1. Simplification and Conversion 2. Application of functions in formulas
Simplifying and Converting for transition of units a conversion unit is needed the conversion factor allows units to be cancelled out through simplification the end product is in the left over units
Simplifying and Converting (Continued) The reason this works is because the conversion factor is equal to one. For example: Km m 3km x 1000m 1 1km = 3000m
Conversion Example 2 When dealing with derived units more than one conversion factor is required. For example: mi/h f/s 35 mi x 1h x 1min x 5280ft 1h 60min 60sec 1mi = 51.3 f/s
Functions A function’s purpose is to substitute a numerical value for a variable. For example: F(6) = x = 8 F(6) = 8
Formulas In physics the equivalent of a function is a formula. Substitution value of desired variable v = x/t (velocity = distance/time) x = 20ft t = 2s v = 20ft/2s v = 10ft/s
Formulas (Continued) Linear programming – 2 variables f(x,y) represents the limits (coordinates) substitution of coordinates into the linear function will produce the desired value
Application in Physics In physics sometimes two variables need to be replaced to find the answer. For example: f = ma (force = mass x acceleration) m = kg a = 24.5 m/s/s 15,192kg x 24.5m/s/s thrust of rocket = 372,204N = 372,204N
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