Complete the table by using the equation of weight.
Explanation of Solution
Given data:
Pound-mass | kilogram | newton | Pound-force | |
Abbreviation | kg | |||
Example | 0.33 | 0.15 | 1.47 | 0.33 |
(a) | 10 | |||
(b) | 700 |
Calculation:
The pound can be used as a unit of force or mass. To distinguish mass in terms of pounds and force in terms of pounds, the units of mass in terms of pounds is pound-mass which is abbreviated as
Similarly, the units of force in terms of pounds is pound-force which is abbreviated as
The SI unit of force is Newtons, which is denoted as N.
Case (a):
Consider the conversion factor from kilogram to pound-mass.
Rearrange the conversion as follows.
Convert
Substitute
Since the object is on earth, therefore acceleration due to gravity
Consider the expression for force
Here,
Substitute
Consider the conversion factor from Newtons to pound-force.
Convert
Substitute
Case (b):
Convert
Substitute
Rearrange equation (1) to obtain the mass in terms of kilograms.
Substitute 700 N for F and
Convert
Substitute
Complete the table by using the calculated values as shown in Table 1.
Table 1
Pound-mass | kilogram | newton | Pound-force | |
Abbreviation | kg | N | ||
Example | 0.33 | 0.15 | 1.47 | 0.33 |
(a) | 10 | 4.535 | 44.5 | 10 |
(b) | 157.5 | 71.42 | 700 | 157.5 |
Conclusion:
Thus, the unknown parameters in the table are calculated.
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Chapter 8 Solutions
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