Physics Formula and Data Sheet, Cheat Sheet of Engineering Physics

Download Physics Formula and Data Sheet and more Cheat Sheet Engineering Physics in PDF only on Docsity! 3 PHYS1121/PHYS1131 – FORMULA AND DATA SHEET This information will be provided to students in all examinations in the course. The symbols in formulæ have the conventional meanings. • Kinematics Constant acceleration: x = xo + vxot + ! 1 2 axt 2 v = vxo + axt vx2 = vxo2 + 2ax(x – xo) Circular motion: v = rω ac = v2/r • Dynamics Newton’s 2nd law ΣF = dp dt ΣF = ma Hooke’s law F = – kx Work dW = F.dx Power P = ! dW dt = F v cos θ Kinetic Energy K = ! 1 2 mv2 Potential Energy U(x) = – ! Fdx" F = – ! dU dx U = mgh, U = ! 1 2 kx2 Momentum p = mv Centre of mass rcm = Σmiri M or = ⌡⌠rdm M • Rotational dynamics: ω = ! d" dt α = ! d" dt τ = r F sin θ = Iα I = ! mi i " ri 2 or = ⌡⌠r2dm L = r x p L = mr v sin θ or = Iω W = ⌡⌠ τ dθ K = ! 1 2 Iω2 ! I = 2 5 MR 2 solid sphere • Thermal Physics: ΔL L = α ΔT ΔV V = βΔT ! Q =mc "T Q = mL PV = nRT = NkBT ! " = 3 2 kBT = 1 2 mv 2 U = N ε _ = 3 2 NkBT PVγ = constant H = κA ! dT dx dW = -P dV ! "Eint =Q +W • Gravitation Gravitation |F| = ! Gm1m2 r 2 U = – ! Gm1m2 r Keppler’s 2nd Law ! dA dt = L 2M" Keppler’s 3rd Law ! T 2 = 4"2 GMs # $ % & ' ( a3 continue to next page... 4 • Waves and Oscillations µ = T v ! v = B " fv != f2!=" k = 2! " f 1 T = kxF != maxmax SvP !"=# g 2T l != ! " 2 = k /m ! f = 1 2" k m !! " # $$ % & =' 0 10 I I log10 212 0 Wm10I !! = area power I = 2 r4 I ! = P ! I = 1 2 "v#2Smax 2 22 Av 2 1 !µ=P ! " f = f c ± v0 c ! vs # $ % & ' ( 21beat fff != )tkxsin(Ay !+"#= µ = T L2 n fn n n ! =! Trigonometric identities: ! sinA ± sinB = 2sin A ± B 2 " # $ % & ' cos A ! B 2 " # $ % & ' cos A + cos B = 2 cos ! A + B 2 cos A"B 2 cos A - cos B = -2 sin ! A + B 2 sin A"B 2 ! sin 2 "+ cos 2 " =1 cosine rule: ! a 2 = b 2 + c 2 " 2bccos# ! sin A ± B( ) = sinA cos B± cos A sin B ! cos A ± B( ) = cosA cos B! sin A sin B