Chapter 50, Problem 1A

Refer to the Decimal-Inch Spur Gears Table under the heading "Gearing-Diametral Pitch System" in Unit 48 to determine the pitch diameter of an 8-pitch gear that has 45 teeth.

To determine

The pitch-diameter.

Answer to Problem 1A

The required value is $5.625\text{inches}$.

Explanation of Solution

Given problem:

  $\begin{array}{l}\text{given}\text{:}\\ \text{N}\text{=}45\\ \text{P}\text{=}8\end{array}$

Calculation:

We need to calculate the pitch diameter,

Pitch diameter is given by

  $\text{D}\text{=}\frac{\text{N}}{\text{P}}$

Where,

D= Pitch diameter

P = number of gear pitches

N = number of teeth.

  $\Rightarrow \text{D}\text{=}\frac{\text{45}}{\text{8}}=5.625\text{inches}$

The required value is $5.625\text{inches}\text{.}$