Introductory Unit
SI Units System International
- There are many types of units which are used to measure all
types of quantities. Perhaps you know your weight in pounds, but
would you know it in stone? A stone is one of a plethora of units
used historically. (and still currently in some countries) Find
out how much the unit "stone" is using this link http://www.unc.edu/~rowlett/units/index.html
- To standardize the units used to measure things an
international agreement was made to use SI or System
International. This system is accepted as standard in physics (and
science) and will be the fundamental system of measurement for
this course.
Scientific Notation
Unit Conversion
- McCulloch method of converting any units (relates to
dimensional analysis p571 in text)
- creating 1 from any equality
- you can multiply anything by 1 without changing it
- treat units as algebraic variables
- check your conversions using the web
Length / Distance Scale
Significant Digits
- rules
- simple arithmetic - see link above
- multiplication / division
- addition / subtraction
Gathering Information
- uncertainty in measurements (p565 in text)
- precision / accuracy
- rule of thumb - in absence of any other data estimate
the precision of an analogue measuring instrument to the
nearest 1/2 of the smallest graduation. This is reflected in
the number of significant digits. The number of significant
digits recorded is the number of significant digits which
are certain plus one significant digit which is uncertain.
For example if you were measuring a distance using a device
with the smallest graduation in mm, then you may record a
distance of 19.3 mm or 1.93 *10**1 mm. You would be certain
about the 1 and 9 digits and not certain but making your
best estimate at the 3 digit.
- percentage error / percentage difference (see bottom of
p565 text)
- compares your final result to a known or predicted
quantity.
- dependent and independent and control variables (see p548-549
in text)
Presenting Information
- graphing
- Usually independent variable is presented on the x-axis
(abscissa)
of the graph and the dependent variable is plotted on the
y-axis (ordinate)
of the graph.
- Dertermine the range of the data and select a suitable
scale.
- divisions should be convienient
- data should be spread out as much as possible
- Label both axes. [Variable Name, Symbol,
Units]
- Plot the data points
- Draw a best fit straight line or smooth curve that passes
through as many data points as possible.
- Do not draw line segments to connect the dots.
- Give the graph a title. [Fig 1, Graph of the Average
Distance vs the Time of the Cart for Test 1, 354g
Load]
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