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?

Infinite Geometric Sequence

1 Answer
Aug 3, 2018

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.