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 revolution will be made by gear of 25 teeth for one revolution of arm:

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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:

TB = 100; TA = 25

 

Step No.

 

Conditions of motion

Revolutions of elements

Arm C

Gear A

Gear B

1.

 

2.

 

3.

 

4.

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

Arm fixed-gear A rotates through + x revolutions

Add + y revolutions to all elements

 

Total motion

0

 

0

 

+y

 

+y

+ 1

 

+x

 

+y

 

x + y

 

 

    

 

            +y

 

         

y = 1; NB = 0

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