Journal 9/24 SWBAT: Use dimensional analysis to convert between units.

1.

What Metric unit would be appropriate to measure the distance to Green Bay, WI?

2.

Calculate with correct sig figs: a)5.28 m+ 3.1 m b) 150 m 3  4 m c) (1250 – (234.207/ 52.69)) 3.

Find the error: 680,500,000 = 68.05 x 10 8

Hour 1 & 4 1.

2.

3.

4.

Discuss Lab- Post lab due Monday DA notes DA practice Sheet Assign Lake Erie lab write-up – due Mon

Hour 3 1.

2.

3.

4.

Lab Discuss Lab – Post lab due Monday DA practice Sheet Assign Lake Erie lab write-up – due Mon

Hour 5 & 7 1.

2.

3.

4.

5.

Prep lab Lab Discuss Lab – Post lab due Monday DA practice Sheet Assign Lake Erie lab write-up – due Mon

MEASUREMENT

Unit Conversions Dimensional analysis

SI Prefix Conversions

1. Find the difference between the exponents of the two prefixes.

2. Move the decimal that many places.

To the left or right?

SI Prefix Conversions

NUMBER

UNIT

=

NUMBER UNIT

SI Prefix Conversions

Prefix

mega kilo BASE UNIT deci centi milli micro nano pico-

Symbol

M k -- d c m  n p

Factor

10 6 10 3 10 0 10 -1 10 -2 10 -3 10 -6 10 -9 10 -12

SI Prefix Conversions

1) 20 cm = 2) 0.032 L =

Dimensional Analysis  The “Factor-Label” Method  Units, or “labels” are canceled, or “factored” out

cm 3



g cm 3



g

Dimensional Analysis  Steps: 1. Write your given (include number and label) 2. Line up conversion factors so units cancel.

3. Multiply all top numbers & divide by each bottom number.

4. Check units & answer.

Dimensional Analysis Unit equality – relationship that is equal to one Example: 1 in = 2.54 cm OR 2.54 cm = 1 in Conversion Factor- fraction that uses unit equality, ratio is equal to one.

1 in 2.54 cm = 1 = 2.54 cm 1 in

Dimensional Analysis 

Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?

cm 8.0 cm 1 in 2.54 cm = 3.1 in in

Dimensional Analysis qt 

How many milliliters are in 1.00 quart of milk? (1 L = 1.057 qt)

mL

1.00 qt 1 L 1.057 qt 1000 mL = 946 mL 1 L



Dimensional Analysis

lb



You have 1.5 pounds of gold. Find its volume in cm 3 if the density of gold is 19.3 g/cm 3 .

cm 3 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm 3 19.3 g = 35 cm 3

Dimensional Analysis 

How many liters of water would fill a container that measures 75.0 in 3 ?

in 3 L 75.0 in 3 (2.54 cm) 3 (1 in) 3 1 L 1000 cm 3 = 1.23 L

Dimensional Analysis cm 

The Rockets need 550 cm for a 1st down. How many yards is this?

550 cm 1 in 1 ft 2.54 cm 12 in 1 yd = 6.0 yd 3 ft

yd

Dimensional Analysis 

A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?

cm pieces 1.3 m 100 cm 1 m 1 piece 1.5 cm = 86 pieces

REVISED Weekly Schedule Monday Urine Article Tuesday Wednesday Dimensional analysis Pre-lab lake Erie Density & Temperature Thursday Lake Erie lab; How toxic? WS Friday DA Quiz all DA HW due!

Prep Urine Lab