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College Physics. Chapter 1 Introduction What is science? Measurements Matter Dimensional Analysis Uncertainty Significant figures Conversions Order of magnitude Coordinate systems Basic Trigonometry. What is Science?. Definition Theory Experiment What is Physics.
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College Physics Chapter 1 Introduction • What is science? • Measurements • Matter • Dimensional Analysis • Uncertainty • Significant figures • Conversions • Order of magnitude • Coordinate systems • Basic Trigonometry
What is Science? • Definition • Theory • Experiment • What is Physics
Fundamental Quantities and Their Dimension • What is a dimension? • Basic Types
Units • What is it? • Different Types
Systems of Measurement • CGS • MKS • FPS • SI
Standard Definitions • Length • Mass • Time
Prefixes for Powers of 10 • Kilo • Mega • Milli • Micro • Nano • Pico
Dimensional Analysis • What is it? • What is the Basic condition? • Limitations
Example - Dimensional Analysis • The period of a simple pendulum, defined as the time for one complete oscillation, is measured in time units and is given by where ℓ is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.)
Uncertainty in Measurements • What is it? • How do I find it?
Uncertainty in Measurements - Example • Two I-beams are to be joined end to end. One has been measured to be 3.456 m long; the other, 4.3 m. When they are bolted snugly together, what value can you accurately give for the total length?
Significant Figures • What is it? • How do I work with it? • Examples
Conversions • What is it? • Why worry about it? • Example:
Order of Magnitude • What is it? • When is it used?
Order of Magnitude - Example • An automobile tire is rated to last for 50 000 miles. Estimate the number of revolutions the tire will make in its lifetime.
Coordinate Systems • What is it? • How many types do I need to know?
Example • A point is located in a polar coordinate system by the coordinates r = 2.5 m and θ = 35°. Find the x and y coordinates of this point, assuming the two coordinate systems have the same origin.
Example • A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0°. What are the lengths of (a) the side opposite the 30.0° angle and (b) the side adjacent to the 30.0° angle?