distances in optics. This is the unit MOST people in AP forget to convert) x 10 -2 c Milli- ( Used sometimes to express small distances) x 10 -3 m Micro- ( Used mostly in electronics to express the value of a charge or capacitor) x 10 -6 μ Nano ( Used to express the distance between wave crests when dealing with light and the electromagnetic spectrum) x 10 -9 n Tip: Use your constant sheet when you forget a prefix value
Example If a capacitor is labeled 2.5mF(microFarads), how would it be labeled in just Farads? The FARAD is the fundamental unit used when discussed capacitors! 2.5 x 10 -6 F Notice that we just add the factor on the end and use the root unit. The radio station XL106.7 transmits at a frequency of 106.7 x 10 6 Hertz. How would it be written in MHz (MegaHertz)? A HERTZ is the fundamental unit used when discussed radio frequency! 106.7 MHz Notice we simply drop the factor and add the prefix.
Dimensional Analysis Suppose we want to convert 65 mph to ft/s or m/s. Dimensional Analysis is simply a technique you can use to convert from one unit to another. The main thing you have to remember is that the GIVEN UNIT MUST CANCEL OUT. hour miles 65 sec 60 min 1 min 60 1 • hour mile ft 1 5280 = × × × × × × ⇒ 1 60 60 1 5280 1 1 65 s ft 95 s ft 95 ft meter 281 . 3 1 = × × ⇒ 281 . 3 1 1 95 s m / 29
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