u0: data analysis

Question 1

sig figs: 600.0

Answer 1

4

Question 2

when are sig figs infinity?

Answer 2

when its a count and not a measure

Question 3

sig figs when multiplying/dividing vs adding/subtracting

Answer 3

• multiplying/dividing: do lowest number of sig figs
• addition/subtraction: do least amount of decimal places

Question 4

when doing any operation, remember to….

Answer 4

PUT UNITS ON ANSWER

Question 5

rounding w/ numbers ending in 5

Answer 5

• even number: round down
• odd number: round up

Question 6

how to do unit conversions?

Answer 6

1. find conversion factor
2. cancel units u don’t want

Question 7

how do we find conversion factor?

Answer 7

C.F. = bigger unit/smaller unit
smaller unit = 1 bigger unit

Question 8

how do we find conversion factor if its unit CUBED

Answer 8

after finding the CF, apply an exponent to the whole thing on both sides

Question 9

weakest link rule

Answer 9

amnt of sig figs u use during operations

Question 10

wht to kep in mind when performing calculations with units?

Answer 10

• apply operations to units as well
• i.e. (3cm x 3 cm = 9cm CUBED not just 9 cm)

Question 11

absolute error

Answer 11

same units as measurement

Question 12

relative/percent error

Answer 12

percent of given measurement

Question 13

two ways to determine avg uncertainty (when we find avg of measured vals)

Answer 13

1. deviation
2. avg uncertainty

Question 14

deviation

Answer 14

(highest - lowest)/2

Question 15

avg uncertainty

Answer 15

avg uncertainty = theta over square root N

Question 16

sig figs of absolute error

Answer 16

same precision (decimal pts)

Question 17

sig figs of relative/percent uncertainty

Answer 17

1 figure (unless number is like 12)

Question 18

formula: absolute to relative uncertainty

Answer 18

% uncertainty = (absolute uncertainty/measured value) x 100%

Question 19

formula: relative to absolute uncertainty

Answer 19

abs. uncertainty = (% uncertainty/100%) x measured value

Question 20

propogating errors means

Answer 20

• adding/subtracting numbers w/ absolute uncertainties

Question 21

how to add/subtract absolute uncertainties

Answer 21

• add absolute uncertainties separately
• follow precision (decimals) of measured val

Question 22

wht do we do when multiplying/dividing numbers w/ percent uncertainties

Answer 22

• add percent uncertainties
• if given absolute values, convert all to percent first
• multiply measured vals WITH units

Question 23

types of graphs

Answer 23

• no relationship
• linear
• power
• inverse
• root

Question 24

no relationship

Answer 24

y doesn’t depend on x

Question 25

linear

Answer 25

y ∝ x

Question 26

power

Answer 26

y ∝ x^2, x^3…

Question 27

inverse

Answer 27

y ∝ 1/x
y ∝ 1/(x^2, x^3…)

Question 28

root

Answer 28

y ∝ square root of x, third square root of x…

Question 29

how do we title graphs?

Answer 29

dependent variable vs independent variable (y vs x)

Question 30

constant of proportionality

Answer 30

slope of a linearized graph