1 Motion - Eastern Oregon University Physics and...
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Physics 202 Cheat Sheet 1 Motion Constant Acceleration Processes Constant Angular Acceleration Processes a = constant α = constant v = v 0 + at ω = ω 0 + at x = x 0 + v 0 t + 1 2 at 2 θ = θ 0 + ω 0 t + 1 2 αt 2 v 2 = v 2 0 +2aΔx (Handy Eq.) ω 2 = ω 2 0 +2αΔx At a Point s = rθ v = ωr a = αr F = ma τ = Iα W = F Δx W = τ Δθ P = Fv P = τω KE = 1 2 mv 2 KE = 1 2 Iω 2 p = mv L = Iω Rolling F f riction = μN (slip) s cm = rθ (no slip) v cm = ωr (no slip) a cm = αr (no slip) Systems of Objects F net,external = Ma cm τ net,external = Iα cm 2 Units SI: m, kg, s area: m 2 , volume: m 3 velocity: m/s, acceleration: m/s 2 Common Conversions 1. 3600 s =1 hour 2. 1.609 km =1 mile 3. 1 m/s =2.237 mi/hr 4. 745.7 W atts =1 hp (HorseP ower) 5. 1 mL =1 cm 3 Common Physical Constants 1. c =2.998 × 10 8 m/s (Speed of Light) 2. g =9.81 m/s 2 = 32.2 f t/s 2 3. G =6.674 × 10 -11 N · m 2 /kg 2 4. ρ air =1.2041 kg/m 3 =0.0012041 g/cm 3 5. ρ water =1 g/cm 3 = 1000 kg/m 3 6. R =8.314 J mol·K = 82.057 mL·atm mol·K 7. P 0 =1 atm = 101.325kPa (atm. press.) 8. ν human = 20Hz → 20kHz 9. I human =0 → 120 dB = 10 -12 → 1 W/m 2 3 Circular Motion Centripetal means towards the center of the circle a centrip = v 2 r , F centrip = mv 2 r T =2πr/v (T is period of motion) 4 Collisions I ≡ F Δt =Δp “Elastic” = Energy is Conserved “Inlastic” = Energy is NOT Conserved “Perfectly Inlastic” = Two objects move together post-collision 5 Simple Harmonic Motion ω spring = k m ω pendulum = g L x(t)= Acos(ωt) v(t)= -ωAsin(ωt) a(t)= -ω 2 Acos(ωt) ω =2πf = 2π T E = 1 2 mv 2 + 1 2 mω 2 x 2 = Constant 6 Temp., Pressure, Density T C = 5 9 (T F - 32) T F = 9 5 T C + 32) T K = T C + 273.15) PV = nRT PV nT = Constant P ≡ F /A P = P 0 + ρgh ρ ≡ m/V F buoy = ρ f luid Vg S.G.(Specific Gravity)= ρ/ρ water P = P 0 + ρ f luid gh ΔL = αLΔT 7 Heat Transfer Conduction, Convection, Radation ΔT = IR R ≡ Δx kA R series = R 1 + R 2 1 R parallel = 1 R1 + 1 R2 R f ≡ Δx k = RA 8 Sound v sound,air = 331 1+ TC 273 m/s I ≡ P /A (Intensity) dB = 10log I I0
Transcript of 1 Motion - Eastern Oregon University Physics and...
Physics 202 Cheat Sheet
1 MotionConstant Acceleration Processes Constant Angular Acceleration Processesa = constant α = constantv = v0 + at ω = ω0 + atx = x0 + v0t+
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2at2 θ = θ0 + ω0t+
1
2αt2
v2 = v20 + 2a∆x (Handy Eq.) ω2 = ω20 + 2α∆x
At a Points = rθv = ωra = αr
F = ma τ = IαW = F∆x W = τ∆θP = Fv P = τωKE = 1
2mv2 KE = 1
2Iω2
p = mv L = IωRollingFfriction = µN (slip) scm = rθ (no slip)
vcm = ωr (no slip)acm = αr (no slip)
Systems of ObjectsFnet,external = Macm τnet,external = Iαcm
2 UnitsSI: m, kg, sarea: m2, volume: m3
velocity: m/s, acceleration: m/s2
Common Conversions
1. 3600 s = 1 hour
2. 1.609 km = 1 mile
3. 1 m/s = 2.237 mi/hr
4. 745.7 Watts = 1 hp (HorsePower)
5. 1 mL = 1 cm3
Common Physical Constants
1. c = 2.998× 108 m/s (Speed of Light)
2. g = 9.81 m/s2 = 32.2 ft/s2
3. G = 6.674× 10−11N ·m2/kg2
4. ρair = 1.2041 kg/m3 = 0.0012041 g/cm3
5. ρwater = 1 g/cm3 = 1000 kg/m3
6. R = 8.314 Jmol·K
= 82.057 mL·atmmol·K
7. P0 = 1 atm = 101.325kPa (atm. press.)
8. νhuman = 20Hz → 20kHz
9. Ihuman = 0 → 120 dB = 10−12→ 1 W/m2
3 Circular MotionCentripetal means towards the center of the circle
acentrip = v2
r, Fcentrip = mv2
r
T = 2πr/v (T is period of motion)
4 CollisionsI ≡ F∆t = ∆p“Elastic” = Energy is Conserved“Inlastic” = Energy is NOT Conserved“Perfectly Inlastic” = Two objects move togetherpost-collision
5 Simple Harmonic Motion
ωspring =√
km
ωpendulum =√
gL
x(t) = Acos(ωt)v(t) = −ωAsin(ωt)a(t) = −ω2Acos(ωt)ω = 2πf = 2π
T
E = 1
2mv2 + 1
2mω2x2 = Constant
6 Temp., Pressure, DensityTC = 5
9(TF − 32)
TF = 9
5TC + 32)
TK = TC + 273.15)PV = nRTPVnT
= ConstantP ≡ F/AP = P0 + ρghρ ≡ m/VFbuoy = ρfluidV gS.G.(Specific Gravity) = ρ/ρwater
P = P0 + ρfluidgh∆L = αL∆T
7 Heat TransferConduction, Convection, Radation∆T = IRR ≡
∆xkA
Rseries = R1 +R2
1
Rparallel= 1
R1
+ 1
R2
Rf ≡∆xk
= RA
8 Soundvsound,air = 331
√
1 + TC
273m/s
I ≡ P/A (Intensity)
dB = 10log(
II0
)
