A pendulum Makes an arc of length of 18 in. on its first swing. On Each suceeding Swing,The length of the arc is one-third the lenght of the preceding swing.How far does the Tip of the pendulum move before it comes to rest?

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Infinite Geometric Sequence

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Answer 1 · 2018-08-03T07:43:55

Total length of the path that the tip of the pendulum traverses before coming to rest will be

#=18(1+1/3+1/3^2+1/3^3....."up to "oo)# in.

#=18*(1/(1-1/3))# in

#=18*3/2=27# in.