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Solved: A parallel helical gearset uses a 20-tooth pinion
Chapter 13, Problem 13-6(choose chapter or problem)
A parallel helical gearset uses a 20-tooth pinion driving a 36-tooth gear. The pinion has a right-hand helix angle of \(30^{\circ}\), a normal pressure angle of \(25^{\circ}\), and a normal diametral pitch of 4 teeth/in. Find:
(a) The normal, transverse, and axial circular pitches
(b) The normal base circular pitch
(c) The transverse diametral pitch and the transverse pressure angle
(d) The addendum, dedendum, and pitch diameter of each gear
Questions & Answers
QUESTION:
A parallel helical gearset uses a 20-tooth pinion driving a 36-tooth gear. The pinion has a right-hand helix angle of \(30^{\circ}\), a normal pressure angle of \(25^{\circ}\), and a normal diametral pitch of 4 teeth/in. Find:
(a) The normal, transverse, and axial circular pitches
(b) The normal base circular pitch
(c) The transverse diametral pitch and the transverse pressure angle
(d) The addendum, dedendum, and pitch diameter of each gear
ANSWER:Step 1 of 7
Given:
\(\begin{array}{l}\text{Diametral pitch } (p)=4 \text{ teeth } / \text{ in}\\ \text{Number of teeth on pinion } \left(N_{P}\right)=20 \text{ teeth}\\ \text{Number of teeth on gear } \left(N_{G}\right)=36 \text{ teeth}\\ \text{Helix angle, } \psi=30^{\circ}\\ \text{Normal pressure angle, } \phi=25^{\circ}\end{array}\)