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Useful Equations and Expressions

# Useful Equations and Expressions - Useful Equations and...

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Useful Equations and Expressions Thin Lens Relationships Fundamental Equation : ( 1/f = 1/d o +1/d i ) f = + for converging f = - for diverging d i = + if opposite side of lens to d o (image real, inverted) d 0 = - if same side of lens as d o (image virtual, upright) m = -(d i /d 0 ) Power of Lens : P (diopters) = 1/f (f in meters) Power of lenses together : P TOTAL = P 1 + P 2 +… Magnification from Lenses Angular size: θ = S/R (S = arc length, R=distance from eye) Magnification of magnifying glass : m=(1/f-1/d i )N (N is “near point of eye”) Magnification of compound microscope: m= (L-f e )N/(f o f e ) f e = focal length of eyepiece f 0 = focal length of objective lens L = distance between lenses N = “near point of eye” Magnification of Telescope : m= -f o /f e Simple Harmonic Motion Fundamental Equation : F=-K Δ x K=”spring constant” Δ x=displacement from equilibrium Time and frequency relationships : T = period of oscillation (sec) f= 1/T (Hz) ω = 2 π f (radians) Δ x=A sin ( ω t) (A is max amplitude relative to equilibrium)

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Waves (both sound and light)
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