Question 83017
(b) 1.5 ft
p = period
s = length in ft
k = constant of proportionality
{{{p = k*sqrt(s)}}}
{{{k = p/sqrt(s)}}}
{{{k = 2/sqrt(6)}}}
p = 1 sec
{{{1 = k*sqrt(s)}}}
{{{1 = (2/sqrt(6))*sqrt(s)}}}
{{{sqrt(s) = sqrt(6) / 2}}}
square both sides
{{{s = 6 / 4}}}
{{{s = 3/2}}}
length for a 1 sec period is 1.5 ft answer