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(a)
Interpretation: The rainstorm which dropped the most rain needs to be determined on the basis of given data:
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
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 whereas cm3 is the unit of volume.
(a)
Answer to Problem 7E
Storm 4 dropped most of rain because the volume is maximum in storm 4. Thus, volume and height are used to determine the storm with most rain.
Explanation of Solution
Given:
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
According to given data the storm number 4 dropped most of rain. This is because volume is highest in storm 4 that is 20.0 cm3.
(b)
Interpretation: The pattern in the rainstorm needs to be determined with below data.
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
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 whereas cm3 is the unit of volume.
(b)
Answer to Problem 7E
The volume of rain increases from storm 1 to storm 5 therefore it is an increasing pattern.
Explanation of Solution
Given:
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
According to given data the volume of rain and height increase from storm 1 to 5. Therefore it exhibits the increasing pattern.
(c)
Interpretation: The graph between height and volume that show the proportionality of height with volume needs to be drawn.
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
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 whereas cm3 is the unit of volume.
(c)
Answer to Problem 7E
Explanation of Solution
Given:
| Strom number | Height | Volume (cm3) |
| 1 | 1 cm | 2.5 |
| 2 | 2.5 cm | 6.3 |
| 3 | 0.5 cm | 1.1 |
| 4 | 8 cm | 20.0 |
| 5 | 5 cm | 12.5 |
According to given data the graph between height and volume is as given below;
The straight line in curve reflects that with increase in height, the volume of rain increase. Thus height is directly proportional to volume of rain.
(d)
Interpretation: The reason for all the data points to not lie exactly on a straight line needs to be explained.
| Storm number | Height | Volume (cm3) |
| 1 | 0.5 cm | 1.1 |
| 2 | 1 cm | 2.5 |
| 3 | 2.5 cm | 6.3 |
| 4 | 5 cm | 12.5 |
| 5 | 8 cm | 20.0 |
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 whereas cm3 is the unit of volume.
(d)
Answer to Problem 7E
In the given graph, all the data points do not all lie exactly on a straight line because with the height is not increasing in exact proportion of volume of rain fall.
Explanation of Solution
According to given data the graph between height and volume is as given below;
| Strom number | Height | Volume (cm3) |
| 1 | 0.5 cm | 1.1 |
| 2 | 1 cm | 2.5 |
| 3 | 2.5 cm | 6.3 |
| 4 | 5 cm | 12.5 |
| 5 | 8 cm | 20.0 |
In the given graph, all the data points do not all lie exactly on a straight line because with the height is not increasing in exact proportion of volume of rain fall.
(e)
Interpretation: The volume of rainfall at 6.0 cm height needs to be determined.
| Storm number | Height | Volume (cm3) |
| 1 | 0.5 cm | 1.1 |
| 2 | 1 cm | 2.5 |
| 3 | 2.5 cm | 6.3 |
| 4 | 5 cm | 12.5 |
| 5 | 8 cm | 20.0 |
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 whereas cm3 is the unit of volume.
(e)
Answer to Problem 7E
At 6.0 height = 15.0 cm3 volume
Explanation of Solution
According to given data the graph between height and volume is as given below;
In the platted graph, at height 6.0 cm, the volume of rain fall is 15.0 cm3.
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