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Question

An ant completes moving along a circle in time 5s. How much time will it take to travel along the diameter and come back?

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Solution

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Cicumference of the circle = 2pi R
and time=5s

Since And Completes one circle

We can find the speed of ant since time is given

Speed, S = distance/time So

S = fraction numerator 2 pi R over denominator 5 end fraction

Since we have to find the time taken to travel through and come back

That is by looking into the Figure distance of going to the diameter and comming back= 2(R+R)=4R

time t = (distance of going to the diameter and comming back)/speed

t equals fraction numerator 4 R over denominator begin display style fraction numerator 2 pi R over denominator 5 end fraction end style end fraction equals fraction numerator 4 cross times 5 over denominator 2 pi end fraction equals fraction numerator 20 over denominator 2 pi end fraction equals 10 over pi equals 3.18 s





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