Exam 32: Formulas and Handbook Data

What is the inch equivalent of 56 millimeters? Round the answer to the nearest thousandth as necessary.

Find the thickness of the gear tooth T . Round the answer to the nearest thousandth.

Find the addendum A . Round the answer to the nearest thousandth.

Find the outside diameter O .

The formula to determine the arithmetic mean or average of a set of n numbers is $\bar{X}=\frac{\sum X}{n-1}$ , where $\bar{X}$ is the arithmetic mean of numbers in a set of data, and $\sum X$ represents the sum of the numbers in the data set.

Use the following information to solve problems 7 through 10. A drafter must determine several measurements before a gear can be drawn. These measurements are often found by using formulas. Most gear-cutting data can be found if the diametral pitch P and the number of teeth N are known. Given the diametral pitch P is 8, and the number of teeth N is 96, use the following formulas to solve the problems. a. Pitch Diameter D: $D=\frac{N}{P}$ b. Outside Diameter O: $\mathrm{O}=\frac{\mathrm{N}+2}{\mathrm{P}}$ c. Addendum A: $A=\frac{1.000}{P}$ d. Thickness of the Gear Tooth T: $\mathrm{T}=\frac{1.5708}{\mathrm{P}}$ e. Depth of the Gear Tooth W: $W=\frac{2.157}{P}$ Find the pitch diameter D .

Formulas are used to obtain dimensions for layout purposes or for the manufacture of a product and the construction of a building.

When making a full development of the slope of a right circular cone the drafter lays out an angle found by using the formula: Slope = R/S ? 360°. Determine the measure of the angle if R = 45 mm and S = 120 mm.

What is the area equivalent, in square inches, of 14 square centimeters?

What is the diameter of a circle in inches whose circumference is 62.45 inches? Use pi equal to 3.1416 and round the answer to the nearest hundredth.