20. A spur gear pinion and gear shown on a drawing have a diametral pitch of 12. The pitch radius of the pinion is 1.500 inches and the gear ratio is
specified to be 1:3. On the print, you would expect the pitch diameter of the gear to be
OA. 9.00 inches.

Respuesta :

On the print you would expect the pitch diameter of the gear to be 9.00 inches. Option A is right.

How to solve for the diameter

Gear ratio = 1/3

This is solved as number of teeth on pinion / teeth on gear

= Np/Ng

The pitch diameter = 1.5 x 2

= 3

Diametral pitch = 12

NP = 3 x 12 = 36

This is the teeth on piston

Ng = 3NP

Ng = 3 * 36

= 108

Hence pitch diameter = 108/12 = 9

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