PHY121_Formulae_M1

PHY121_Formulae_M1 - Formulae Vectors A = Axi Ayj with i(j...

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Formulae: Vectors: A = A x i + A y j with: i ( j ) the unit vector along the x ( y ) axis Trigonometry: sin θ b/c ; cos θ a/c ; tan θ b/a = “slope” of c thus: b=c sin θ , a=c cos θ , b=a tan θ , a 2 + b 2 = c 2 , hence: sin 2 θ + sin 2 θ = 1 sin θ = cos(90° θ ), sin θ = – sin( θ ), cos θ = cos( θ ) sin30° = cos60° = ½ sin60° = cos30° = ½ 3 sin45° = cos45° = ½ 2, tan45° = 1 Components: (if θ angle with the + x -axis!) A x =A cos θ ; A y =A sin θ ; A = ( A x , A y ) Scalar Product (“Dot” Product): ( θ A , B angle between the vectors A and B ) A · B = A x B x + A y B y = AB cos θ A , B = AB // = A // B Circle: circumference = 2 π R ; Area = π R 2 ; π 3.1416 Sphere: surface = 4 π R 2 ; volume=4 π R 3 /3 Quadratic Equation: ax 2 + bx + c= 0; constants a , b , and c Solutions: x + , x = [ – b ( b 2 – 4 ac ) ] /(2 a ) Prefixes: f=10 –15 , p=10 –12 , n=10 –9 , μ =10 –6 , m=10 –3 , k=10 3 , M=10 6 , G=10 9 , T=10 12 , P=10 15 Constants: g= 9.80 m/s 2 ; M E = 5.98×10 24 kg; R E = 6.37×10 6 m; N A = 6.022×10 23 mol –1 Uncertainty:  22 ;; SAB S A B Sc A ScA SAB SS AA BB    
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This note was uploaded on 02/20/2012 for the course PHY 121 taught by Professor Stephens during the Spring '08 term at SUNY Stony Brook.

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