax (t-to) |
| x |
= |
0.5 (vxo + vx) (t-to) |
| x |
= |
xo + vxo t + 0.5 ax (t-to)2 |
| vx2 |
= |
vxo2 + 2.0 ax (x-xo) |
| vxo |
= |
vo cos(q) |
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Constant Y-Acceleration
Kinematics Formulas |
| vy |
= |
vyo + ay (t-to) |
| y |
= |
0.5 (vyo + vy) (t-to) |
| y |
= |
yo + vyo t + 0.5 ay (t-to)2 |
| vy2 |
= |
vyo2 + 2.0 ay (y-yo) |
| vyo |
= |
vo sin(q) |
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| Relative Motion Formulas |
| x[A/C] |
= |
x[A/B] + x[B/C] |
| vx[A/C] |
= |
vx[A/B] + vx[B/C] |
| ax[A/C] |
= |
ax[A/B] + ax[B/C] |
| y(A/C) |
= |
y[A/B] + y[B/C] |
| vy[A/C] |
= |
vy[A/B] + vy[B/C] |
| ay[A/C] |
= |
ay[A/B] + ay[B/C] |
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| Newton's Three Laws of Motion |
| #1 |
If F = 0, then v = constant |
| #2 |
S Fx |
= |
m ax |
| #2 |
S Fy |
= |
m ay |
| #3 |
FA on B |
= |
-FB on A |
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| Translational Equilibrium |
| Fx |
= |
0 |
| Fy |
= |
0 |
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Newton's Law of Universal
Gravitation Attraction |
| Fgravity |
= |
G |
m1 m2 |
|
| d2 |
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| Surface Friction |
| Fstatic |
= |
ms N |
| Fkinetic |
= |
mk N |
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| Speed in a Circle |
| v |
= |
2 p R |
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| T |
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| Centripetal Acceleration |
| ac |
= |
v2 |
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| R |
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| Centripetal Force |
| Fc |
= |
m v2 |
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| R |
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| Work |
| W |
= |
F cos(angle) displacement |
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| Power |
| P |
= |
Energy or Work |
= |
F v |
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| Time |
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| Kinetic Energy |
| KE |
= |
0.5 m v2 |
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Gravitational Potential Energy
Near The Earth's Surface |
| PEg |
= |
m g y |
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Gravitational Potential Energy
Anywhere Above The Earth's Surface |
| PEg |
= |
- G m mE/(RE+y) |
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| Work By The Net Force |
| WNET |
= |
KEFINAL - KEINITIAL |
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| Conservation of Mechanical Energy |
| (KE + PE)START |
= |
(KE + PE)FINAL |
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| Linear Momentum |
| pX |
= |
m vX |
| pY |
= |
m vY |
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| Impulse-Momentum Theorem |
| FX Dt |
= |
p(FINISH)X-p(START)X |
| FY Dt |
= |
p(FINISH)Y-p(START)Y |
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| Average Angular Velocity |
Average
Angular
Velocity |
= |
Angular
Displacement |
= |
q - qo |
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| Elapsed Time |
(t-to) |
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| Average Angular Acceleration |
Average
Angular
Acceleration |
= |
Change in
Angular
Velocity |
= |
wfinal - wstart |
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| Elapsed Time |
(t-to) |
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| Constant Angular Acceleration |
| w |
= |
wo + a (t-to) |
| q |
= |
0.5 (wo + w) (t-to) |
| q |
= |
qo + wo t + 0.5 a (t-to)2 |
| w2 |
= |
wo2 + 2.0 a (q-qo) |
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| Tangential Values |
| s |
= |
R q |
| vT |
= |
R w |
| v |
= |
(vC2+vT2)0.5 |
| aT |
= |
R a |
| a |
= |
(aC2+aT2)0.5 |
T = Tangential Component
C = Centripetal Component
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| Torque |
| t |
= |
F d cos(q) |
| t |
= |
FPERP d |
| t |
= |
F dPERP |
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Newton's Second Law
of Rotation |
| t |
= |
I a |
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Kinetic Energy
of Rotation |
| KEROTATION |
= |
0.5 I w2 |
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| Laws of Equilibrium |
Sum Of All
X Forces |
= |
SFy |
= |
0 |
Sum Of All
Y Forces |
= |
SFy |
= |
0 |
Sum Of All
Torques
Around Axis |
= |
S taxis |
= |
0 |
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| Stretch/Compression Deformation |
| F/A |
= |
Y DL/Lo |
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| Shear Deformation |
| F/A |
= |
S Dx/Lo |
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| Volume Deformation |
| DP |
= |
-B DV/Vo |
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| Frequency of Vibration |
| f |
= |
(1/2p) (k/m)0.5 |
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| Elastic Potential Energy |
| PEelastic |
= |
0.5 k (Dx)2 |
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| Conservation of Mechanical Energy |
| Etotal |
= |
(1/2)mv2 + (1/2)Iw2 + mgh + (1/2)k(Dx)2 |
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| Pressure and Depth Law |
| P2 |
= |
P1 + rg(y1-y2) |
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| Gauge Pressure |
| Pgauge |
= |
P - Patmo |
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| Archimede's Principle |
| Buoyant Force |
= |
Weight of Displaced Fluid |
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| oF to oC |
| oC |
= |
(5/9) (oF - 32) |
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| oC to oF |
| oF |
= |
(9/5) oC + 32 |
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| oC to oK |
| oK |
= |
oC + 273.15 |
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| Linear Thermal Expansion |
| DL |
= |
aLoDT |
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| Volume Thermal Expansion |
| DV |
= |
bVoDT |
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| Heat Transfer with Changing Temperature |
| Q |
= |
c m DT |
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| Heat Transfer and Phase Change |
| Q |
= |
m L |
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| Conduction of Heat |
| Q |
= |
k A t DT / L |
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| Radiation of Heat |
| Q |
= |
e s T4 A t |
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| Ideal Gas Law |
| P V |
= |
N k T |
| P V |
= |
n R T |
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| Kinetic Theory |
| P V |
= |
(2/3) N (0.5 m vrms2) |
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| Ideal Gas Internal Energy |
| U |
= |
N ((3/2) k T) |
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| First Law of Thermodynamics |
| DU |
= |
Qinto system - Wby system |
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| Work in an Isobaric Process |
| W |
= |
P DV |
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| Work in an Isothermal Process |
| W |
= |
N k T ln(Vf/Vi) |
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| Work in an Adiabatic Process |
| W |
= |
(3/2) N k (Ti - Tf) |
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| Gas Law for an Adiabatic Process |
| Pi Vig |
= |
Pf Vfg |
| gideal gas |
= |
(5/3) |
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| Heat Energy Efficiency |
| Efficiency |
= |
Work Done/Input Heat |
| Efficiency |
= |
1 - (QC/QH) |
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Wed Mar 27 10:08:49 2002 |
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