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Physical World. Lecture 6. Units Can only add or subtract quantities that have like units. If this is the case add or subtract the numbers then assign the similar unit. a) 5 m + 11 m = 16 m b) 11 in – 5 in = 6 in c) 5ft + 6 in = can not add, must convert first 5ft + .5ft = 5.5 ft. Units
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Physical World Lecture 6
Units • Can only add or subtract quantities that have like units. If this is the case add or subtract the numbers then assign the similar unit. • a) 5 m + 11 m = 16 m • b) 11 in – 5 in = 6 in • c) 5ft + 6 in = can not add, must convert first • 5ft + .5ft = 5.5 ft
Units • You can multiply or divide any units. The units are then treated like variables, like in algebra. • a) 12m x 10m = 120m^2 • b) 12g/3ml = 4 g/ml • c) x/x = 1 • There may be special cases where you should convert before multiplying or dividing. • 2 m x 30cm = 2m x .3m = .6m^2
Conversions using Ratios • Book pg 656 & 657 • Basics: Convert 400kg to g • Write down what you are trying to convert • 400 kg • Set up ratio with known relationship • 400 kg (_1000 g) • ( 1 kg)
Further Info • See the website below for practice and a more descriptive explanation • http://faculty.fortlewis.edu/Milner_d/Unit%20Analysis%20Activity%20(2).doc • Also see Test #1 conversion problems on ARIS site
Motion – Chp 2 • Use speed, velocity, and acceleration in separate sentences. • Are there any differences? What are they? • Define each. What is speed? Velocity? Acceleration? • How are they calculated?
Motion • Two Fundamental components • Delta = change
Motion • Is a • Three primary motions
Linear Motion • Speed – • Average Speed • Instantaneous Speed • Constant Speed
Speed • Average Speed – • Speed = Speed = d t
Variations of Speed Formula • Original: s = d/t (only one given on test) • variations: • d = t x s • t = d/s s
Units for speed • Depends on what is given and what is asked for in problem • Ex: Given distance in meters and time in seconds. • Unit is meters/second or m/s • Ex: Given distance in kilometers and time in hours. Problem asks for speed in m/s
Speed • Instantaneous Speed – • Speedometer • Radar Gun
Speed • Constant Speed – • Maintaining a speed of 50mph
Constant Speed • It is difficult to maintain a constant speed while driving to campus. Factors that contribute to this difficulty.
Acceleration • Rate at which motion changes over time • Three ways this can occur
Acceleration • Increasing speed = • Decreasing speed =