Chapter Questions
A sphere has a volume, $V$, of $12.249 \mathrm{cu}$ in. Use the formula $D=\sqrt[3]{\frac{V}{0.5236}}$ to determine the diameter, $D$, of the sphere. the sphere.
Compute $7 \frac{3}{5} \div 4 \frac{1}{2}$. Express the result as a common fraction or mixed number, whichever is appropriate.
Compute $4.891 \div 1.34$
Write 0.275 as a common fraction.
Evaluate $7 \frac{3}{4}-\left(\frac{9}{16}+2 \frac{1}{2}\right)$.
The feed on a lathe is set for $\frac{1}{32}$ inch. How many revolutions does the work make when the tool advances $7 \frac{3}{8}$ inches?
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table. $\frac{25}{32}$
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table. $\frac{7}{32}$
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table. $\frac{11}{32}$
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table. $\frac{13}{16}$
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table.$\frac{5}{64}$
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table.0.671875
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table.0.3125
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table.0.28125
Find the fraction or decimal equivalents of these numbers using the decimal equivalent table.0.203125
Find the nearer fraction equivalents of these decimals using the decimal equivalent table0.541
Find the nearer fraction equivalents of these decimals using the decimal equivalent table0.762
Find the nearer fraction equivalents of these decimals using the decimal equivalent table.0.465
Find the nearer fraction equivalents of these decimals using the decimal equivalent table.0.498
Find the nearer fraction equivalents of these decimals using the decimal equivalent table.
0.209
0.805
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$0.5231+10.375 \div 4.32 \times 0.521$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$81.07 \div 12.1+2 \times 3.7$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$\frac{56.050}{3.8} \times 0.875-3.92$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$(24.78-19.32) \times 4.6$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$(14.6 \div 4-1.76)^2 \times 4.5$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary $27.16 \div \sqrt{1.76+12.32}$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$(\sqrt{3.98+0.87 \times 3.9})^2$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$(3.29 \times 1.7)^2 \div(3.82-0.86)$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$0.25 \times\left(\frac{\sqrt{64} \times 3.87}{8.32 \times 5.13}\right)+18.3^2$
Solve these examples of combined operations. Round the answers to 2 decimal placeswhere necessary$18.32-\sqrt{\frac{7.86 \times 13.5}{3.5^2-0.52}} \times 0.7$
Figure 16-3 shows the three-wire method of checking screw threads. With proper diameter wires and a micrometer, very accurate pitch diameter measurements can be made. Using the formula given, determine the micrometer dimension over wires of the American (National) Standard threads in the following table. Round the answer to 4 decimal places.$$$$\begin{array}{|c|c|c|c|}\hline \begin{array}{c}\text { Major } \\\text { Diameter } \\\boldsymbol{D} \text { (inches) }\end{array} & \begin{array}{c}\text { Pitch } \\\boldsymbol{P} \text { (inches) }\end{array} & \begin{array}{c}\text { Wire } \\\text { Diameter } \\W \text { (inches) }\end{array} & \begin{array}{c}\text { Dimension } \\\text { Over Wires } \\\boldsymbol{M} \text { (inches) }\end{array} \\\hline 0.8750 & 0.1250 & 0.0900 & \\\hline 0.2500 & 0.0500 & 0.0350 & \\\hline 0.6250 & 0.1000 & 0.0700 & \\\hline 1.3750 & 0.16667 & 0.1500 & \\\hline 2.5000 & 0.2500 & 0.1500 & \\\hline\end{array}$$M=D-(1.5155 \times P)+(3 \times W)$$
A bronze bushing with a diameter of 22.225 millimeters is to be pressed into amounting plate. The assembly print calls for a bored hole in the plate to be 0.038millimeter less in diameter than the bushing diameter. The hole diameter in the platechecks 22.103 millimeters. By how much must the diameter of the plate hole beincreased in order to meet the print specification?
A stamped sheet steel plate is shown in Figure 16-4. Compute dimensions A–F to 3 decimal places. All dimensions are in inches.A =B =C =D =E =F =
A flat is to be milled in three pieces of round stock each of a different diameter. The length of the flat is determined by the diameter of the stock and the depth of cut. The table gives the required length of flat and the stock diameter for each piece. Determine the depth of cut for each piece to 2 decimal places using this formula.$$C=\frac{D}{2}-0.5 \times \sqrt{4 \times\left(\frac{D}{2}\right)^2-F^2}$$
A slot is machined in a circular plate with a 41.36-millimeter diameter. Two milling cuts, one 6.30 millimeters deep and the other 3.15 millimeters, are made. A grinding operation then removes 0.40 millimeter. What is the distance from the center of the plate to the bottom of the slot? All dimensions are in millimeters.
A $60^{\circ}$ slot has been machined in a fixture. The slot is checked by placing a pin in the slot and indicating the distance between the top of the fixture and the top of the pin as shown. Compute distance $H$ to 3 decimal places by using this formula. All dimensions are in inches.
A $60^{\circ}$ slot has been machined in a fixture. The slot is checked by placing a pin in the slot and indicating the distance between the top of the fixture and the top of the pin as shown. Compute distance $\mathrm{H}$ to 3 decimal places by using this formula. All dimensions are in inches.$$H=1.5 \times D-0.866 \times W$$