Formula Sheet for Mechanics

Formula Sheet for Mechanics - PHSX 114 Spring 2008 Formulae...

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PHSX 114 – Spring 2008 Formulae for 6 th Exam Constants : g = 9.80 m/s 2 downwards Atmospheric Pressure = 1.01 X 10 5 Pa = O H 2 ρ 1.00 X 10 3 kg/m 3 ρ Hg = 13.6 X 10 3 kg/m 3 Speed of sound in air, v snd = 340 m/s ( T = 15 0 C) I 0 = 1.00 X 10 -12 W/m 2 Trigonometric Relations : Kinematic Formulae : t x t - t x - x v 1 2 1 2 ave = = t v t - t v - v a 1 2 1 2 ave = = t x 0 t lim v = t v 0 t lim a = at v v 0 + = 2 0 0 at 2 1 t v x x + + = ) x 2a(x v v 0 2 0 2 - + = 2 v v v 0 ave + = Distance traveled, t v x - x ave 0 = For motion in earth’s gravitational field with the +y axis chosen to be upwards, gt v v 0 - = 2 0 0 gt 2 1 t v y y - + = ) y 2g(y v v 0 2 0 2 2 - - = , 2 v v v 0 ave + = but you must be careful when you use the latter relation Vectors : With A = magnitude of A and θ = angle between the direction of A and the x-axis, A x = Acos θ = Asin φ, A y = A sin θ = Acos φ, A 2 = A x 2 + A y 2 , θ = tan -1 x y A A For B A C + = , etc., C x = A x + B x and C y = A y +B y sin θ = a/c, cos θ = b/c, tan θ =a/b sin θ = cos Φ , θ = sin Φ c 2 = a 2 + b 2 , θ = tan -1 (a/b) a b c θ Right Angled Triangle 0 x y A y A x A θ Φ φ
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Quadratic equation : Solution to the quadratic equation, ax 2 + bx + c = 0 is: 2a 4ac b b - x 2 - ± =
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This note was uploaded on 09/25/2009 for the course EN 530.201 taught by Professor Graham-brady during the Fall '09 term at Johns Hopkins.

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Formula Sheet for Mechanics - PHSX 114 Spring 2008 Formulae...

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