physics’1210’ spring2016’ prof.’jang2condell’...

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Physics 1210 Spring 2016 Prof. JangCondell Equation Sheet For Exam #2 v avg = x 2 x 1 t 2 t 1 = Δ x Δ t a avg = v 2 v 1 t 2 t 1 = Δ v Δ t a rad = v 2 R = 4π 2 R T 2 x 1 = x 0 + v 0 t + 1 2 at 2 v 1 = v 0 + at v 1 2 = v 0 2 + 2 a( x 1 x 0 ) v = d r dt a = d v dt F = m a w = m g f s μ s N f k = μ k N f = kv f = Dv 2 f spring = kx Work/Energy W = F s = Fs cosθ W = ΔK K = 1 2 mv 2 U spring = 1 2 kx 2 U grav = mgy P = ΔW Δ t = F v F = dU dx Momentum/Impulse p = m v K 1 + U 1 + W other = K 2 + U 2 J = Δ( mv ) = F Δt x cm = m i x i m i Angular Motion Kinematics θ 1 = θ 0 + ω 0 t + 1 2 α t 2 ω 1 = ω 0 + α t ω 2 1 = ω 0 2 + 2α ( θ 1 θ 0 ) I = m i r i 2 i I = I cm + Md 2 ω = d θ dt α = dω dt s = r θ v = r ω a tan = r α a rad = ω 2 r 2π = 360 g = 9.80 m/s 2

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Page 1: Physics’1210’ Spring2016’ Prof.’Jang2Condell’ …physics.uwyo.edu/.../PHYS1210/Exam2_equationsheet.pdfPhysics’1210’ Spring2016’ Prof.’Jang2Condell’ ’ EquationSheet’For’Exam’#2’

Physics  1210  Spring  2016  

Prof.  Jang-­‐Condell    

Equation  Sheet  For  Exam  #2    

 

vavg =x2 − x1t2 − t1

=ΔxΔ t

aavg =v2 − v1t2 − t1

=ΔvΔ t

arad =v2

R=4π 2RT 2x1 = x0 + v0t + 1

2 at2 v1 = v0 + at v1

2 = v02 + 2a(x1 − x0 )

v = drdt

a = dvdt

F∑ =ma

w =m g fs ≤ µsN fk = µkN f = k v f = Dv2 fspring = −kx

Work/Energy W =

F ⋅ s = Fscosθ

W = ΔK K = 12mv

2 Uspring = 12 kx

2 Ugrav =mgy

P = ΔWΔ t

=F ⋅ v

F = − dUdx

Momentum/Impulse p =mv

K1 +U1 +Wother = K2 +U2

J = Δ(mv) = FΔt xcm =mi∑ xim∑ i

Angular Motion

Kinematics

θ1 =θ0 +ω 0 t + 12α t

2 ω1 =ω 0+α t ω 21 =ω0

2 + 2α (θ1 −θ0 )

I = miri2

i∑ I = Icm +Md

2

ω =dθdt

α =dωdt s = rθ v = rω atan = rα arad =ω

2r 2π = 360

g = 9.80 m/s2