MT01_eqn - Useful Equations Constants fundamental unit of...

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Useful Equations Constants: e = 1.602 10 19 C fundamental unit of charge m e = 9.11 10 31 kg, mass of the electron m p = 1.67 10 27 kg mass of the proton K = 1/(4  0 ) =9.0 10 9 N m 2 C 2 Electric proportionality constant 0 = 8.85 10 12 C 2 N 1 m 2 , 0 = 4 10 7 T m A 1 Permittivity and permeability of free space g = 9.80 m/s 2 acceleration of gravity N A = 6.022 10 23 mole 1 A v o g a d r o s N u m b e r c = 3.00 10 8 m/s Speed of light in a vacuum Conversions and relationships: C = 2 r , A = r 2 circumference and area of a circle A = 4 r 2 , V = (4/3) r 3 Surface area and volume of a sphere 2 rad = 360 = 1 revolution Relationship between radians, degrees, and revolutions. Quadratic Equation: For an equation, ax 2 + bx + c = 0, the solution is a ac b b x 2 4 2 . Trigonometry: If the vector V makes an angle of with the x axis, then V x = V cos , V y = V sin , the magnitude of V , is given by 2 2 y x V V V , and tan = V y / V x .
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