A simple pendulum takes 2.00 s to make one compete swing.If we now triple the length,how long will it take for one complete swing?
A)6.00 s
B)3.46 s
C)2.00 s
D)1.15 s
E)0.667 s

Question

Quizplus · Accepted Answer

The period of a pendulum is given by T=2π√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity. When we triple the length of the pendulum, the new length becomes 3l. Therefore, the new period T' is given by T'=2π√(3l/g)=(2π/√g)√(3l). Since g is constant, the ratio of T' to T is √(3l)/√l=√3. Thus, T'=√3×T=√3×2.00 s=3.46 s.

A Simple Pendulum Takes 2