PDF Name: Date: Class: bimensional Analysis Warm-up 2

[Pages:6]Name:________________

Date: _____________

Class: ____________

bimensional Analysis Warm-up 2

1. To convert from ounces to pounds, what conversion ratio would you use?

2. How many pounds are there in 96 ounces?

3. Which measure is greater, 54 ounces or 3.5 pounds?

4. If Sammy the snail is traveling at 4 inches per minute, how many feet will he travel in an hour?

16 http;//wwwteacherspayteacherscom/store/sarryschnejderman ? Barry Schneiderman, 2013

N a me

Date:

Class:

Dimensional Analysis Notes Sheet 2

Objective: Use Dimensional Analysis to convert and compare simple rates (using one or two conversion ratios).

A. The "Review"

RATIO:

RATE:

UNIT RATE:

DIMENSIONAL ANALYSIS: ________________________

USING DIMENSIONAL ANALYSIS TO CONVERT AND COMPARE:

How many inches are in 6 feet?

Which is larger, 16 yards or 50 feet?

B. The "New"

The uses of dimensional analysis go far beyond conversion between simple

measures. It can also be used to convert and compare

with different

Examples

.include

miles hour

-)

miles mi-nute

dollars cents pound -* ounce ,

-*

,

5

Using dimensional analysis to convert rates is

slightly more difficult, but also much more useful!

C. The "How To Do"

Example 1 (One conversion ratio) $144 per lb equals how many $ per oz?

Step I -- Set up the "given", the "get" and the "ratios":

What you Ratios used to get you from What you are given: 4-- here to there ~ want to get:

Step 2- Ensure

$144

that the units

.

1

"cancel" correctly:

sQ

loz

Units (Ib) cancel! Step 3- Multiply, multiply and divide:

Divide the product of the numerators by the product of denominators

Multiply numerators --> $144

Multiply denominators --+~ 1)7

oz

$

oz -- loz

So the answer is "$144 per lb equals $

per oz."

18 ?- Barry Schneiderman, 2013

Name:________________

Date: _____________

Class: ____________

bimensional Analysis Notes Sheet 2 (continued)

Objective: Use Dimensional Analysis to convert and compare simple rates (using one or two conversion ratios).

C. The "How To Do" (continued) Example 2: 4 inches per minute equals how many feet per hour?

Step I -- Set up the "given", the "get" and the "ratios":

What YOU Ratios used to get you from What you

aregiveii: C

here to there --...~ wanttU~get

Step 2- Ensure thattheunits "cancel" correctly:

4j/

D~iK flit --

~jhr

Dft

lhr

Step 3 -- Multiply, multiply and divide:

Multiply numerators -->_____

_______

Multiply denominators + lytt

hr

So the answer is:

Divide the product of the numerators

by the product of denominators

ft --

ft -- hr --

ft 1 hr

"4 inches per minute equals ____________ feet per hour."

D. The "Practice for you!" Jimmy can eat 3 jelly beans per second. How many dozen jelly beans can he eat in one minute? Step I -- Set up the "given", the "get" and the "ratios":

What you Ratios used to get you from What you are given: 4-- here to there --.> want to get:

Step 2- Ensure that the units "cancel" correctly:

Step 3 -- Multiply, multiply and divide:

"Jimmy can eat

dozen jelly beans in one minute."

19 ? Barry Schneidermari, 2013

Name:________________

Date: _____________

Class: ____________

bimensional Analysis Worksheet 2

Useful ratios you may need for this worksheet

iqt lyd 100cm 10mm 1W 0.62m1 S2SOft lft 3.78L un 28.35g 1km

4cups'3ft' lm ` 1cm `l6oz' 1km ` lmi `l2in' lgal'2.S4cm' loz `bOOm

1. Convert each of the given rates into the indicated equivalent rate. Use a calculator and round to the nearest tenth where necessary. The first example has been done for you.

What you

Ratios used to get you from

What you

are given: (

here to there

) want to get:

a.

35 calories 1,pI~f chicken

16p1

?

1 lb

560 calories 1 lb of chicken

b 2Smi

mi

lgal

1L

C l7gumlmozybears ?

ibgears

d 910m0m~t

lsefct

e.90~~"t 1mm

ft lhr

f 7blackants

un

black ants 1cm

TWO CONVERSION RATIOS NEEDED FROM HERE ON!

g4OYd ?

ft

1mm

lsec

h $aoo

llb

240m

I. 1mm

?

?

cents loz

km lhr

8 ozDf water lcup

lb of water iqt

22 ? Barry Schneiderman, 2013

Name:

Date:

Class:

Dimensional Analysis Worksheet 2 (Continued)

Useful ratios you may need for this worksheet:

1 qt lyd 100cm 10mm liLt 0.62m1 S2SOft ift 3.78L 1hz 28.35g 1km ic-up

4cups' 3ft ` im ` 1cm ` i?oz' 1km ` lmi ` 12hz' 1,gal `2.54cm' loz ` boOm' Boz

2. Which measure is greater? Use dimensional analysis to convert one rate to the units of the other rate (round to the nearest tenth where necessary). Then insert a >, ................
................

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