An object is moving on a circular path of a π radius meters at a constant speed of 4.0 m/S. The time required for one revolution is (in sec) 

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ISRO URSC Technical Assistant Mechanical 24 March 2019 Official Paper
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  1. 2/π2
  2. π2/2
  3. π/2
  4. π2/4

Answer (Detailed Solution Below)

Option 2 : π2/2
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Detailed Solution

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Concept:

We know, 

Distance travel on the circular path in one revolution = perimeter of the circular path

S = π × Diameter of the path

S = π × D

where D is the diameter of the circular path

Calculation:

Given:

V = 4 m/sec, Radius = π meter

Hence Diameter (D) = 2π meter

So, S = π × D

S = π × 2 × π

S = 2π2

Hence time taken by the object in one revolution will be  sec

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