Physics Topic 1

Measurements and Mathematics

• Physics• Measurements and Mathematics• Obj: SWBAT perform unit conversions and

assign the number of significant digits to ameasurement

• Do Now: What are some concerns you havefor physics?

• HW: Sign and return syllabus, sign up forRemind

• Physics• Measurements and Mathematics• Obj: SWBAT perform unit conversions and

assign the number of significant digits to ameasurement

• Do Now: How many cm are in 3.4 m?• HW: Sign and return syllabus, sign up for

Remind

SI UnitsCO

PY T

HESE

SI Prefixes

Conversions• 1 Tera gram = 1,000,000,000,000 grams• 1 Giga gram = 1,000,000,000 grams• 1 Mega gram = 1,000,000 grams• 1 kilogram = 1,000 grams• 1 gram = 100 centi grams• 1 gram = 1,000 milli grams• 1 gram = 1,000,000 micro grams• 1 gram = 1,000,000,000 nano grams• 1 gram = 1,000,000,000,000 pico grams

Dimensional Analysis (a fancy namefor changing units)

Tools for Measurement• Time

• Angle• Force

• Mass• Length

Making Measurements

• Read what the instrument says ANDONE MORE UNIT!!!

Trigonometry

• Sin A• Sin C• Cos A• Cos C• Tan A• Tan C

• 20/29• 21/29• 21/29• 20/29• 20/21• 21/20

• Sin A• Sin C• Cos A• Cos C• Tan A• Tan C

• 40/50• 30/50• 30/50• 40/50• 40/30• 30/40

• Sin A• Sin C• Cos A• Cos C• Tan A• Tan C

• 36/39• 15/39• 15/39• 36/39• 36/15• 15/36

• Sin A• Sin C• Cos A• Cos C• Tan A• Tan C

• 8/17• 15/17• 15/17• 8/17• 8/15• 15/8

Uncertainty in Measurement

• Precise – when data points are close to eachother

• Accuracy – when data points are close to thecorrect value

• Physics• Measurements and Mathematics• Obj: SWBAT perform unit conversions and

assign the number of significant digits to ameasurement

• Do Now: How many SigFigs are in 3.400 m?• HW: Sign and return syllabus, sign up for

Remind

Significant Figures / Digits (Sig Figs)• Rules for counting

1. All non-zero numbers count2. Zeros before a non-zero digit don’t count3. Zeros in-between non-zero digits count4. Zeros after non-zero digit only count if there’s a

decimal point

How many significant figures arerepresented in each of the following

numbers?

Adding and Subtracting

• Answer has the fewest number of

decimal places

Multiplication and Division

• Answer has the fewest number ofSignificant Digits

Scientific Notation

• Only count the coefficient for Significant Digits

Math with Scientific Notation• Add/Subtract power of 10 must be the

same

• Multiplication/Division

Rewrite the following numbers inscientific notation

• 4020• 13796• 0.015• 0.0000007• 1.80• 1 trillion• 430,000,000,000,000,000

Graphs• Independent variable – what the

experimenter changes (x-axis)• Dependent variable – what the experiment

measures (y-axis)

ProportionsInverse Constant

Direct Squared

Direct

Indirect Squared

Scalars and Vectors

• Scalar – quantity with magnitude only• Vector – quantity with magnitude and

direction