# Answer to Question #1667 in Mechanics | Relativity for dayne

Question #1667

A simple pendulum has a period of 3.6 s. What is its length? Answer in meters.

Expert's answer

The period and the length of mathematical pendulum are related by the following expression:

T = 2 π √(L/g)

Thus the length is L = T

T = 2 π √(L/g)

Thus the length is L = T

^{2}g/4π^{2}= 3.6^{2}* 9.8 / (4*3.14^{2}) = 3.22 [m]
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