Dimensional Analysis Introduction

Multiple Choice

Using the gallon bot, how many quarts are in a gallon?

• 2

• 4

• 8

Multiple Choice

Using the gallon bot, how many pints are in a gallon?

• 4

• 8

• 16

Multiple Choice

Using the gallon bot, how many cups are in a quart?

• 4

• 8

• 16

Multiple Choice

Using the gallon bot, how many pints are in a 2 quarts?

• 4

• 8

• 16

Multiple Choice

Using the gallon bot, how many cups are in a 3 pints?

• 4

• 8

• 6

Multiple Choice

Using the gallon bot, determine which is greater....

8 cups or 1 quart

• 8 cups

• 1 quart

Multiple Choice

Using the gallon bot, determine which is less....

4 quarts or 1 gallon

• 4 quarts

• 1 gallon

• They are equal

Dimensional Analysis

• a method for converting between units that uses one or more unit conversion factors

Cancel units

Multiple Choice

What would be the final units of this problem?

• feet/minute

• yards/minute

• yards/second

• seconds/feet

Multiple Choice

What would the final label be?

$$\frac{ft}{\sec}\cdot\frac{\sec}{\min}\cdot\frac{mi}{ft}$$ ?

• $$\frac{\sec}{mi}$$

• $$\frac{mi}{\min}$$

• $$\frac{ft}{\min}$$

• $$\frac{mi}{h}$$

Multiple Choice

How do you make a single unit look like a fraction?

• $$\frac{mi}{1}$$

• $$\frac{1}{mi}$$

Multiple Choice

What would the final label be?

$$mi\cdot\frac{km}{mi}\cdot\frac{m}{km}$$

• $$\frac{km}{mi}$$

• $$\frac{ft}{m}$$

• m

• mi

Fill in the Blanks

What label would the following problem have?

$\frac{ft}{\sec}\cdot\frac{\sec}{h}\cdot\frac{mi}{ft}$

Multiple Choice

Choose the series of factors to convert in/h to mph.

• $$\frac{in}{\sec}\cdot\frac{\sec}{\min}\cdot\frac{\min}{h}\cdot\frac{in}{ft}$$

• $$\frac{in}{\sec}\cdot\frac{\sec}{h}\cdot\frac{ft}{in}$$

• $$\frac{in}{\sec}\cdot\frac{\sec}{\min}\cdot\frac{\min}{h}$$

Fill in the Blanks

What label would the final product have?

$in\cdot\frac{ft}{in}\cdot\frac{mi}{ft}$