Physics 1. Formula sheet, Cheat Sheet of Physics

Download Physics 1. Formula sheet and more Cheat Sheet Physics in PDF only on Docsity! Physics I. Formula Sheet Right triangle: sin  = a/c cos  = b/c tan  = a/b c2 = a2 + b2 Quadratic Formula: Ax2 + Bx + C = 0 has solutions: Misc Formulas: Circumference of a circle = 2R Area of a circle = R2 Surface Area of a Sphere = 4R2 Volume of sphere = (4/3)R3 Volume of cylinder = R2L Differentiation: dxn/dx = nxn-1 (n ≠ 0) dcos(x)/dx = sin(x) (x in radians) dsin(x)/dx = cos(x) (x in radians) d(f(x) + g(x))/dx = df(x)/dx + dg(x)/dx Integration: 1-D Motion: displacement = x vaverage: x/t = (x2 – x1)/(t2 – t1) aaverage: v/t = (v2 – v1)/(t2 – t1) Given x(t) v(t) = dx/dt (instantaneous) a(t) = dv/dt = d2x/dt2 (instantaneous) 1-D Motion with Const. Acc.: x(t) = x0 + v0xt + (1/2) at2 v(t) = v0 + at v2 = v0 2 + 2a(x – x0) Projectile Motion: x(t) = x0 + v0xt vx(t) = v0x ax(t) = 0 y(t) = y0 + v0yt + (1/2) ayt 2 vy(t) = v0y+ ayt ay(t) = ay Acceleration due to gravity: g = 9.8 m/s2 downward Equations connect. trans./rotat. motion vtan = R atan = R Rotat. kinematic eq-ns with const. angular acceleration (t) = 0+t (t) =0+0t +(1/2)t 2 20 2+ 2 (–0) Centripetal acceleration: ar = v2/R; aR = 2R Newton 2nd law Friction Forces: Fs ≤ µsN Fk = µkN Work and Kinetic Energy ∙ K = (1/2)mv2 Wnet = K K = Kf Ki Potential Energy: For gravity on earth's surface: F=mg U(y) = U0 + mgy For a spring: F = kx U(x) = (1/2)kx2 2 With conservative forces only: Etot = K + U With non-conservative forces: Power Pavg = W/t P = dW/dt P   F   v ∙ cos ∙ A ACBB x 2 42   C n x dxx n n     1 1