Question
Download Solution PDFWith respect to the epicyclic gear train shown in the figure below, A has 75 teeth and B has 25 teeth; A is fixed and arm C makes 5 revolutions:
The number of revolutions made by B is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The velocity ratio between two mating gears is given by
Where ω is the angular velocity and T is the number of teeth.
Calculation:
The given gear train is an epicyclic gear train
|
Sr. No. |
Condition of motion |
Revolutions of elements |
||
|
Arm C |
Gear A |
Gear B |
||
|
1 |
Arm fixed, gear A rotates through + 1 (CCW) |
0 |
+1 |
|
|
2 |
Arm fixed, gear A rotates through + x revolutions |
0 |
+x |
|
|
3 |
Add +y revolutions to all elements |
+y |
+y |
+y |
|
4 |
Total Motion |
+y |
x + y |
|
Given TA = 75, TB = 25, NC = y = 5
NA = 0 = x + y ⇒ x = -y
Last updated on Jul 2, 2025
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