Question

A spur gear has a diametral pitch P=24 teeth/in. and a pitch diameter of 8 in. How many teeth does the gear have?

a. 62
b. 192
C. 3
d. 604

Answer 1

To determine the number of teeth on a spur gear, we can use the formula: Number of Teeth = Pitch Diameter × Diametral Pitch.

Step-by-step explanation:

In this question, we are given the diametral pitch (P) and the pitch diameter of a spur gear, and we are asked to determine the number of teeth on the gear. The diametral pitch is defined as the number of teeth per inch of the pitch diameter. To find the number of teeth on the gear, we can use the formula: Number of Teeth = Pitch Diameter × Diametral Pitch.

Given that the pitch diameter is 8 inches and the diametral pitch is 24 teeth/inch, we can calculate: Number of Teeth = 8 inches × 24 teeth/inch = 192 teeth. Therefore, the gear has 192 teeth.