Chapter 27, Problem 35A

To determine

(A)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $0.620\text{inch}$ can be expressed in millimeters as $15.75\text{mm}$.

Explanation of Solution

Given Information:

Given,the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $0.620\text{inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.620\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=15.75\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $0.620\text{inch}$ can be expressed in inches as $15.75\text{mm}$.

To determine

(B)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $1.125\text{inches}$ can be expressed in millimeters as $28.58\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in})=25.4\text{ millimeters (mm})$

Converting $1.125\text{inches}$ to millimeters by multiplying it with the unit fraction,

$15.75\text{mm}$

$\Rightarrow 1.125\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=28.58\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $1.125\text{inches}$ can be expressed in inches as $28.58\text{mm}$.

To determine

(C)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $12.875\text{inches}$ can be expressed in millimeters as $327.03\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $12.875\text{inches}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 12.875\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=327.03\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $12.875\text{inches}$ can be expressed in inches as $327.03\text{mm}$.

To determine

(D)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $0.988\text{inch}$ can be expressed in millimeters as $25.10\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $0.988\text{inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.988\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=25.10\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $0.988\text{inch}$ can be expressed in inches as $25.10\text{mm}$.

To determine

(E)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $0.130\text{inch}$ can be expressed in millimeters as $3.30\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=\text{25}\text{.4 millimeters (mm)}$

Converting $0.130\text{inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.130\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=3.30\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $0.130\text{inch}$ can be expressed in inches as $3.30mm$.

To determine

(F)

To express the dimensions in inches up to 3 decimal places.

Answer to Problem 35A

The dimension $\frac{1}{2}\text{inch}$ can be expressed in millimeters as $12.7\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $\frac{1}{2}\text{inch}=0.5\text{inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.5\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=12.7\text{mm}$

Hence, the dimension $\frac{1}{2}\text{inch}$ can be expressed in inches as $12.7\text{mm}$.

To determine

(G)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $\frac{63}{64}\text{inch}$ can be expressed in millimeters as $24.99\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $\frac{63}{64}\text{inch}=0.984\text{inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.984\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=24.99\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $\frac{63}{64}\text{inch}$ can be expressed in inches as $24.99\text{mm}$.

To determine

(H)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $\frac{3}{32}\text{inch}$ can be expressed in millimeters as $2.36\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $\frac{3}{32}\text{in}=0.093\text{in}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.093\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=2.36\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $\frac{3}{32}\text{inch}$ can be expressed in inches as $2.36\text{mm}$.

To determine

(I)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $\frac{11}{18}\text{inch}$ can be expressed in millimeters as $15.54\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $\frac{11}{18}\text{inch}=0.612\text{ inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.612\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=15.54\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $\frac{11}{18}\text{inch}$ can be expressed in inches as $15.54mm$.

To determine

(J)

To express the dimensions in millimeters up to 2 decimal places.

Answer to Problem 35A

The dimension $\frac{3}{8}\text{inch}$ can be expressed in millimeters as $9.53\text{mm}$.

Explanation of Solution

Given Information:

Given, the shaft shown in figure is dimensioned in inches.

  

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

$1\text{ inch (in) }=25.4\text{ millimeters (mm)}$

Converting $\frac{3}{8}\text{inch}=0.375\text{ inch}$ to millimeters by multiplying it with the unit fraction,

$\Rightarrow 0.375\text{in}\times \frac{25.4\text{mm}}{1\text{in}}=9.53\text{mm}\left(\text{rounded}\right)$

Hence, the dimension $\frac{3}{8}\text{inch}$ can be expressed in inches as $9.53\text{mm}$.