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Dimensional Analysis
Dimensional Analysis: A mathematical tool used to convert from one type of unit to another type of unit The Method Ladder
Situation: You need to change $50 dollars into nickels Situation: You need to change $50 dollars into nickels. How many nickels do you need ???
1. Write down what we are given We need a plan of attack! (4 Steps) 1. Write down what we are given $50 dollars
We need a plan of attack! 2. Find a common ratio 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels
We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio on the ladder so the unit that’s given is on the bottom
$50 dollars 20 nickels $1 dollar Situation: You need to change $50 dollars into nickels. How many nickels do you need ??? $50 dollars 20 nickels $1 dollar
We need a plan of attack! 4. Simplify!!! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio in the chart so that unit that is in the given is on the bottom 4. Simplify!!!
Simplify means cancel out units and do the math $50 dollars 20 nickels $1 dollar 1000 nickels Simplify means cancel out units and do the math (Multiply the top and divide on the bottom)
inches
English System inches feet yard mile
English System mm inches feet yard mile
English System mm inches cm feet dm meter yard mile km
English System mm inches cm feet dm meter yard mile km
English System mm inches cm feet 1 dm meter yard mile km
English System mm inches cm feet 1 2.54 dm meter yard mile km
Common equalities: 1 inch = 2.54 cm 60 seconds = 1 minute
1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. Equalities 1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. 2.54 cm = 1 inch
English System mm inches cm feet 1 2.54 dm meter yard mile km 1 3.28 1 1.09 mile km 1 1.61
Problem 1: Convert - 8.5 cm = ? inches
Problem 1: 1 in 8.5 cm ______________ 2.54 cm = 3.35 in.
1 in 12.75 cm ______________ 2.54 cm = 5.02 in. 12.75 cm = ? in Problem 2: 12.75 cm = ? in 1 in 12.75 cm ______________ 2.54 cm = 5.02 in.
Problem 3: 32 ft second = meters min ?
1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 585.37 m_ min = Problem 3: 1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 32 ft/sec to meters/min 32 ft meter sec min 585.37 m_ min =
Worksheet: Dimensional Worksheet #1 DUE:
Worksheet: Dimensional Worksheet #1 DUE: In 20 Min.