A gear having 100 teeth is fixed and another gear having 25 teeth revolves around it, the centre lines of both gears being joined by an arm. How many revolutions will be made by the gear of 25 teeth for one revolution of the arm?

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SSC JE ME Previous Paper 5 ( Held on: 2 March 2017 Morning)
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  1. 4
  2. 3
  3. 5
  4. 6

Answer (Detailed Solution Below)

Option 3 : 5
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Detailed Solution

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Concept:

Calculation:

Given:

TA = 25, TB = 100, Speed of arm, y = 1 revolution, Speed of B, NB = 0

Activities

Arm C (y)

Gear A (NA)

Gear B (N­­B)

Arm fixed-gear A rotates though + 1 revolution (i.e. 1 rev. anticlockwise)

0

+1

Arm fixed-gear A rotates through + x revolutions

0

+x

Add + y revolutions to all elements

y

+y

+y

Total Motion

y

y + x


NB = 0 

x = 4

NA = x + y

NA = 4 + 1 = 5

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