Use the Following Information to Solve Problems 7 Through 10 $D=\frac{N}{P}$

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 .