An ant takes 5s to complete one round trip along a circular path. How much time will it take for the ant to travel along the diameter of the circle and come back? Assume that the speed of the ant is constant throughout the process.
A
10πs
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B
π10s
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C
10s
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D
5πs
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Solution
The correct option is A10πs Let the radius of the circular path be r. ⟹ the diameter of the circle =2r
Case 1:
The distance travelled along the circumference = 2πr
Time taken, t1 = 5s speed=distancetime=2πr5
Case 2:
The distance travelled along the diameter = 4r (twice the diameter) Timetaken=distancespeed=4r2πr5 Timetaken=4r×52πr=202π =10πs or 3.1818s