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Question 15.33: (a) Give a list of the common applications of planetary gear...

(a) Give a list of the common applications of planetary gear trains. Describe the working of the differential mechanism of a motor car. (b) In the planetary gear train shown in Fig.15.37, gear 1 has 50 teeth and gear 3 has 90 teeth. Determine the number of equally spaced planets that can be used without overlapping. The gears are standard. The formula used is to be derived, stating the assumptions made.

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z_{3}=z_{1}+2 z_{2} .

90=50+2 z_{2} .

z_{2}=20 .

Let n be the number of planets equally spaced. Then

n d_{2}=\pi\left(d_{3}-d_{2}\right) .

For same module of all gears,

n Z _{2}=\pi\left(z_{3}- Z _{2}\right) .

n=\pi(90-20) / 20=11 .

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