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Questions and Answers
What is the purpose of using a conversion factor in chain-link conversion?
What is the purpose of using a conversion factor in chain-link conversion?
- To simplify mathematical expressions unrelated to units
- To change the value of the quantity being measured
- To cancel unwanted units while converting measurements (correct)
- To compare measurements from different systems without changing them
How should conversion factors be introduced during calculations?
How should conversion factors be introduced during calculations?
- By using only one measurement for conversion
- As ratios where both the numerator and denominator contain identical values
- In a manner that ensures unwanted units cancel out (correct)
- In such a way that unwanted units must remain
What is a critical caution to take when creating conversion factors?
What is a critical caution to take when creating conversion factors?
- Treat conversion factors like basic numbers without regard to units
- Ensure the conversion factor is used in the right context to avoid incorrect cancellations (correct)
- Only use conversion factors between SI units
- Always write conversion factors as simple fractions
What is an important characteristic of conversion factors related to unity?
What is an important characteristic of conversion factors related to unity?
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What should you do if units do not cancel when applying a conversion factor?
What should you do if units do not cancel when applying a conversion factor?
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Study Notes
Changing Units
- Unit conversion is essential for expressing physical quantities in different measurements.
- Chain-link conversion involves employing conversion factors, which are ratios of units equal to one.
- An example of a conversion factor is the relationship between minutes and seconds: 1 min = 60 s.
- Conversion factors can be represented as (1 min)/(60 s) or (60 s)/(1 min) to facilitate calculations.
- It is crucial to treat numbers and their corresponding units as a single entity when performing conversions.
- Introducing conversion factors is beneficial as they do not alter the original measurement's value, maintaining unity.
- In chain-link conversion, unwanted units can be canceled by strategically applying conversion factors.
- If the units do not cancel correctly, the conversion factor should be inverted and reapplied.
- Units in conversions follow the same algebraic rules as variables and numbers in mathematics.
- Appendix D provides a list of conversion factors between the International System (SI) and other units, including non-SI units used in the U.S.
- Conversion factors are presented in the form “1 min = 60 s,” requiring careful selection of numerators and denominators for correct ratios.
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