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We will have our first test in 3. 3 WHAT!! Without units it is a meaningless statement! All measurements require a unit – otherwise the measurement is wrong!
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Fundamental & Derived Units
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Dimensions & Units Dimensions tell what physical property you are measuring like time, space, volume. Units say something about the amount you are measuring. Small distance mm, large distance km.
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7 Base/Fundamental Units Physics UnitSymbol DimensionDefinition Meterm length Kilogramkg mass__________. Second___time__________. Ampere___charge rate elc charge flow. KelvinK________________.
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Derived Units: Combos of base Mechanics – motion, force, matter. All units derived from kg, m, s. Ex: density, velocity.
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Remind yourselves of the metric prefixes. Ref Tables. 10 12 g = ___ g. ____m = 1 pm 9 m=____m. 10 12 g = 1 Tg (Tera). 1x10 -12 m = 1 pm (pico) 9 m= 9 x 10 -6 m (micro).
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Practice. 13 Ghz 22 Mp 1.3 dm 15 mJ 13 x 10 9 hz 22 x 10 6 p 1.3 x 10 -1 m 15 x 10 -3 J
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Text pg 27 #5
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Dimensional Analysis Used to convert between units and prefixes. The method makes use of multiplying by unit factors to complete conversions.
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Unit Factors are fractions = 1 We use them as multiplier. Tx pg 12. 1 cm/10 -2 m 10 -2 m/1cm. 10 -3 g/1 mg. 1mg/1x10 -3 g. All equal the number 1. It doesn’t matter which is in numerator.
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Use the method for unit conversion Handout “Dimensional Analysis” Review. Do wksht prac dimensional analysis problems together.
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Video Lesson Metric Prefixes & Conversions https://www.youtube.com/watch?v=LaLXN2D xQN4 https://www.youtube.com/watch?v=LaLXN2D xQN4 Hwk. Text pg 28 #11 a-g. Show all work.
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Do Now:
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Order of Magnitude & Estimation Physics must give values for the very large & the very small. The prefixes give orders of magnitude (power of 10) to the value.
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Order of Magnitude All numbers can be expressed as a power of 10. O.M. refers to the power of 10 to which a measurement is closest. The number 2 is between 10 0 = 1 and 10 1 = 10 but closer to 1. OM =10 0. 3 cm = 0.03 m between 0.1 - 0.01 10 -1 – 10 -2 m Closer to 10 -2.
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2 km in meters = 2 x 10 3 m or 2000 m. order of magnitude in meters is 10 3. 1.4 g = 1.4 x 10 -6 g. OM grams is ___________. 10 -6. We say “on the order of 10 -6 grams.
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Some orders of magnitude are easy. In meters: 100 m = 1x 10 2 m. 2 mm = 2x 10 -3 m. 30 cm = 30 x 10 -2 m = 3.0 x 10 -1 m If the coefficient is between 4 – 6 it’s harder. Your calculator will do it right!
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127 m 488 g 420 nm in m We can use the log function on your calculator to find the order of magnitude. Then round the answer. 10 2.1 ~ 10 2 10 2.688 ~ 10 3 420 x 10 -9 ~ 10 -6.3767 ~ 10 -6. Using the log function, find the order of magnitude for the following:
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2. What is the order of magnitude of the distance in meters from Earth to the moon? 10 9 m.
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3. Estimate the order of magnitude of the height of the counter in cm. 100 cm ~ 10 2 cm. 4. Estimate the order of magnitude of the thickness of a pencil tip in meters. 1 mm = 10 -3 m
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Hwk: Worksheet Order Magnitude Estimation
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Fermi Estimations 4 min https://www.youtube.com/watch?v=0YzvupO X8Is https://www.youtube.com/watch?v=0YzvupO X8Is
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