Chapter 2, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given metric-English equivalent is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 20E

The given metric-English equivalent is $\text{1}\text{m}=\text{1}\text{.09}\text{yd}$.

Explanation of Solution

The conversion given is $\text{1}\text{m}=\text{?}\text{yd}$. “ $\text{yd}$” is the unit denoting yard in the English system for the measurement of length. The English system of units can be converted to the metric system of units by using the equivalent factors. The relation between yard and meter is given below as,

$1\text{yd}=0.914\text{m}$

Thus, the equivalent for the conversion of $\text{m}$ into $\text{yd}$ can be calculated using the above relation as given below.

$\begin{array}{rll}1\text{yd}& =& 0.914\text{m}\\ \text{1}\text{m}& =& \frac{1\text{yd}}{0.914\text{m}}\times \text{1}\text{m}\\ & =& \text{1}\text{.09}\text{yd}\end{array}$

Conclusion

The given metric-English equivalent is $\text{1}\text{m}=\text{1}\text{.09}\text{yd}$.

Interpretation Introduction

(b)

Interpretation:

The given metric-English equivalent is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 20E

The given metric-English equivalent is $\text{1}\text{kg}=\text{2}\text{.20}\text{lb}$.

Explanation of Solution

The conversion given is $\text{1}\text{kg}=\text{?}\text{lb}$. “ $\text{lb}$” is the unit denoting pound in the English system for the measurement of mass. The English system of units can be converted to the metric system of units by using the equivalent factors. The relation between $\text{g}$ and $\text{lb}$ is given below as,

$\text{1}\text{lb}=\text{454}\text{g}$

The relation between $\text{g}$ and $\text{kg}$ is given below as,

$\text{1}\text{kg}=\text{1000}\text{g}$

Thus, the equivalent for the conversion of $\text{kg}$ into $\text{lb}$ can be calculated using the above relations as given below.

$\begin{array}{rll}\text{1}\text{kg}& =& \text{1000}\text{g}\times \frac{\text{1}\text{lb}}{\text{454}\text{g}}\\ \text{1}\text{kg}& =& \text{2}\text{.20}\text{lb}\end{array}$

Conclusion

The given metric-English equivalent is $\text{1}\text{kg}=\text{2}\text{.20}\text{lb}$.

Interpretation Introduction

(c)

Interpretation:

The given metric-English equivalent is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 20E

The given metric-English equivalent is $\text{1}\text{L}=\text{1}\text{.06}\text{qt}$.

Explanation of Solution

The conversion given is $\text{1}\text{L}=\text{?}\text{qt}$. “ $\text{qt}$” is the unit denoting quart in the English system for the measurement of volume. The English system of units can be converted to the metric system of units by using the equivalent factors. The relation between $\text{mL}$ and $\text{qt}$ is given below as,

$\text{1}\text{qt}=\text{946}\text{mL}$

The relation between $\text{mL}$ and $\text{L}$ is given below as,

$\text{1}\text{L}=\text{1000}\text{mL}$

Thus, the equivalent for the conversion of $\text{L}$ into $\text{qt}$ can be calculated using the above relations as given below.

$\begin{array}{rll}\text{1}\text{L}& =& \text{1000}\text{mL}\times \frac{\text{1}\text{qt}}{\text{946}\text{mL}}\\ \text{1}\text{L}& =& \text{1}\text{.06}\text{qt}\end{array}$

Conclusion

The given metric-English equivalent is $\text{1}\text{L}=\text{1}\text{.06}\text{qt}$.

Interpretation Introduction

(d)

Interpretation:

The given metric-English equivalent is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 20E

The given metric-English equivalent is $\text{1}\text{s}=\text{1}\text{sec}$.

Explanation of Solution

The conversion given is $\text{1}\text{s}=\text{?}\text{sec}$. “ $\text{sec}$” is the unit denoting seconds in the English system for the measurement of time. The English system of units can be converted to the metric system of units by using the equivalent factors. The seconds in the metric system of units are denoted by $\text{s}$. Thus, the equivalent given for the conversion of $\text{sec}$ in $\text{s}$ is given below as,

$\text{1}\text{s}=\text{1}\text{sec}$

Conclusion

The given metric-English equivalent is $\text{1}\text{s}=\text{1}\text{sec}$.