HCI 01 Measurement Lecture Notes

Hwa Chong Institution (College Section) H2 Physics C1 2023 1 Chapter 1 Measurement An indication of the range over which physical measurements are made.

Hwa Chong Institution (College Section) H2 Physics C1 2023 2 TOPIC 1: MEASUREMENT H2 Physics Syllabus 9749 SECTION I: Measurement Measurement Learning Outcomes Students should be able to: Physical quantities and SI units (a) recall the following base quantities and their SI units: mass (kg), length (m), time (s), current (A), temperature (K), amount of substance (mol). (b) express derived units as products or quotients of the base units and use the named units listed in ‘Summary of Key Quantities, Symbols and Units’ as appropriate. (c) use SI base units to check the homogeneity of physical equations. (d) show an understanding of and use the conventions for labelling graph axes and table columns as set out in the ASE publication Signs, Symbols and Systematics (The ASE Companion to 16–19 Science, 2000). (e) use the following prefixes and their symbols to indicate decimal sub-multiples or multiples of both base and derived units: pico (p), nano (n), micro (μ), milli (m), centi (c), deci (d), kilo (k), mega (M), giga (G), tera (T). (f) make reasonable estimates of physical quantities included within the syllabus. Scalars and vectors (g) distinguish between scalar and vector quantities, and give examples of each. (h) add and subtract coplanar vectors. (i) represent a vector as two perpendicular components. Errors and uncertainties (j) show an understanding of the distinction between systematic errors (including zero error) and random errors. (k) show an understanding of the distinction between precision and accuracy. (l) assess the uncertainty in a derived quantity by addition of actual, fractional, percentage uncertainties or by numerical substitution (a rigorous statistical treatment is not required). Playlist of teaching videos and lecture examples: https://youtube.com/playlist?list=PL_b5cjrUKDlY0aQFdGFfOKuFJQTiXzIeY

Hwa Chong Institution (College Section) H2 Physics C1 2023 3 Contents TOPIC 1: MEASUREMENT ................................ ................................ ....................... 2 1.1 Introduction ................................ ................................ ................................ ........4 1.2 Physical Quantities and Units................................ ................................ .............. 4 1.2.1 Base Quantities and Units ................................ ................................ ...........5 1.2.2 Derived Quantities and Units ................................ ................................ .......5 1.2.3 Homogeneity of equations ................................ ................................ ...........7 1.2.4 Prefixes ................................ ................................ ................................ ......9