eqnmidterm2

eqnmidterm2 - Equations for Midterm 2 Physics 6A, Winter...

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Equations for Midterm 2 Physics 6A, Winter 2008 Geometry Area of circle: A = πr 2 Circumfrence of circle: C = 2 πr Volume of sphere: V = 4 3 πr 3 Density: ρ = M V Vector Math For some vector v r with components x and y : v r = ( x,y ) Magnitude r = | v r | = r x 2 + y 2 Angle θ = arctan ( y x ) x = r cos θ y = r sin θ v r 1 + v r 2 = ( x 1 + x 2 ,y 1 + y 2 ) Velocity and Acceleration Average velocity: v = Δ v x Δ t Displacement in case of constant velocity: x = x 0 + ± x t Average acceleration: v a = Δ v Δ t Velocity in case of constant acceleration: ± x = ± x 0 + a x t Displacement in case of constant acceleration: x = x 0 + ± x 0 t + 1 2 a x t 2 Velocity, acceleration, and displacement: ± 2 x = ± 2 x 0 + 2 a x ( x - x 0 ) Relative velocity: Velocity of object B with respect to point/object A: ± B | A Velocity of object C with respect to point/object B: ± C | B Velocity of object C with respect to point/object A: ± C | A = ± C | B + ± B | A Projectile motion: for initial velocity ± 0 at some angle θ 0 : Horizontal range R = ± 2 0 sin 2 θ 0 g Uniform Circular Motion: constant speed ± c in a circle of radius
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This note was uploaded on 04/07/2008 for the course PHYS 6a taught by Professor Stanek during the Winter '07 term at UCSB.

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eqnmidterm2 - Equations for Midterm 2 Physics 6A, Winter...

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