Annular wheel of an epicyclic gear train has 80 teeth.If plant wheel have 16 teeth, the sun wheel have how many teeths?
Answers
Answer:
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Step-by-step explanation:
An epicyclic gear train (also known as planetary gear) consists of two gears mounted so that the center of one gear revolves around the center of the other. A carrier connects the centers of the two gears and rotates to carry one gear, called the planet gear or planet pinion, around the other, called the sun gear or sun wheel. The planet and sun gears mesh so that their pitch circles roll without slip. A point on the pitch circle of the planet gear traces an epicycloid curve. In this simplified case, the sun gear is fixed and the planetary gear(s) roll around the sun gear
Answer:
The number of teeth on the sun wheel is 48.
Step-by-step explanation:
Given:
= 80, = 16
To find:
The number of teeth on the sun wheel () =?
Solution:
We know that the radius of the annular wheel, planet wheel, and sun wheel are related as
Since m = 2R/T, the radius is directly proportional to teeth, i.e., R∝T.
Therefore,
Substituting the given values, we get
80 = 2(16) +
80 = 32 +
= 80-32
= 48
Therefore, the sun wheel has 48 teeth.
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