Chapter U3.2, Problem 6E

(a)

Interpretation Introduction

Interpretation: Interpret the graph of centimeter to inches in which the y-axis is centimeters and x-axis is inches.

Concept Introduction: The dimensional analysis is the method to convert one unit to another with the help of convertor factor.

The conversion factor represents the relation between two units and is used to convert one to another.

Both Inch and centimeter are units of length and can be converted into each other.

Answer to Problem 6E

  

Explanation of Solution

From the given ruler the conversion factor between inch and cm is:

1 inch = 2.54 cm

Thus the plot between inch and cm can be drawn as:

Inch	Cm
1	2.5
2	5.0
3	7.5
4	10.0
5	12.5

  

(b)

Interpretation Introduction

Interpretation: Interpret the conversion of 12 inch to centimeter.

Concept Introduction: The dimensional analysis is the method to convert one unit to another with the help of convertor factor.

The conversion factor represents the relation between two units and is used to convert one to another.

Both Inch and centimeter are units of length and can be converted into each other.

Answer to Problem 6E

12 in = 30 cm

Explanation of Solution

From the given ruler the conversion factor between inch and cm is:

1 inch = 2.5 cm

Substitute the value:

  $\text{12 in ×}\frac{\text{2}\text{.5 cm}}{\text{1in}}\text{= 30 cm}$

(c)

Interpretation Introduction

Interpretation: Interpret the conversion of 10 cm to in.

Concept Introduction: The dimensional analysis is the method to convert one unit to another with the help of convertor factor.

The conversion factor represents the relation between two units and is used to convert one to another.

Both Inch and centimeter are units of length and can be converted into each other.

Answer to Problem 6E

10 cm = 4 in

Explanation of Solution

From the given ruler, the conversion factor between inch and cm is:

1 inch = 2.54 cm

Substitute the value:

  $\text{10 cm ×}\frac{\text{1 in}}{\text{2}\text{.5 cm}}\text{= 4 in}$

(d)

Interpretation Introduction

Interpretation: Interpret the conversion of 1 cm to in.

Concept Introduction: The dimensional analysis is the method to convert one unit to another with the help of convertor factor.

The conversion factor represents the relation between two units and is used to convert one to another.

Both Inch and centimeter are units of length and can be converted into each other.

Answer to Problem 6E

1 cm = 0.4 in

Explanation of Solution

From the given ruler, the conversion factor between inch and cm is:

1 inch = 2.54 cm

Substitute the value:

  $\text{1 cm ×}\frac{\text{1 in}}{\text{2}\text{.5 cm}}\text{= 0}\text{.4 in}$